1. Orbi Theory
Toshiki Takahashi
2014/07/07
Physicists continue observational survey about dark matter and dark energy
for a long time, they think out many kinds of explanation. In this thesis, I
propose a useful idea that brings physics to a conclusion on the need of thinking
that dark energy is propotional to integer powers of distance. The idea derives
from multiplying height with both sides of equation of motion,Fh = mah. The
right side of the equation means potential energy. Force can calculate that mul-
tiply dark energy and the integer power of distance then divide it by converting
gravitational acceleration at a speed using a equation that time curves propo-
tionally by gravitational acceleration. I introduce dark energy appears like as
Kepler's areal velocity, a kind of directed membrane, then draw that in complex
space.
I will explain duality of optics. Then quantum wonderfulness disappears,
quantum theory will change into rational theory. Light has easy equations
about each traits, particleness and waveness. Here try density, I will install the
relation between wave length and friction coecient, also frequency and friction
coecient, particleness and waveness can be understood as distribution. Then
we achieve geometrical investigation of friction. We add the third mathematics
concept that shows spin surface called dinericity. By dinericity, we can calculate
the phases of optical process articially. I accomplished complex space that can
calculate manifold visually.
In the future, optical knowledge must increase. Here introduce measurement
frame for discovery of new traits. To recognize dynamical system, motion of
objects divide into a few elements, position, momentum and course. We can
deal position like as particle, momentum wave and course trajectory. I call
division measurement system into motion elements obsearvable decomposition.
Motion decomposed observablly sets equations each observable elements. The
new elements extracted in the process of decomposing observablly intends new
physics. Here physics focused on trajectory call orbi theory.
The particleness can be given by c = E
h ., the waveness c = λν. In orbi
theory, the course of molecule is not drawn circle but also cloud dicult to
catch, history of course remained along several tracks on angular surfaces. At
thinking time as a dimension, gravitational acceleration concerns t = gπ2
. Orbi
record course run in molecular model as atomic trajectory in given time. Orbi
energy is sum of molecular energy and self spinned energy E = Em + Es.
I suppose dark energy generates because of self spinned energy.
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2. The view that gravity brings acceleration propotionals time will contribute
future physics and understand about gravity warps space time. The trait of
spin composes eld works as warping various points of space time. Light cannot
stop spinning. The matter wave λp = h. promises momentum does not set zero,
wave length has some value not zero.
Orbi energy is not dynamical sum but needs to add integral of eld warped
by spinning. Compose Newton's lawm = F
a and Einstein's equationm = E
c2 ,
F = a
c2 E = at2
r2 E.
r means moved distance of light r = 1
k .k means wave number . Multiply
distance of light and wave number of light equals 1. This derives from light
has constant energy. This formula is correct under conservation law. Motion of
light reserves dynamical energy at the case of photon or optical ow. Accept
trait of light like spin called dinericityc = rω.,
Fr
2
= a
ω2 E.
Spin of photon is not zero, photon always slips, angular velocity is never
zero. The distance moved light changes by angular motion because light energy
conserves. Light velocity is constant, nut light always moves angulary, orbi of
light draws spiral surface. The formula of spiral surface meant dinericity of light
consist of angular acceleration divided by squared angular velocity of light and
energy. Spiral surface means product of force and area.
Phonon has also the dual trait near light, but phonon does not move by
itself, cannot have distance, sonic velocity is cp = nω. Sonic orbi isb = r2
ω.
Sonic wave communicates spinning particle surface which has angular velocity.
Set wave gradient using light speed ∆c, state moving in particle group touching
other particles explains
µ∆c = ρ(κ − a) − gradP.
Friction coecient concerns µ = Λλ
ρ . µ means density per unit of wave
distance and its extend. Variable means extend stateΛ calls patchness. It
means distribution of partial density or patches of wave length in certain space
time. Wave concerns vibrationν, λ = Ξµ
ν .÷ calls dark number. Dark number
has dimension [ms]. It is a kind of orbi.gradP expresses as ∆ P. Income and
outcome relates∆
in
P×∆
out
P = 1. This pressure gradient generates object
ow explains
∆ P = µ∆c + ρ(κ − a).
κ means curvature, and dierence between curvature and acceleration means
gradient of uctuation. First term of right side deals moving object, and second
term means eld for moving. First term calls kinetic termK and second term
calls space time termΓ.
∆ P = K + Γ, Γ = ρ(κ − Dc
Dt ).
The gradient of pressure consists from the term edits motion and term or-
ganizes motion eld. Orbi energy is sum of dynamical system and its eld.
Generally, dark energy can explain by Es = Prn
. It is not reserved energy.
Dark coecient P = gc2
G , Dark energy explains
Es = t
G
c
π
2
rn
.
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3. The dimension of Esis rn+2
t . At the end of this thesis, moving object
cannot set its position because it moves, stopped object cannot set its motion
because it stops. This uncertainity can understand that moving object has
moved course. Stopped object has matter wave smallen momentum ash light
long wave length. Both moving course and matter wave uctuation are area
velocityS
dS
dt = k.
The law that area velocity per time is constant. It calls principle of orbi. The
orbi per time can understand easily to culculate in complex space. Coordinate
system xes value number axis erected to complex plain, the new axis calls value
axis V, value number meant multivalueness extends not natural number but real
number, Kepler's orbi can calculate as spiral surface.
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