Chaos Theory is one of the recent mathematical and physical researches which aims at describing the natural phenomenon.

1. CHAOS THEORY

2. • Chaos theory is a branch of mathematics focusing
on the behavior of dynamical systems that are
highly sensitive to initial conditions. 'Chaos' is an
interdisciplinary theory stating that within the
apparent randomness of chaotic complex systems,
there are underlying patterns, constant feedback
loops, repetition, self-similarity, fractals, self-
organization, and reliance on programming at the
initial point known as sensitive dependence on
initial conditions. The butterfly effect describes
how a small change in one state of a deterministic
nonlinear system can result in large differences in
a later state, e.g. a butterfly flapping its wings in
China can cause a hurricane in Texas.

3. • In chaos theory, the butterfly effect is the
sensitive dependence on initial conditions in
which a small change in one state of
a deterministicnonlinear system can result in
large differences in a later state.

4. • In the mathematical field of dynamical systems,
an attractor is a set of numerical values toward
which a system tends to evolve, for a wide
variety of starting conditions of the
system.[1] System values that get close enough
to the attractor values remain close even if
slightly disturbed.
• a curve or geometrical figure, each part of which
has the same statistical character as the whole.
They are useful in modelling structures (such as
snowflakes) in which similar patterns recur at
progressively smaller scales, and in describing
partly random or chaotic phenomena such as
crystal growth and galaxy formation.

5. The chaos theory says that at a given point
everything seems to move toward chaos but in
the end the result is ordered.
This is the beauty of mathematics
It shows us order, even in chaos.

7. • "On a winter day 50 years ago, Edward Lorenz,
a mild-mannered meteorology professor at
MIT, entered some numbers into a computer
program simulating weather patterns and
then left his office to get a cup of coffee while
the machine ran. When he returned, he
noticed a result that would change the course
of science."
• He changed 6 decimal place calculation to 3
and this happened!

9. • So, is fate a real thing?
• Is Karma a real thing?
• Does my present change my future?
• Did my future cause my present?

10. • Causality has a 2 headed time arrow
ie: The future might influence the past.
The evidence they say is Quantum entanglement,
Particles that are entangled with each other show
effects in the present and the past due to the future.

11. • The word “entanglement” has the same
connotations as a romantic entanglement: a
special, and potentially troublesome,
relationship. Entangled particles start off in
close proximity when they are produced in the
laboratory. Then, when they are separated,
they behave like a pair of magic dice. You can
“roll” one in Las Vegas (or make a
measurement on it), your friend can roll the
other in Atlantic City, N.J., and each die will
land on a random side. But whatever those
two sides are, they will have a consistent
relationship to each other.

12. Entanglement in an electron
Spin of an entangled electron.
Randomness of the spin.
Teleportation.

13. • The standard interpretation of entanglement
is that there is some kind of instant
communication happening between the two
particles. Any communication between them
would have to travel the intervening distance
instantaneously—that is, infinitely fast. That is
plainly faster than light, a speed of
communication prohibited by the theory of
relativity.

14. Suppose it is not the case that the particles
communicate instantaneously with each other, and
it is also not the case that their values were fixed in
advance. There seem to be no options remaining.
But here Price asks us to consider the impossible:
that doing something to either of the entangled
particles causes effects which travel backward in
time to the point in the past when the two particles
were close together and interacting strongly. At that
point, information from the future is exchanged,
each particle alters the behavior of its partner, and
these effects then carry forward into the future
again. There is no need for instantaneous
communication, and no violation of relativity.

15. • So,
• Maybe fate exists, maybe your future effects
your past, but that doesn’t mean your
girlfriend left you for what you were about to
do next week.
• Chaos theory and quantum entanglement are
entangled concepts! One results to the other.

16. Thankyou!