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Toward the Unification of
Physics and Number Theory
Klee Irwin
At Quantum Gravity Research in
Los Angeles, we are developing a
fundamental physics unification
model called emergence theory.
If we are successful, it will be the
only microscopic first-principles
theory of everything, providing
analytical expressions for values
such as the Planck constant – a
first-principles theory of
everything.
What clues does nature offer for
what a first-principles theory of
everything should look like?
I will show you seven clues and one
solution that embraces them all.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
I will show you seven clues and one
solution that embraces them all.
1. Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
I will show you seven clues and one
solution that embraces them all.
1. Information
2. Causality Loops
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
I will show you seven clues and one
solution that embraces them all.
1. Information
2. Causality Loops
3. Non-determinism
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
I will show you seven clues and one
solution that embraces them all.
1. Information
2. Causality Loops
3. Non-determinism
4. Consciousness
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
I will show you seven clues and one
solution that embraces them all.
1. Information
2. Causality Loops
3. Non-determinism
4. Consciousness
5. Pixelation
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
I will show you seven clues and one
solution that embraces them all.
1. Information
2. Causality Loops
3. Non-determinism
4. Consciousness
5. Pixelation
6. E8 Crystal
I will show you seven clues and one
solution that embraces them all.
1. Information
2. Causality Loops
3. Non-determinism
4. Consciousness
5. Pixelation
6. E8 Crystal
7. Golden Ratio
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Nature’s Clue 1:
Information
Nature’s Clue 1:
Information
First, let us think about physical
and mathematical ontology – the
study of what is real and what is
not.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Information
First, let us think about physical
and mathematical ontology – the
study of what is real and what is
not.
Are spacetime and energy made of
some unknown substance created
by the big bang or by god?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Information
Or are they pure information?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Information
If they are information, what is the
form of the symbolism?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Information
If they are information, what is the
form of the symbolism?
After all, information is meaning in
the form of symbolism.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Information
And how can symbolism and
information exist without some
notion of consciousness to
actualize them into existence?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Information
Nobel laureate and Herman
Fashback Professor of Physics at
MIT, Frank Wiczek, said:
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Information
Nobel laureate and Herman
Fashback Professor of Physics at
MIT, Frank Wiczek, said:
“The relevant literature [on the
meaning of quantum theory] is
famously contentious and
obscure…
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Information
“…it will remain so until someone
constructs, within the formalism of
quantum mechanics, an observer,
that is, a model entity whose states
correspond to a recognizable
caricature of conscious awareness.”
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Information
Wilczek is speaking of the need to
discover a new quantum
mechanical formalism with a
mathematical operator or entity
capable of generating information
via measurement.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Information
His motivation is on solid ground.
Quantum mechanics boldly
indicates the ontology of physical
reality must be based on
observation, where all that exists is
that which is measured.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Information
It is too radical to suggest physical
reality needs humans to measure it
in order to be real.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Max Tegmark of MIT believes
reality is made mathematical
symbolism.
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
His mathematical universe
hypothesis states:
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
His mathematical universe
hypothesis states:
“Our external physical reality is a
mathematical structure…
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
His mathematical universe
hypothesis states:
“Our external physical reality is a
mathematical structure…
… that is, the physical universe is
mathematics…
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
…In those worlds complex enough
to contain self-aware substructures,
they will perceive themselves as
existing in a physically real world.”
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Thousands of physicists agree
with Tegmark.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Thousands of physicists agree
with Tegmark.
But what does he mean by
“physically real world”?
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
He is pointing to the idea of an
illusion, like in a virtual reality
game, where the underlying
information only appears to be our
geometric spatial reality.
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
However, mathematics is
symbolic language dealing with
the meaning of numbers.
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
And the fundamental
information or meaning of
physical reality is geometry and
ratio.
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
So if reality were made of 3D
numerical symbolism encoding
both geometry as well as set and
number theoretic meaning,
would that form of symbolism be
non-illusionary and “real”?
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
We suggest “shape-numbers”
called simplex-integers.
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Information is meaning in the
form of symbolic language.
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
For example, the subjective
symbols “d-o-g” can represent the
meaning of this animal here.
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
For example, the subjective
symbols “d-o-g” can represent the
meaning of this animal here.
Information
Non-subjective geometric symbols
represent themselves:
=
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Reality is geometric.
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Reality is geometric.
And both classic and quantum theory
indicate reality is made of information.
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Reality is geometric.
And both classic and quantum theory
indicate reality is made of information.
Geometric symbolism may explain how
a geometric reality can be made of
information.
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Perhaps a mosaic-like language of 3D
geometric symbols could express the
meaning of a geometric reality like
ours.
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Perhaps a mosaic-like language of 3D
geometric symbols could express the
meaning of a geometric reality like
ours.
Quasicrystalline codes are exactly such
languages. And they are inherently
non-local and described by non-
commutative geometry.
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
In a pending paper, we introduce the
notion of simplex-integers and show
how simplexes are the most powerful
numeric symbol expressing the
counting function and set theoretic
substructure of an integer.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
We introduce a purely geometric
primality test for simplex integers,
which extends also to the An lattice
series:
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
We introduce a purely geometric
primality test for simplex integers,
which extends also to the An lattice
series:
A simplex-integer is prime if and only if
its 0-simplexes divide evenly into each
sum of its sub-simplexes.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Take, for example, the idea of the 99-
simplex and its lattice analogue, A99.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Take, for example, the idea of the 99-
simplex and its lattice analogue, A99.
Embedded within these geometric
structures are the distribution of 25
prime-simplexes and 25 prime moduli
sub-spaces of the moduli space of the
A99 lattice.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Does anyone doubt there is a purely
geometric reason for the distribution of
the 25 prime simplexes within the 99-
simplex?
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Would that geometric explanation
allow one to predict the 25 prime
simplexes without using a prime sieving
algorithm or other by-hand method?
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Prime simplexes have a certain
divisional symmetry in their geometry,
for lack of a better term.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Prime simplexes have a certain
divisional symmetry in their geometry,
for lack of a better term.
For example, the 5 vertices of the
simplex-integer associated with the
prime number 5 divides evenly into its
ten 1-simplexes, ten 2-simplexes and
five 3-simplexes.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Are there topological or symmetry
based or volumetric aspects of prime-
simplexes that stand out as a signature
in simplex-integer symbols that are not
apparent in digital number theory?
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
If there were a geometric approach
that could predict the 25 prime
simplexes within a 99-simplex or its
lattice, the Riemann hypothesis would
be solved.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
For example, the prime number
theorem incorrectly predicts 21.7
primes within the same bound of
numbers.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
For example, the prime number
theorem incorrectly predicts 21.7
primes within the same bound of
numbers.
And it is precisely this error value of 25
-21.7 = 3.3 (or the error in any bound)
that correlates to the non-trivial zeta
zeros.
Information
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Of course, discovering an exact way to
predict the number of prime-simplexes
within any bound predicts the same
number of primes within a bound of
digital numbers.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
With simplex-integer number theory,
there is less motivation to focus on
probability theory.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
With simplex-integer number theory,
there is less motivation to focus on
probability theory.
Perhaps the 157 years of stubbornness
of this problem is due to the fact that
nearly all number theorists focus on
digital numbers, where geometric and
set theoretic information is washed
out.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
An interesting difference between
simplex-integer number theory and
digital number theory is algebraic
versus transcendental numbers.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
An interesting difference between
simplex-integer number theory and
digital number theory is algebraic
versus transcendental numbers.
Specifically, to force the additive series
of digital numbers to converge, we
must invert them in the zeta function
and place a power on the denominator.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
When s = 2, we get the integers to
converge relative to the transcendental
expression:
1/(12) + 1/(22) + 1/(32)… = π2/6
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
When s = 2, we get the integers to
converge relative to the transcendental
expression:
1/(12) + 1/(22) + 1/(32)… = π2/6
By contrast, the circumradii of the
simplex-integer additive series
converges without the zeta function to
the algebraic expression 1/√2.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Similarly, the transcendental natural
logarithm in the prime number theorem
generates the erroneous prediction of
21.7 primes in the bound 1-100.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Similarly, the transcendental natural
logarithm in the prime number theorem
generates the erroneous prediction of
21.7 primes in the bound 1-100.
By contrast, the analogous expression
predicting the number of prime-
simplexes within some bound should
involve an algebraic irrational.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
The philosophy of discreteness versus
smoothness that is currently debated
among quantum gravity theorists is
related to the fundamental differences
between “smooth” transcendental
numbers like π and e versus
algebraically “crisp” numbers like the
golden ratio or √2.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
From cosmic to micro scales, nature
exhibits fractality.
25 iterations
Center zoom
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
From cosmic to micro scales, nature
exhibits fractality.
Our quantum gravity framework is built
upon a network of Fibonacci chains.
25 iterations
Center zoom
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
We discovered a fractal pattern in the
discrete Fourier transform of Fibonacci
chain intervals.
25 iterations
Center zoom
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
We discovered a fractal pattern in the
discrete Fourier transform of Fibonacci
chain intervals.
The box-counting dimension is about
2/3.
25 iterations
Center zoom
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Similarly, we discovered a fractal
pattern in the Fourier transform of
the logarithm of primes.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Similarly, we discovered a fractal
pattern in the Fourier transform of
the logarithm of primes.
Its fractal dimension is about .56
[box counting].
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Freeman Dyson says the distribution
of primes corresponds to a 1D
quasicrystal, where that term is
defined as an aperiodic pure point
spectrum.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Every such quasicrystal corresponds
to an irrational cut and projection
through a higher dimensional
crystal.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
And the most fundamental higher
dimensional crystals correspond to
the An lattice series because they
correspond to the simplest possible
cells, the n-simplexes.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
A projection of an irrational slice
through any A-lattice to 1D,
encodes in that quasicrystal the
distribution of prime-A-lattices
within that bound.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Of course, Wigner’s universality
pattern is evident in the distribution
of non-trivial zeta zeros. And
indeed, it is a 1D quasicrystal.
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Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Nature’s Clue 2:
Causality Loops
Nature’s Clue 2:
Causality Loops
Causality Loops
Einstein showed how the future
and past exist simultaneously in one
geometric object.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Causality Loops
In 2014, scientists in Israel
demonstrated that particles can be
entangled over time and not just
space.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Causality Loops
Daryl Bem of Cornell published
rigorous evidence that retro-
causality exists, where future
events loop back in time to co-
create past events.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Causality Loops
Obviously, the past co-creates the
future.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Causality Loops
Obviously, the past co-creates the
future.
But what happens when the future
also co-creates the past?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Causality Loops
Obviously, the past creates the
future.
But what happens when the future
also creates the past?
An evolving co-creation feedback
loop results.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Causality Loops
Like the feedback between two
mirrors.
Causality Loops
Or the mathematical feedback loop
of a fractal.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Causality Loops
If every moment is co-creating
every other moment both forward
and backward in time…
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Causality Loops
If every moment is co-creating
every other moment both forward
and backward in time…
…reality is technically a neural
network of information spanning
space and time.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Causality Loops
This type of network would possess
a strange quality…
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Causality Loops
This type of network would possess
a strange quality…
…it would be self-actualized – its
own creator.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Nature’s Clue 3:
Non-determinism
Nature’s Clue 3:
Non-determinism
Non-determinism
Prior to the 1920s, it was popular to
believe in the clock-work universe
idea that reality is a deterministic
program playing itself out.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Non-determinism
Prior to the 1920s, it was popular to
believe in the clock-work universe
idea that reality is a deterministic
program playing itself out.
In that view, this fish didn’t choose
to jump. It was just following a
deterministic algorithm.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Non-determinism
The famous double-slit experiment
ruled out determinism, ushering in
the new paradigm of quantum
indeterminism.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Non-determinism
But even without the double slit
experiment, the existence of
freewill rules out the clock-work
universe hypothesis.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
John Wheeler, who coined the term
black hole, said reality is made of
information created by observation
– by consciousness.
Nature’s Clue 4:
Consciousness
Nature’s Clue 4:
Consciousness
Consciousness
Bell’s theorem essentially states:
All that exists is that which is
measured.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Consciousness
John Wheeler, who coined the term
black hole, said reality is made of
information created by observation
– by consciousness.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Consciousness
It certainly exists in the universe -
at least in us.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Consciousness
It certainly exists in the universe -
at least in us.
And it relates deeply to quantum
mechanics in ways not yet fully
understood.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Consciousness
The definition of information
involves the perception of
meaning, and meaning is a
subjective, freewill choice – an act
of consciousness.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Consciousness
So when one realizes that energy is
pure information, it becomes clear
that reality itself deeply ties into
consciousness in some way...
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Consciousness
So when one realizes that energy is
pure information, it becomes clear
that reality itself deeply ties into
consciousness in some way...
…as though the information based
foundation of reality somehow lives
in a substrate of self-organized
emergent consciousness.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Consciousness
Did consciousness and information
emerge in a causality feedback
loop?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Nature’s Clue 5:
Pixelation
Nature’s Clue 5:
Pixelation
Pixelation
Werner Heisenberg deduced space
and time are pixelated into
indivisible Planck units, like a
mosaic.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Pixelation
The mathematics indicated this …
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Pixelation
The mathematics indicated this …
…and there was no solid experimental
evidence for smooth space or time.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Pixelation
However, this new idea was too
radical for most scientists of the day
except for Niels Bohr, who agreed
with Heisenberg.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Pixelation
Today, most scientists agree that a
length can be no shorter than the
Planck length – which suggest
reality is pixelated.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Pixelation
What type of binary geometric code
would describe a pixelated mosaic-
like reality?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Nature’s Clue 6:
E8 Crystal
Nature’s Clue 6:
E8 Crystal
E8 Crystal
The largest and most expensive
object humans have ever built is
the Large Hadron Collider in
Geneva, Switzerland.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
E8 Crystal
What is it?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
E8 Crystal
What is it?
A microscope.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
E8 Crystal
What is it?
A microscope.
It peers down into the subatomic
realm by colliding particles together
and giving us data on how they
break apart.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
E8 Crystal
So what have we learned from 80
years of smashing particles
together?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
E8 Crystal
We learned that all fundamental
particles and forces, including
gravity, convert into one another
according to the geometry of an 8-
dimensional Archimedean solid.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
E8 Crystal
It forms a crystal structure in eight
dimensions called the E8 lattice.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
E8 Crystal
It can be built entirely from 3D
simplexes-integers, regular
tetrahedra…
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
E8 Crystal
It can be built entirely from 3D
simplexes-integers, regular
tetrahedra…
…rotated from one another into
different 3D subspaces of R8 by a
golden ratio based angle.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Nature’s Clue 7:
Golden Ratio
Nature’s Clue 7:
Golden Ratio
Golden Ratio
The golden ratio may be the
fundamental constant of nature.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
Along with its rational form, the
Fibonacci sequence, it is ubiquitous
in the universe, from quantum to
celestial scales.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
Along with its rational form, the
Fibonacci sequence, it is ubiquitous
in the universe, from quantum to
celestial scales.
Let’s explore a few examples
starting with black holes.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
Pay attention to the fact that these
golden ratio equations are tying
together (1) digital information
theory, (2) thermodynamics, (3)
general relativity and (4) quantum
mechanics.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
Carlo Rovelli said the heat of black
holes is the Rosetta Stone of
physics, written in a combination of
three languages – quantum
gravitational and thermodynamic –
and still awaiting our decipherment.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
The golden ratio is the precise
point where a black hole’s
modified specific heat changes
from positive to negative.
𝑀4
𝐽2
= ϕ
The golden ratio is the precise
point where a black hole’s
modified specific heat changes
from positive to negative.
And it is part of the equation for the
lower bound on black hole entropy.
𝑀4
𝐽2
= ϕ
𝑒
8𝜋𝑆𝑙 𝑃
2
𝑘𝐴 ≥ ϕ
The golden ratio is the precise
point where a black hole’s
modified specific heat changes
from positive to negative.
And it is part of the equation for the
lower bound on black hole entropy.
The golden ratio even relates the
loop quantum gravity parameter
to black hole entropy.
2 𝜋𝛾
= ϕ
𝑀4
𝐽2
= ϕ
𝑒
8𝜋𝑆𝑙 𝑃
2
𝑘𝐴 ≥ ϕ
Golden Ratio
Why does this support the claim
that it is the fundamental constant
of nature?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
𝑀4
𝐽2
= ϕ
𝑒
8𝜋𝑆𝑙 𝑃
2
𝑘𝐴 ≥ ϕ
2 𝜋𝛾
= ϕ
Golden Ratio
Because a theory of everything
must unite general relativity with
quantum mechanics.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
𝑀4
𝐽2
= ϕ
𝑒
8𝜋𝑆𝑙 𝑃
2
𝑘𝐴 ≥ ϕ
2 𝜋𝛾
= ϕ
Golden Ratio
And a black hole is where these two
theories converge.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
𝑀4
𝐽2
= ϕ
𝑒
8𝜋𝑆𝑙 𝑃
2
𝑘𝐴 ≥ ϕ
2 𝜋𝛾
= ϕ
Golden Ratio
Black hole theory also tells us
reality is made of binary
information.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
𝑀4
𝐽2
= ϕ
𝑒
8𝜋𝑆𝑙 𝑃
2
𝑘𝐴 ≥ ϕ
2 𝜋𝛾
= ϕ
Golden Ratio
The idea is known as the
holographic principle…
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
𝑀4
𝐽2
= ϕ
𝑒
8𝜋𝑆𝑙 𝑃
2
𝑘𝐴 ≥ ϕ
2 𝜋𝛾
= ϕ
Golden Ratio
The idea is known as the
holographic principle…
….and it comes from a
mathematical proof called the
Maldacena conjecture.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
𝑀4
𝐽2
= ϕ
𝑒
8𝜋𝑆𝑙 𝑃
2
𝑘𝐴 ≥ ϕ
2 𝜋𝛾
= ϕ
Golden Ratio
It states that the total amount of
binary information from all the
mass and energy pulled into a black
hole is proportional to its surface
area…
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
It states that the total amount of
binary information from all the
mass and energy pulled into a black
hole is proportional to its surface
area…
…where every four Planck areas of
its surface encode the state of a
fundamental particle that fell into
it.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
This is interesting because the 4-
term 2x2 binary matrix is the most
fundamental of all matrices.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
1 1
1 0
Golden Ratio
7/8ths of the 16 eigenvalues are trivial
as 0, 1 or 2.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
1 1
1 0
Golden Ratio
1/8th are non-trivial golden ratio
values as:
and 𝜆− = −
1
ϕ
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
1/8th are non-trivial golden ratio
values as:
ϕ and −
1
ϕ
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
In fact, these are the most probable
non-trivial or root values for any size
random binary matrix.
ϕ and −
1
ϕ
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
Both black holes and quantum
mechanics deeply relate to the golden
ratio, binary information and the
number 4…
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
Both black holes and quantum
mechanics deeply relate to the golden
ratio, binary information and the
number 4…
…the number of vertices of a
tetrahedron.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
In our quantum gravity program, 3-
simplices act as “3D bits” that are
registered as being “on” or “off” and form
E8 related golden ratio orientations
relative to adjacent 3-simplices.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
The gravitational constant, G, ties
time and length based values
together as: G = χc2/4π
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
𝑀4
𝐽2
= ϕ
𝑒
8𝜋𝑆𝑙 𝑃
2
𝑘𝐴 ≥ ϕ
2 𝜋𝛾
= ϕ
Golden Ratio
The gravitational constant, G, ties
time and length based values
together as: G = χc2/4π
ϕ = 99.9997% of = hχ as:
0.6180382(10-53) m3/sec.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
𝑀4
𝐽2
= ϕ
𝑒
8𝜋𝑆𝑙 𝑃
2
𝑘𝐴 ≥ ϕ
2 𝜋𝛾
= ϕ
Golden Ratio
The gravitational constant, G, ties
time and length based values
together as: G = χc2/4π
ϕ = 99.9997% of = hχ as:
0.6180382(10-53) m3/sec.
This deviation at the millionth place
after the decimal is remarkable.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
𝑀4
𝐽2
= ϕ
𝑒
8𝜋𝑆𝑙 𝑃
2
𝑘𝐴 ≥ ϕ
2 𝜋𝛾
= ϕ
?
Golden Ratio
The gravitational constant, G, ties
time and length based values
together as: G = χc2/4π
ϕ = 99.9997% of = hχ as:
0.6180382(10-53) m3/sec.
This deviation at the millionth place
after the decimal is remarkable.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
But how can this be true if the
meter and second are man-
made metrics?
Golden Ratio
Well, it turns out they’re not so
man-made…
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
Well, it turns out they’re not so
man-made… thanks to the French.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
The metric unit is simply the
distance from the Equator to a pole,
the minimally distorted ¼
circumference of Earth.
Golden Ratio
And the dimensionless ratio of the
Earth to Moon pole through pole
diameters is .
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
𝜑 − 1
Golden Ratio
And the dimensionless ratio of the
Earth to Moon pole through pole
diameters is .
If this ratio is used as a physical
basis for a metric…
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
𝜑 − 1
Golden Ratio
And the dimensionless ratio of the
Earth to Moon pole through pole
diameters is .
If this ratio is used as a physical
basis for a metric…
…the ratio of these values to ¼ of
Earth’s diameter is 99.9% of 1.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
𝜑 − 1
Golden Ratio
So the French had good intuition
about this even though they did not
know about the golden ratio
relationship.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
Our quantum gravity model uses
two fundamental lengths at the
Planck scale, the Dirichlet integers:
1 and 1/ϕ.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
These Fibonacci chains form a
network in 3D exactly equal to our
E8 derived quasicrystal made of 3-
simplexes.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
These Fibonacci chains form a
network in 3D exactly equal to our
E8 derived quasicrystal made of 3-
simplexes.
It is based on the icosahedral
rotational symmetries:
2-fold, 3-fold and 5-fold.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
It is also made of the square roots
of 2, 3 and 5 because it is based on
3-simplexes related by golden ratio
spacing and rotation.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
2, 3 and 5 are sequential Fibonacci
numbers.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
The unit of time called the second is
not man-made. It’s based on the
orbital time periods of the Earth
Moon system, which are based on
Fibonacci numbers.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
The number of full Moons in a year is
based on the Pythagorean triple
triangle of two Fibonacci numbers, 5
and 13, and on 12 = (22)(3) = (F3
2)(F4).
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
Dividing the 5 side into the next two
smaller Fibonacci numbers, 2 and 3,
generates a line of length: 12.369.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
Dividing the 5 side into the next two
smaller Fibonacci numbers, 2 and 3,
generates a line of length: 12.369.
This is the number of full Moons in
a year to an accuracy of about
99.999%.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
There are many other Fibonacci
based time and space values in
astrophysics.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
There are many other Fibonacci
based time and space values in
astrophysics.
But for now, let us note that the
significant digits of the number of
seconds in a day is 864 = the 2, 3 and
5 related factorization to Fibonacci
powers as (F3
5)(F4
3) = 25 33.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
In other words, we have an Earth-
Moon “clock” with two spherical
“gears” that have a size ratio of
with a ratio to ¼ of the Earth
circumference of about 1, which we
use as the unit value for our
scientific metric system.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
𝜑 − 1
Golden Ratio
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Consider that the rotation cycles of
these two golden ratio based spherical
gears might accordingly be based on
their dimensionless ratios.
Golden Ratio
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Consider that the rotation cycles of
these two golden ratio based spherical
gears might accordingly be based on
their dimensionless ratios.
The Earth day itself is a geometric
system based on the rotation of Earth’s
mass, as acted upon by a golden ratio
relationship with the Moon’s mass.
Golden Ratio
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Then we get our fundamental time
unit, the second, from this golden
ratio Earth-Moon clock by taking the
average Earth day divided by one of
the most rudimentary Fibonacci
power products (F3
5)(F4
3).
Golden Ratio
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
And using these non-manmade
approximations based on
dimensionless values as our metric
for length and time, we find that c =
299,792,458 m/s = 99.9% of 3, which
is the first odd prime and the
Fibonacci number F4 .
Golden Ratio
In other words, the 25 33. based
division of the golden ratio based
Earth Moon “clock” may be no
more man-made than the golden
ratio related metric system based.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
ϕ = 99.9997% of = hχ is interesting in
light of our geometric first principles
approach to fundamental physics on
the quasicrystalline spin network.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
ϕ = 99.9997% of = hχ is interesting in
light of our geometric first principles
approach to fundamental physics on
the quasicrystalline spin network.
Our object starts at the Planck length
and scales as the golden ratio power
series.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
All of physics can be built up from
any two of the dimensional
constants c, h and G.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
All of physics can be built up from
any two of the dimensional
constants c, h and G.
And the most important
dimensionless value is the fine
structure constant α.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
All of physics can be built up from
any two of the dimensional
constants c, h and G.
And the most important
dimensionless value is the fine
structure constant α.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
The relationships of c, h and G are
expressed as lP =
ℎ𝐺
𝑐3 , the Planck
length spatial “pixel” of reality.
Golden Ratio
All of physics can be built up from
any two of the dimensional
constants c, h and G.
And the most important
dimensionless value is the fine
structure constant α.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
The relationships of c, h and G are
expressed as lP =
ℎ𝐺
𝑐3 , the Planck
length spatial “pixel” of reality.
And lP = 99.9% of ϕ if the metric
system is used.
Golden Ratio
All of physics can be built up from
any two of the dimensional
constants c, h and G.
And the most important
dimensionless value is the fine
structure constant α.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
α-1 = 99.7% of
360
Φ2
Golden Ratio
I’ve presented golden ratio
approximations with deviations
as high as the millionth place
after the decimal. Because
different experiments give
different values, the constants
are only known to the 4th place
after the decimal.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Method
Value of h
(10−34 J⋅s)
Watt balance 6.62606889(23)
X-ray crystal density 6.6260745(19)
Josephson constant 6.6260678(27)
Magnetic resonance 6.6260724(57)
Faraday constant 6.6260657(88)
CODATA 2010
recommended value
6.62606957(29)
The nine recent determinations of the Planck constant cover five separate methods.
Where there is more than one recent determination for a given method, the value
of h given here is a weighted mean of the results, as calculated by CODATA.
Golden Ratio
If the quasicrystalline spin
network approach to quantum
gravity is correct, why is the
Planck length only about 99.9%
of the golden ratio?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Method
Value of h
(10−34 J⋅s)
Watt balance 6.62606889(23)
X-ray crystal density 6.6260745(19)
Josephson constant 6.6260678(27)
Magnetic resonance 6.6260724(57)
Faraday constant 6.6260657(88)
CODATA 2010
recommended value
6.62606957(29)
The nine recent determinations of the Planck constant cover five separate methods.
Where there is more than one recent determination for a given method, the value
of h given here is a weighted mean of the results, as calculated by CODATA.
Golden Ratio
To answer that, one should
understand that our quantum gravity
framework will predict that systems
like the Earth-Moon clock settle into
spatial and time based patterns that
approximate the golden ratio
substructure of spacetime because
these will be energetically favorable.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Method
Value of h
(10−34 J⋅s)
Watt balance 6.62606889(23)
X-ray crystal density 6.6260745(19)
Josephson constant 6.6260678(27)
Magnetic resonance 6.6260724(57)
Faraday constant 6.6260657(88)
CODATA 2010
recommended value
6.62606957(29)
The nine recent determinations of the Planck constant cover five separate methods.
Where there is more than one recent determination for a given method, the value
of h given here is a weighted mean of the results, as calculated by CODATA.
Golden Ratio
In other words, physical systems
seek to find the best Fibonacci ratio
approximation of the golden ratio,
due to finiteness. For example, the
two double helices of DNA are offset
by a Fibonacci ratio of 13:21
angstroms = 99.8% of ϕ.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Method
Value of h
(10−34 J⋅s)
Watt balance 6.62606889(23)
X-ray crystal density 6.6260745(19)
Josephson constant 6.6260678(27)
Magnetic resonance 6.6260724(57)
Faraday constant 6.6260657(88)
CODATA 2010
recommended value
6.62606957(29)
The nine recent determinations of the Planck constant cover five separate methods.
Where there is more than one recent determination for a given method, the value
of h given here is a weighted mean of the results, as calculated by CODATA.
Golden Ratio
If we “normalize” the Earth-Moon
ratio to be exactly our golden ratio
values instead of just 99.9%, we get
a slightly adjusted metric unit as
0.9990419 of the current value.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Method
Value of h
(10−34 J⋅s)
Watt balance 6.62606889(23)
X-ray crystal density 6.6260745(19)
Josephson constant 6.6260678(27)
Magnetic resonance 6.6260724(57)
Faraday constant 6.6260657(88)
CODATA 2010
recommended value
6.62606957(29)
The nine recent determinations of the Planck constant cover five separate methods.
Where there is more than one recent determination for a given method, the value
of h given here is a weighted mean of the results, as calculated by CODATA.
Golden Ratio
This shorter metric unit then moves the
approximation of the Planck length
from the current value of 99.9% of Φ to
about 99.99% and it moves the value of
c to about 99.99% of 3. Again, the
measured values for h and G are only
known to about the 4th place after the
decimal, the same range of accuracy
we are speaking of here.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Method
Value of h
(10−34 J⋅s)
Watt balance 6.62606889(23)
X-ray crystal density 6.6260745(19)
Josephson constant 6.6260678(27)
Magnetic resonance 6.6260724(57)
Faraday constant 6.6260657(88)
CODATA 2010
recommended value
6.62606957(29)
The nine recent determinations of the Planck constant cover five separate methods.
Where there is more than one recent determination for a given method, the value
of h given here is a weighted mean of the results, as calculated by CODATA.
Golden Ratio
75% of the universe is made of
hydrogen.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
75% of the universe is made of
hydrogen.
And the basis of all atomic theory
can be derived from its values.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
Based on work done by C. H.
Suresh and N. Koga in 2001, Raji
Heyrovska showed the atomic
radius of Hydrogen in methane to
be the Bohr radius over the golden
ratio.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
rH =
a0
𝜙
Golden Ratio
In 1993, Lucien Hardy, of the
Perimeter Institute for Theoretical
Physics, discovered that the
probability of entanglement for two
particles projected in tandem is:
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
ϕ
_5
Golden Ratio
The results were experimentally
confirmed three times in peer
reviewed papers during the period
1993 to 2009.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
ϕ
_5
Golden Ratio
In 2010, a multinational team of
scientists found an E8 based
golden ratio signature in solid
state matter.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
Cobalt niobate was put into a
quantum-critical state and tuned
to an optimal level by adjusting
the magnetic fields around it.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
Cobalt niobate was put into a
quantum-critical state and tuned
to an optimal level by adjusting
the magnetic fields around it.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Golden Ratio
The optimal level occurred when
the resonance to pitch was in a
golden ratio based value specifically
related to the geometry of E8.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the PuzzleKey to the Puzzle
Key to the Puzzle
Nature has given us 7 clues about
a theory of everything. So what is
the key to this puzzle?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Our research program is focused on
projecting the E8 crystal to 3D and
4D, which creates a golden ratio
based binary code of pixelated
space and causality loops requiring
emergent consciousness.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
The cell shape of E8 that best
represents it is the Gosset polytope
with 240 vertices.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
When we project this to 4D, it
becomes two identical shapes of
different sizes like these here.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
The ratio of their sizes is:
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
The ratio of their sizes is:
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
ϕ
And each is made of 600 regular
3D tetrahedra rotated from one
another by a golden ratio based
angle.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
ϕ
The 600-cells intersect in seven
golden ratio based ways and kiss in
one particular way to form a 4D
aperiodic mosaic tiling called a
quasicrystal.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
ϕ
A quasicrystal is a code or
language.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
ϕ
This is because the ways you can
arrange the building block
geometric symbols or shapes are
governed by rules (like a language).
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
ϕ
But within the rules, you must
make choices that are not forced
by those rules.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
ϕ
So because it is not a deterministic
or forced set of building
instructions, there is freedom to
create many patterns while still
obeying the rules of the code.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
ϕ
It is a language in every sense of
the word…
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
ϕ
It is a language in every sense of
the word…
…specifically it is a language of
waves or vibrations.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
ϕ
The 4D quasicrystal is represented
in 3D with regular tetrahedra
related by golden ratio based
rotations and looks like this.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
The language is binary, where
tetrahedra form an invisible
possibility space and are chosen to
be “on” or “off” in each frame,
according to the language rules.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
Over many quasicrystal frames,
dynamic wave and particle-like
patterns emerge.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
Remember, evidence prevents us
from believing in the deterministic
Newtonian clock-work universe.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
And codes cannot be operated by
randomness or they breakdown
and cease to generate meaning.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
So if reality is based on something
like our E8 physics, WHO or WHAT
is choosing the steps in the code
that require freewill?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
It is certainly not us because this is
a code that operates down at the
Planck scale.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
And again, randomness does not
generate meaning in languages.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
Plus, there is no first principles
explanation for randomness or
even experimental evidence for it.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
Can a consciousness that emerges
from the code be the origin of the
code in the first place – making it a
logically consistent causality loop?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
A universal collective
consciousness could be the answer.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
A universal collective
consciousness could be the answer.
But that sounds New Age and
religious.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
And besides, how could such a thing
emerge from a universe made of
information?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
And how would the information
emerge in the first place?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
Clearly, evolutionary emergence by
self-organization is how the
universe works…
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
Clearly, evolutionary emergence by
self-organization is how the
universe works…
…where small and simple things
self-organize into larger emergent
things.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
Our consciousness is an extreme
example of emergence via self-
organization.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
The mathematical power of a
neural-network like universe based
on our quasicrystalline spin
network is in its massive non-local
connectivity – both forward and
backward in time.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
Networks harness the mathematical
power of exponential connectivity
and growth.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
As an example, let’s fold this piece
of paper four times.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
As an example, let’s fold this piece
of paper four times.
It’s still just a few millimeters thick.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
How thick will it be if I folded it
another 99 times for a total of 103
folds?
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
How thick will it be if I folded it
another 99 times for a total of 103
folds?
It would be twice as big as…
The Universe
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
There are no laws in physics that
place an upper limit on what
percentage of the universe can
exponentially self-organize into
freewill systems like us humans.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
Physics allows the possibility that
all the energy of the universe can
be converted into a single
conscious system that is itself a
network of conscious systems.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
Given enough time, what can
happen will eventually happen.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
Given enough time, what can
happen will eventually happen.
By this axiom, universal emergent
consciousness has emerged via self-
organization somewhere ahead of
us in 4D space-time.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
Given enough time, what can
happen will eventually happen.
By this axiom, universal emergent
consciousness has emerged via self-
organization somewhere ahead of
us in 4D space-time.
And because it is possible, it is
inevitable.
Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
Key to the Puzzle
In fact, according to the evidence
of retro-causality time loops, that
inevitable future is co-creating us
right now just as we are co-
creating it.
In summary, our geometric reality
may be a lower dimensional code
of shape-numbers called simplex-
integers derived from a hyper-
dimensional lattice via projective
geometry.
Klee@QuantumGravityResearch.org
www.QuantumGravityResearch.org

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Toward the unification of physics by Klee irwin

  • 1. Toward the Unification of Physics and Number Theory Klee Irwin
  • 2. At Quantum Gravity Research in Los Angeles, we are developing a fundamental physics unification model called emergence theory.
  • 3. If we are successful, it will be the only microscopic first-principles theory of everything, providing analytical expressions for values such as the Planck constant – a first-principles theory of everything.
  • 4. What clues does nature offer for what a first-principles theory of everything should look like?
  • 5. I will show you seven clues and one solution that embraces them all. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 6. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio I will show you seven clues and one solution that embraces them all. 1. Information
  • 7. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio I will show you seven clues and one solution that embraces them all. 1. Information 2. Causality Loops
  • 8. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio I will show you seven clues and one solution that embraces them all. 1. Information 2. Causality Loops 3. Non-determinism
  • 9. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio I will show you seven clues and one solution that embraces them all. 1. Information 2. Causality Loops 3. Non-determinism 4. Consciousness
  • 10. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio I will show you seven clues and one solution that embraces them all. 1. Information 2. Causality Loops 3. Non-determinism 4. Consciousness 5. Pixelation
  • 11. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio I will show you seven clues and one solution that embraces them all. 1. Information 2. Causality Loops 3. Non-determinism 4. Consciousness 5. Pixelation 6. E8 Crystal
  • 12. I will show you seven clues and one solution that embraces them all. 1. Information 2. Causality Loops 3. Non-determinism 4. Consciousness 5. Pixelation 6. E8 Crystal 7. Golden Ratio Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 14. First, let us think about physical and mathematical ontology – the study of what is real and what is not. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Information
  • 15. First, let us think about physical and mathematical ontology – the study of what is real and what is not. Are spacetime and energy made of some unknown substance created by the big bang or by god? Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Information
  • 16. Or are they pure information? Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Information
  • 17. If they are information, what is the form of the symbolism? Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Information
  • 18. If they are information, what is the form of the symbolism? After all, information is meaning in the form of symbolism. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Information
  • 19. And how can symbolism and information exist without some notion of consciousness to actualize them into existence? Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Information
  • 20. Nobel laureate and Herman Fashback Professor of Physics at MIT, Frank Wiczek, said: Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Information
  • 21. Nobel laureate and Herman Fashback Professor of Physics at MIT, Frank Wiczek, said: “The relevant literature [on the meaning of quantum theory] is famously contentious and obscure… Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Information
  • 22. “…it will remain so until someone constructs, within the formalism of quantum mechanics, an observer, that is, a model entity whose states correspond to a recognizable caricature of conscious awareness.” Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Information
  • 23. Wilczek is speaking of the need to discover a new quantum mechanical formalism with a mathematical operator or entity capable of generating information via measurement. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Information
  • 24. His motivation is on solid ground. Quantum mechanics boldly indicates the ontology of physical reality must be based on observation, where all that exists is that which is measured. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Information
  • 25. It is too radical to suggest physical reality needs humans to measure it in order to be real. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Information
  • 26. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Max Tegmark of MIT believes reality is made mathematical symbolism. Information
  • 27. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio His mathematical universe hypothesis states: Information
  • 28. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio His mathematical universe hypothesis states: “Our external physical reality is a mathematical structure… Information
  • 29. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio His mathematical universe hypothesis states: “Our external physical reality is a mathematical structure… … that is, the physical universe is mathematics… Information
  • 30. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio …In those worlds complex enough to contain self-aware substructures, they will perceive themselves as existing in a physically real world.” Information
  • 31. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Thousands of physicists agree with Tegmark. Information
  • 32. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Thousands of physicists agree with Tegmark. But what does he mean by “physically real world”? Information
  • 33. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio He is pointing to the idea of an illusion, like in a virtual reality game, where the underlying information only appears to be our geometric spatial reality. Information
  • 34. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio However, mathematics is symbolic language dealing with the meaning of numbers. Information
  • 35. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio And the fundamental information or meaning of physical reality is geometry and ratio. Information
  • 36. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio So if reality were made of 3D numerical symbolism encoding both geometry as well as set and number theoretic meaning, would that form of symbolism be non-illusionary and “real”? Information
  • 37. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio We suggest “shape-numbers” called simplex-integers. Information
  • 38. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Information is meaning in the form of symbolic language. Information
  • 39. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio For example, the subjective symbols “d-o-g” can represent the meaning of this animal here. Information
  • 40. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio For example, the subjective symbols “d-o-g” can represent the meaning of this animal here. Information Non-subjective geometric symbols represent themselves: =
  • 41. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Reality is geometric. Information
  • 42. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Reality is geometric. And both classic and quantum theory indicate reality is made of information. Information
  • 43. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Reality is geometric. And both classic and quantum theory indicate reality is made of information. Geometric symbolism may explain how a geometric reality can be made of information. Information
  • 44. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Perhaps a mosaic-like language of 3D geometric symbols could express the meaning of a geometric reality like ours. Information
  • 45. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Perhaps a mosaic-like language of 3D geometric symbols could express the meaning of a geometric reality like ours. Quasicrystalline codes are exactly such languages. And they are inherently non-local and described by non- commutative geometry. Information
  • 46. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio In a pending paper, we introduce the notion of simplex-integers and show how simplexes are the most powerful numeric symbol expressing the counting function and set theoretic substructure of an integer. Information
  • 47. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio We introduce a purely geometric primality test for simplex integers, which extends also to the An lattice series: Information
  • 48. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio We introduce a purely geometric primality test for simplex integers, which extends also to the An lattice series: A simplex-integer is prime if and only if its 0-simplexes divide evenly into each sum of its sub-simplexes. Information
  • 49. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Take, for example, the idea of the 99- simplex and its lattice analogue, A99. Information
  • 50. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Take, for example, the idea of the 99- simplex and its lattice analogue, A99. Embedded within these geometric structures are the distribution of 25 prime-simplexes and 25 prime moduli sub-spaces of the moduli space of the A99 lattice. Information
  • 51. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Does anyone doubt there is a purely geometric reason for the distribution of the 25 prime simplexes within the 99- simplex? Information
  • 52. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Would that geometric explanation allow one to predict the 25 prime simplexes without using a prime sieving algorithm or other by-hand method? Information
  • 53. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Prime simplexes have a certain divisional symmetry in their geometry, for lack of a better term. Information
  • 54. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Prime simplexes have a certain divisional symmetry in their geometry, for lack of a better term. For example, the 5 vertices of the simplex-integer associated with the prime number 5 divides evenly into its ten 1-simplexes, ten 2-simplexes and five 3-simplexes. Information
  • 55. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Are there topological or symmetry based or volumetric aspects of prime- simplexes that stand out as a signature in simplex-integer symbols that are not apparent in digital number theory? Information
  • 56. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio If there were a geometric approach that could predict the 25 prime simplexes within a 99-simplex or its lattice, the Riemann hypothesis would be solved. Information
  • 57. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio For example, the prime number theorem incorrectly predicts 21.7 primes within the same bound of numbers. Information
  • 58. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio For example, the prime number theorem incorrectly predicts 21.7 primes within the same bound of numbers. And it is precisely this error value of 25 -21.7 = 3.3 (or the error in any bound) that correlates to the non-trivial zeta zeros. Information
  • 59. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Of course, discovering an exact way to predict the number of prime-simplexes within any bound predicts the same number of primes within a bound of digital numbers. Information
  • 60. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio With simplex-integer number theory, there is less motivation to focus on probability theory. Information
  • 61. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio With simplex-integer number theory, there is less motivation to focus on probability theory. Perhaps the 157 years of stubbornness of this problem is due to the fact that nearly all number theorists focus on digital numbers, where geometric and set theoretic information is washed out. Information
  • 62. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio An interesting difference between simplex-integer number theory and digital number theory is algebraic versus transcendental numbers. Information
  • 63. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio An interesting difference between simplex-integer number theory and digital number theory is algebraic versus transcendental numbers. Specifically, to force the additive series of digital numbers to converge, we must invert them in the zeta function and place a power on the denominator. Information
  • 64. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio When s = 2, we get the integers to converge relative to the transcendental expression: 1/(12) + 1/(22) + 1/(32)… = π2/6 Information
  • 65. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio When s = 2, we get the integers to converge relative to the transcendental expression: 1/(12) + 1/(22) + 1/(32)… = π2/6 By contrast, the circumradii of the simplex-integer additive series converges without the zeta function to the algebraic expression 1/√2. Information
  • 66. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Similarly, the transcendental natural logarithm in the prime number theorem generates the erroneous prediction of 21.7 primes in the bound 1-100. Information
  • 67. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Similarly, the transcendental natural logarithm in the prime number theorem generates the erroneous prediction of 21.7 primes in the bound 1-100. By contrast, the analogous expression predicting the number of prime- simplexes within some bound should involve an algebraic irrational. Information
  • 68. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio The philosophy of discreteness versus smoothness that is currently debated among quantum gravity theorists is related to the fundamental differences between “smooth” transcendental numbers like π and e versus algebraically “crisp” numbers like the golden ratio or √2. Information
  • 69. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio From cosmic to micro scales, nature exhibits fractality. 25 iterations Center zoom Information
  • 70. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio From cosmic to micro scales, nature exhibits fractality. Our quantum gravity framework is built upon a network of Fibonacci chains. 25 iterations Center zoom Information
  • 71. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio We discovered a fractal pattern in the discrete Fourier transform of Fibonacci chain intervals. 25 iterations Center zoom Information
  • 72. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio We discovered a fractal pattern in the discrete Fourier transform of Fibonacci chain intervals. The box-counting dimension is about 2/3. 25 iterations Center zoom Information
  • 73. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Similarly, we discovered a fractal pattern in the Fourier transform of the logarithm of primes. Information
  • 74. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Similarly, we discovered a fractal pattern in the Fourier transform of the logarithm of primes. Its fractal dimension is about .56 [box counting]. Information
  • 75. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Freeman Dyson says the distribution of primes corresponds to a 1D quasicrystal, where that term is defined as an aperiodic pure point spectrum. Information
  • 76. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Every such quasicrystal corresponds to an irrational cut and projection through a higher dimensional crystal. Information
  • 77. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio And the most fundamental higher dimensional crystals correspond to the An lattice series because they correspond to the simplest possible cells, the n-simplexes. Information
  • 78. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio A projection of an irrational slice through any A-lattice to 1D, encodes in that quasicrystal the distribution of prime-A-lattices within that bound. Information
  • 79. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Of course, Wigner’s universality pattern is evident in the distribution of non-trivial zeta zeros. And indeed, it is a 1D quasicrystal. Information
  • 80. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Nature’s Clue 2: Causality Loops Nature’s Clue 2: Causality Loops
  • 81. Causality Loops Einstein showed how the future and past exist simultaneously in one geometric object. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 82. Causality Loops In 2014, scientists in Israel demonstrated that particles can be entangled over time and not just space. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 83. Causality Loops Daryl Bem of Cornell published rigorous evidence that retro- causality exists, where future events loop back in time to co- create past events. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 84. Causality Loops Obviously, the past co-creates the future. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 85. Causality Loops Obviously, the past co-creates the future. But what happens when the future also co-creates the past? Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 86. Causality Loops Obviously, the past creates the future. But what happens when the future also creates the past? An evolving co-creation feedback loop results. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 87. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Causality Loops Like the feedback between two mirrors.
  • 88. Causality Loops Or the mathematical feedback loop of a fractal. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 89. Causality Loops If every moment is co-creating every other moment both forward and backward in time… Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 90. Causality Loops If every moment is co-creating every other moment both forward and backward in time… …reality is technically a neural network of information spanning space and time. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 91. Causality Loops This type of network would possess a strange quality… Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 92. Causality Loops This type of network would possess a strange quality… …it would be self-actualized – its own creator. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 94. Non-determinism Prior to the 1920s, it was popular to believe in the clock-work universe idea that reality is a deterministic program playing itself out. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 95. Non-determinism Prior to the 1920s, it was popular to believe in the clock-work universe idea that reality is a deterministic program playing itself out. In that view, this fish didn’t choose to jump. It was just following a deterministic algorithm. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 96. Non-determinism The famous double-slit experiment ruled out determinism, ushering in the new paradigm of quantum indeterminism. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 97. Non-determinism But even without the double slit experiment, the existence of freewill rules out the clock-work universe hypothesis. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 98. John Wheeler, who coined the term black hole, said reality is made of information created by observation – by consciousness. Nature’s Clue 4: Consciousness Nature’s Clue 4: Consciousness
  • 99. Consciousness Bell’s theorem essentially states: All that exists is that which is measured. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 100. Consciousness John Wheeler, who coined the term black hole, said reality is made of information created by observation – by consciousness. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 101. Consciousness It certainly exists in the universe - at least in us. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 102. Consciousness It certainly exists in the universe - at least in us. And it relates deeply to quantum mechanics in ways not yet fully understood. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 103. Consciousness The definition of information involves the perception of meaning, and meaning is a subjective, freewill choice – an act of consciousness. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 104. Consciousness So when one realizes that energy is pure information, it becomes clear that reality itself deeply ties into consciousness in some way... Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 105. Consciousness So when one realizes that energy is pure information, it becomes clear that reality itself deeply ties into consciousness in some way... …as though the information based foundation of reality somehow lives in a substrate of self-organized emergent consciousness. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 106. Consciousness Did consciousness and information emerge in a causality feedback loop? Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 108. Pixelation Werner Heisenberg deduced space and time are pixelated into indivisible Planck units, like a mosaic. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 109. Pixelation The mathematics indicated this … Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 110. Pixelation The mathematics indicated this … …and there was no solid experimental evidence for smooth space or time. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 111. Pixelation However, this new idea was too radical for most scientists of the day except for Niels Bohr, who agreed with Heisenberg. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 112. Pixelation Today, most scientists agree that a length can be no shorter than the Planck length – which suggest reality is pixelated. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 113. Pixelation What type of binary geometric code would describe a pixelated mosaic- like reality? Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 114. Nature’s Clue 6: E8 Crystal Nature’s Clue 6: E8 Crystal
  • 115. E8 Crystal The largest and most expensive object humans have ever built is the Large Hadron Collider in Geneva, Switzerland. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 116. E8 Crystal What is it? Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 117. E8 Crystal What is it? A microscope. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 118. E8 Crystal What is it? A microscope. It peers down into the subatomic realm by colliding particles together and giving us data on how they break apart. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 119. E8 Crystal So what have we learned from 80 years of smashing particles together? Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 120. E8 Crystal We learned that all fundamental particles and forces, including gravity, convert into one another according to the geometry of an 8- dimensional Archimedean solid. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 121. E8 Crystal It forms a crystal structure in eight dimensions called the E8 lattice. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 122. E8 Crystal It can be built entirely from 3D simplexes-integers, regular tetrahedra… Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 123. E8 Crystal It can be built entirely from 3D simplexes-integers, regular tetrahedra… …rotated from one another into different 3D subspaces of R8 by a golden ratio based angle. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 124. Nature’s Clue 7: Golden Ratio Nature’s Clue 7: Golden Ratio
  • 125. Golden Ratio The golden ratio may be the fundamental constant of nature. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 126. Golden Ratio Along with its rational form, the Fibonacci sequence, it is ubiquitous in the universe, from quantum to celestial scales. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 127. Golden Ratio Along with its rational form, the Fibonacci sequence, it is ubiquitous in the universe, from quantum to celestial scales. Let’s explore a few examples starting with black holes. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 128. Golden Ratio Pay attention to the fact that these golden ratio equations are tying together (1) digital information theory, (2) thermodynamics, (3) general relativity and (4) quantum mechanics. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 129. Golden Ratio Carlo Rovelli said the heat of black holes is the Rosetta Stone of physics, written in a combination of three languages – quantum gravitational and thermodynamic – and still awaiting our decipherment. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 130. The golden ratio is the precise point where a black hole’s modified specific heat changes from positive to negative. 𝑀4 𝐽2 = ϕ
  • 131. The golden ratio is the precise point where a black hole’s modified specific heat changes from positive to negative. And it is part of the equation for the lower bound on black hole entropy. 𝑀4 𝐽2 = ϕ 𝑒 8𝜋𝑆𝑙 𝑃 2 𝑘𝐴 ≥ ϕ
  • 132. The golden ratio is the precise point where a black hole’s modified specific heat changes from positive to negative. And it is part of the equation for the lower bound on black hole entropy. The golden ratio even relates the loop quantum gravity parameter to black hole entropy. 2 𝜋𝛾 = ϕ 𝑀4 𝐽2 = ϕ 𝑒 8𝜋𝑆𝑙 𝑃 2 𝑘𝐴 ≥ ϕ
  • 133. Golden Ratio Why does this support the claim that it is the fundamental constant of nature? Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio 𝑀4 𝐽2 = ϕ 𝑒 8𝜋𝑆𝑙 𝑃 2 𝑘𝐴 ≥ ϕ 2 𝜋𝛾 = ϕ
  • 134. Golden Ratio Because a theory of everything must unite general relativity with quantum mechanics. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio 𝑀4 𝐽2 = ϕ 𝑒 8𝜋𝑆𝑙 𝑃 2 𝑘𝐴 ≥ ϕ 2 𝜋𝛾 = ϕ
  • 135. Golden Ratio And a black hole is where these two theories converge. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio 𝑀4 𝐽2 = ϕ 𝑒 8𝜋𝑆𝑙 𝑃 2 𝑘𝐴 ≥ ϕ 2 𝜋𝛾 = ϕ
  • 136. Golden Ratio Black hole theory also tells us reality is made of binary information. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio 𝑀4 𝐽2 = ϕ 𝑒 8𝜋𝑆𝑙 𝑃 2 𝑘𝐴 ≥ ϕ 2 𝜋𝛾 = ϕ
  • 137. Golden Ratio The idea is known as the holographic principle… Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio 𝑀4 𝐽2 = ϕ 𝑒 8𝜋𝑆𝑙 𝑃 2 𝑘𝐴 ≥ ϕ 2 𝜋𝛾 = ϕ
  • 138. Golden Ratio The idea is known as the holographic principle… ….and it comes from a mathematical proof called the Maldacena conjecture. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio 𝑀4 𝐽2 = ϕ 𝑒 8𝜋𝑆𝑙 𝑃 2 𝑘𝐴 ≥ ϕ 2 𝜋𝛾 = ϕ
  • 139. Golden Ratio It states that the total amount of binary information from all the mass and energy pulled into a black hole is proportional to its surface area… Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 140. Golden Ratio It states that the total amount of binary information from all the mass and energy pulled into a black hole is proportional to its surface area… …where every four Planck areas of its surface encode the state of a fundamental particle that fell into it. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 141. Golden Ratio This is interesting because the 4- term 2x2 binary matrix is the most fundamental of all matrices. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio 1 1 1 0
  • 142. Golden Ratio 7/8ths of the 16 eigenvalues are trivial as 0, 1 or 2. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio 1 1 1 0
  • 143. Golden Ratio 1/8th are non-trivial golden ratio values as: and 𝜆− = − 1 ϕ Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 144. Golden Ratio 1/8th are non-trivial golden ratio values as: ϕ and − 1 ϕ Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 145. Golden Ratio In fact, these are the most probable non-trivial or root values for any size random binary matrix. ϕ and − 1 ϕ Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 146. Golden Ratio Both black holes and quantum mechanics deeply relate to the golden ratio, binary information and the number 4… Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 147. Golden Ratio Both black holes and quantum mechanics deeply relate to the golden ratio, binary information and the number 4… …the number of vertices of a tetrahedron. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 148. Golden Ratio In our quantum gravity program, 3- simplices act as “3D bits” that are registered as being “on” or “off” and form E8 related golden ratio orientations relative to adjacent 3-simplices. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 149. Golden Ratio The gravitational constant, G, ties time and length based values together as: G = χc2/4π Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio 𝑀4 𝐽2 = ϕ 𝑒 8𝜋𝑆𝑙 𝑃 2 𝑘𝐴 ≥ ϕ 2 𝜋𝛾 = ϕ
  • 150. Golden Ratio The gravitational constant, G, ties time and length based values together as: G = χc2/4π ϕ = 99.9997% of = hχ as: 0.6180382(10-53) m3/sec. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio 𝑀4 𝐽2 = ϕ 𝑒 8𝜋𝑆𝑙 𝑃 2 𝑘𝐴 ≥ ϕ 2 𝜋𝛾 = ϕ
  • 151. Golden Ratio The gravitational constant, G, ties time and length based values together as: G = χc2/4π ϕ = 99.9997% of = hχ as: 0.6180382(10-53) m3/sec. This deviation at the millionth place after the decimal is remarkable. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio 𝑀4 𝐽2 = ϕ 𝑒 8𝜋𝑆𝑙 𝑃 2 𝑘𝐴 ≥ ϕ 2 𝜋𝛾 = ϕ
  • 152. ? Golden Ratio The gravitational constant, G, ties time and length based values together as: G = χc2/4π ϕ = 99.9997% of = hχ as: 0.6180382(10-53) m3/sec. This deviation at the millionth place after the decimal is remarkable. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio But how can this be true if the meter and second are man- made metrics?
  • 153. Golden Ratio Well, it turns out they’re not so man-made… Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 154. Golden Ratio Well, it turns out they’re not so man-made… thanks to the French. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 155. Golden Ratio Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio The metric unit is simply the distance from the Equator to a pole, the minimally distorted ¼ circumference of Earth.
  • 156. Golden Ratio And the dimensionless ratio of the Earth to Moon pole through pole diameters is . Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio 𝜑 − 1
  • 157. Golden Ratio And the dimensionless ratio of the Earth to Moon pole through pole diameters is . If this ratio is used as a physical basis for a metric… Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio 𝜑 − 1
  • 158. Golden Ratio And the dimensionless ratio of the Earth to Moon pole through pole diameters is . If this ratio is used as a physical basis for a metric… …the ratio of these values to ¼ of Earth’s diameter is 99.9% of 1. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio 𝜑 − 1
  • 159. Golden Ratio So the French had good intuition about this even though they did not know about the golden ratio relationship. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 160. Golden Ratio Our quantum gravity model uses two fundamental lengths at the Planck scale, the Dirichlet integers: 1 and 1/ϕ. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 161. Golden Ratio These Fibonacci chains form a network in 3D exactly equal to our E8 derived quasicrystal made of 3- simplexes. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 162. Golden Ratio These Fibonacci chains form a network in 3D exactly equal to our E8 derived quasicrystal made of 3- simplexes. It is based on the icosahedral rotational symmetries: 2-fold, 3-fold and 5-fold. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 163. Golden Ratio It is also made of the square roots of 2, 3 and 5 because it is based on 3-simplexes related by golden ratio spacing and rotation. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 164. Golden Ratio 2, 3 and 5 are sequential Fibonacci numbers. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 165. Golden Ratio The unit of time called the second is not man-made. It’s based on the orbital time periods of the Earth Moon system, which are based on Fibonacci numbers. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 166. Golden Ratio The number of full Moons in a year is based on the Pythagorean triple triangle of two Fibonacci numbers, 5 and 13, and on 12 = (22)(3) = (F3 2)(F4). Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 167. Golden Ratio Dividing the 5 side into the next two smaller Fibonacci numbers, 2 and 3, generates a line of length: 12.369. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 168. Golden Ratio Dividing the 5 side into the next two smaller Fibonacci numbers, 2 and 3, generates a line of length: 12.369. This is the number of full Moons in a year to an accuracy of about 99.999%. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 169. Golden Ratio There are many other Fibonacci based time and space values in astrophysics. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 170. Golden Ratio There are many other Fibonacci based time and space values in astrophysics. But for now, let us note that the significant digits of the number of seconds in a day is 864 = the 2, 3 and 5 related factorization to Fibonacci powers as (F3 5)(F4 3) = 25 33. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 171. Golden Ratio In other words, we have an Earth- Moon “clock” with two spherical “gears” that have a size ratio of with a ratio to ¼ of the Earth circumference of about 1, which we use as the unit value for our scientific metric system. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio 𝜑 − 1
  • 172. Golden Ratio Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Consider that the rotation cycles of these two golden ratio based spherical gears might accordingly be based on their dimensionless ratios.
  • 173. Golden Ratio Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Consider that the rotation cycles of these two golden ratio based spherical gears might accordingly be based on their dimensionless ratios. The Earth day itself is a geometric system based on the rotation of Earth’s mass, as acted upon by a golden ratio relationship with the Moon’s mass.
  • 174. Golden Ratio Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Then we get our fundamental time unit, the second, from this golden ratio Earth-Moon clock by taking the average Earth day divided by one of the most rudimentary Fibonacci power products (F3 5)(F4 3).
  • 175. Golden Ratio Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio And using these non-manmade approximations based on dimensionless values as our metric for length and time, we find that c = 299,792,458 m/s = 99.9% of 3, which is the first odd prime and the Fibonacci number F4 .
  • 176. Golden Ratio In other words, the 25 33. based division of the golden ratio based Earth Moon “clock” may be no more man-made than the golden ratio related metric system based. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 177. Golden Ratio ϕ = 99.9997% of = hχ is interesting in light of our geometric first principles approach to fundamental physics on the quasicrystalline spin network. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 178. Golden Ratio ϕ = 99.9997% of = hχ is interesting in light of our geometric first principles approach to fundamental physics on the quasicrystalline spin network. Our object starts at the Planck length and scales as the golden ratio power series. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 179. Golden Ratio All of physics can be built up from any two of the dimensional constants c, h and G. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 180. Golden Ratio All of physics can be built up from any two of the dimensional constants c, h and G. And the most important dimensionless value is the fine structure constant α. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 181. Golden Ratio All of physics can be built up from any two of the dimensional constants c, h and G. And the most important dimensionless value is the fine structure constant α. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio The relationships of c, h and G are expressed as lP = ℎ𝐺 𝑐3 , the Planck length spatial “pixel” of reality.
  • 182. Golden Ratio All of physics can be built up from any two of the dimensional constants c, h and G. And the most important dimensionless value is the fine structure constant α. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio The relationships of c, h and G are expressed as lP = ℎ𝐺 𝑐3 , the Planck length spatial “pixel” of reality. And lP = 99.9% of ϕ if the metric system is used.
  • 183. Golden Ratio All of physics can be built up from any two of the dimensional constants c, h and G. And the most important dimensionless value is the fine structure constant α. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio α-1 = 99.7% of 360 Φ2
  • 184. Golden Ratio I’ve presented golden ratio approximations with deviations as high as the millionth place after the decimal. Because different experiments give different values, the constants are only known to the 4th place after the decimal. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Method Value of h (10−34 J⋅s) Watt balance 6.62606889(23) X-ray crystal density 6.6260745(19) Josephson constant 6.6260678(27) Magnetic resonance 6.6260724(57) Faraday constant 6.6260657(88) CODATA 2010 recommended value 6.62606957(29) The nine recent determinations of the Planck constant cover five separate methods. Where there is more than one recent determination for a given method, the value of h given here is a weighted mean of the results, as calculated by CODATA.
  • 185. Golden Ratio If the quasicrystalline spin network approach to quantum gravity is correct, why is the Planck length only about 99.9% of the golden ratio? Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Method Value of h (10−34 J⋅s) Watt balance 6.62606889(23) X-ray crystal density 6.6260745(19) Josephson constant 6.6260678(27) Magnetic resonance 6.6260724(57) Faraday constant 6.6260657(88) CODATA 2010 recommended value 6.62606957(29) The nine recent determinations of the Planck constant cover five separate methods. Where there is more than one recent determination for a given method, the value of h given here is a weighted mean of the results, as calculated by CODATA.
  • 186. Golden Ratio To answer that, one should understand that our quantum gravity framework will predict that systems like the Earth-Moon clock settle into spatial and time based patterns that approximate the golden ratio substructure of spacetime because these will be energetically favorable. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Method Value of h (10−34 J⋅s) Watt balance 6.62606889(23) X-ray crystal density 6.6260745(19) Josephson constant 6.6260678(27) Magnetic resonance 6.6260724(57) Faraday constant 6.6260657(88) CODATA 2010 recommended value 6.62606957(29) The nine recent determinations of the Planck constant cover five separate methods. Where there is more than one recent determination for a given method, the value of h given here is a weighted mean of the results, as calculated by CODATA.
  • 187. Golden Ratio In other words, physical systems seek to find the best Fibonacci ratio approximation of the golden ratio, due to finiteness. For example, the two double helices of DNA are offset by a Fibonacci ratio of 13:21 angstroms = 99.8% of ϕ. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Method Value of h (10−34 J⋅s) Watt balance 6.62606889(23) X-ray crystal density 6.6260745(19) Josephson constant 6.6260678(27) Magnetic resonance 6.6260724(57) Faraday constant 6.6260657(88) CODATA 2010 recommended value 6.62606957(29) The nine recent determinations of the Planck constant cover five separate methods. Where there is more than one recent determination for a given method, the value of h given here is a weighted mean of the results, as calculated by CODATA.
  • 188. Golden Ratio If we “normalize” the Earth-Moon ratio to be exactly our golden ratio values instead of just 99.9%, we get a slightly adjusted metric unit as 0.9990419 of the current value. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Method Value of h (10−34 J⋅s) Watt balance 6.62606889(23) X-ray crystal density 6.6260745(19) Josephson constant 6.6260678(27) Magnetic resonance 6.6260724(57) Faraday constant 6.6260657(88) CODATA 2010 recommended value 6.62606957(29) The nine recent determinations of the Planck constant cover five separate methods. Where there is more than one recent determination for a given method, the value of h given here is a weighted mean of the results, as calculated by CODATA.
  • 189. Golden Ratio This shorter metric unit then moves the approximation of the Planck length from the current value of 99.9% of Φ to about 99.99% and it moves the value of c to about 99.99% of 3. Again, the measured values for h and G are only known to about the 4th place after the decimal, the same range of accuracy we are speaking of here. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Method Value of h (10−34 J⋅s) Watt balance 6.62606889(23) X-ray crystal density 6.6260745(19) Josephson constant 6.6260678(27) Magnetic resonance 6.6260724(57) Faraday constant 6.6260657(88) CODATA 2010 recommended value 6.62606957(29) The nine recent determinations of the Planck constant cover five separate methods. Where there is more than one recent determination for a given method, the value of h given here is a weighted mean of the results, as calculated by CODATA.
  • 190. Golden Ratio 75% of the universe is made of hydrogen. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 191. Golden Ratio 75% of the universe is made of hydrogen. And the basis of all atomic theory can be derived from its values. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 192. Golden Ratio Based on work done by C. H. Suresh and N. Koga in 2001, Raji Heyrovska showed the atomic radius of Hydrogen in methane to be the Bohr radius over the golden ratio. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio rH = a0 𝜙
  • 193. Golden Ratio In 1993, Lucien Hardy, of the Perimeter Institute for Theoretical Physics, discovered that the probability of entanglement for two particles projected in tandem is: Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio ϕ _5
  • 194. Golden Ratio The results were experimentally confirmed three times in peer reviewed papers during the period 1993 to 2009. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio ϕ _5
  • 195. Golden Ratio In 2010, a multinational team of scientists found an E8 based golden ratio signature in solid state matter. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 196. Golden Ratio Cobalt niobate was put into a quantum-critical state and tuned to an optimal level by adjusting the magnetic fields around it. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 197. Golden Ratio Cobalt niobate was put into a quantum-critical state and tuned to an optimal level by adjusting the magnetic fields around it. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 198. Golden Ratio The optimal level occurred when the resonance to pitch was in a golden ratio based value specifically related to the geometry of E8. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 199. Key to the PuzzleKey to the Puzzle
  • 200. Key to the Puzzle Nature has given us 7 clues about a theory of everything. So what is the key to this puzzle? Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio
  • 201. Our research program is focused on projecting the E8 crystal to 3D and 4D, which creates a golden ratio based binary code of pixelated space and causality loops requiring emergent consciousness. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle
  • 202. The cell shape of E8 that best represents it is the Gosset polytope with 240 vertices. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle
  • 203. When we project this to 4D, it becomes two identical shapes of different sizes like these here. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle
  • 204. The ratio of their sizes is: Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle
  • 205. The ratio of their sizes is: Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle ϕ
  • 206. And each is made of 600 regular 3D tetrahedra rotated from one another by a golden ratio based angle. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle ϕ
  • 207. The 600-cells intersect in seven golden ratio based ways and kiss in one particular way to form a 4D aperiodic mosaic tiling called a quasicrystal. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle ϕ
  • 208. A quasicrystal is a code or language. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle ϕ
  • 209. This is because the ways you can arrange the building block geometric symbols or shapes are governed by rules (like a language). Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle ϕ
  • 210. But within the rules, you must make choices that are not forced by those rules. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle ϕ
  • 211. So because it is not a deterministic or forced set of building instructions, there is freedom to create many patterns while still obeying the rules of the code. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle ϕ
  • 212. It is a language in every sense of the word… Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle ϕ
  • 213. It is a language in every sense of the word… …specifically it is a language of waves or vibrations. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle ϕ
  • 214. The 4D quasicrystal is represented in 3D with regular tetrahedra related by golden ratio based rotations and looks like this. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle
  • 215. The language is binary, where tetrahedra form an invisible possibility space and are chosen to be “on” or “off” in each frame, according to the language rules. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle
  • 216. Over many quasicrystal frames, dynamic wave and particle-like patterns emerge. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle
  • 217. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle Remember, evidence prevents us from believing in the deterministic Newtonian clock-work universe.
  • 218. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle And codes cannot be operated by randomness or they breakdown and cease to generate meaning.
  • 219. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle So if reality is based on something like our E8 physics, WHO or WHAT is choosing the steps in the code that require freewill?
  • 220. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle It is certainly not us because this is a code that operates down at the Planck scale.
  • 221. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle And again, randomness does not generate meaning in languages.
  • 222. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle Plus, there is no first principles explanation for randomness or even experimental evidence for it.
  • 223. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle Can a consciousness that emerges from the code be the origin of the code in the first place – making it a logically consistent causality loop?
  • 224. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle A universal collective consciousness could be the answer.
  • 225. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle A universal collective consciousness could be the answer. But that sounds New Age and religious.
  • 226. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle And besides, how could such a thing emerge from a universe made of information?
  • 227. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle And how would the information emerge in the first place?
  • 228. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle Clearly, evolutionary emergence by self-organization is how the universe works…
  • 229. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle Clearly, evolutionary emergence by self-organization is how the universe works… …where small and simple things self-organize into larger emergent things.
  • 230. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle Our consciousness is an extreme example of emergence via self- organization.
  • 231. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle The mathematical power of a neural-network like universe based on our quasicrystalline spin network is in its massive non-local connectivity – both forward and backward in time.
  • 232. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle Networks harness the mathematical power of exponential connectivity and growth.
  • 233. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle As an example, let’s fold this piece of paper four times.
  • 234. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle As an example, let’s fold this piece of paper four times. It’s still just a few millimeters thick.
  • 235. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle How thick will it be if I folded it another 99 times for a total of 103 folds?
  • 236. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle How thick will it be if I folded it another 99 times for a total of 103 folds? It would be twice as big as…
  • 238. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle There are no laws in physics that place an upper limit on what percentage of the universe can exponentially self-organize into freewill systems like us humans.
  • 239. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle Physics allows the possibility that all the energy of the universe can be converted into a single conscious system that is itself a network of conscious systems.
  • 240. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle Given enough time, what can happen will eventually happen.
  • 241. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle Given enough time, what can happen will eventually happen. By this axiom, universal emergent consciousness has emerged via self- organization somewhere ahead of us in 4D space-time.
  • 242. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle Given enough time, what can happen will eventually happen. By this axiom, universal emergent consciousness has emerged via self- organization somewhere ahead of us in 4D space-time. And because it is possible, it is inevitable.
  • 243. Information Causality Loops Non-determinism Consciousness Pixelation E8 Crystal Golden Ratio Key to the Puzzle In fact, according to the evidence of retro-causality time loops, that inevitable future is co-creating us right now just as we are co- creating it.
  • 244. In summary, our geometric reality may be a lower dimensional code of shape-numbers called simplex- integers derived from a hyper- dimensional lattice via projective geometry.