Statistical Theory of gravity

The  Raw Concept 

Central Tendency 

We  assume the followings 
Gravity = Central Tendency of matter 
Temperature =  Central Tendency of Heat 
Average = Central Tendency of   Number 
We are saying that Gravity  , Temperature and Law of Average they are basically the same stuff.

suppose  number 7, 5  and 3 are in motion  in vector space , 5 is their temperature. And  if 
we think   7, 3 and 5  revolving  around  5  then , 5 is their central tendency  or numerical Gravity.

In  Lower dimensional boundary   3,5 ,7 are in motion   ,5 is their Average  , this 5 is their Temperature..
In higher dimensional bulk   5,3,7  revolves around their average  5  . Toward 5  is their central tendency   , We call this central tendency as Gravity.
This Way  Gravity and Temperature  are the same thing  , two face of  the  Law of Average . So , they are connected by Gauge Transformation 

Holographic principle

Gravity : At Lower dimensional boundary  planet and stars are in random motion  , their average motion  is the Force. At higher dimensional bulk   Planet feel central tendency toward the star , which is Newtonian  Gravity 

Heat ;  At lower dimensional  boundary  hot particles  move in random motion  , their average motion is their temperature  At higher dimensional bulk   particles  revolve around  a Hotter center  , particles feel    central tendency toward the hotter center  , this central tendency is their Temperature  , namely Thermal Gravity.

Difference : 

The difference between heat and Gravity is  that  in case of heat observer is at the lower dimensional boundary  but incase of Gravity observer is in the higher dimensional bulk 

That is why in  Holographic principle   :  Gravity in  ( D + 1 ) = Heat in ( D+0) 

In between  Gravity and Heat  observer's  position in dimension changes ,  "dimensional  relativism ."

Gravity is the tendency of matter to move toward statistical equilibrium.

Gauge Transformation (Conceptual)

When  observer changes the Gauge   .  Changes  his look from lower dimension to  higher dimension 
a.  Rectilinear motion become  Circular motion 
b.  Heat   becomes Gravity  
Because under lying mathematics is the same  , Both heat and gravity obey  law of statistics , the law of Average.

Classical Gravity  is Temperature = average  motion of Gravitational field.

This is why thermodynamic    F  |> x  = |> S .T   And  F= GM/r2   are connected

Color  Theory of Gravito dynamics::

Think  in a box , there are , 7 green balls , 5 red balls ,  3 blue balls   ,  Now we can ask a question - what is the probability of  picking  a red ball   if picked randomly ?   But  if the balls have no color  can we calculate the probability .of  picking a ball /?  NO  .  
So  statistics  has no meaning without  color marker.

Statistics = f ( color marker )

So naturally  color is associated with numbers. 

Color <==> Number 

Now , assuming that Planets have colors 
Earth =Blue 

Mars =Red 

Venus = Yellow 

Now assume that this colors have numbers associated them   Blue =3 , Yellow =7 , Red  = 5 . So their average is  5  , this is the Equilibrium points of these three planetary system  as like Langrangian   points of  Newtonian  Gravity 

Three planets  Red , Blue and Yellow   has an Equilibrium point or Average  at the center   that's what holding together the system .

So  Gravity  = Statistical Phenomenon  , that's why   Gravity = color .
Hence  Entropic  Theory of Gravity   can be   extended to   Color  Theory of gravity  , namely

Gravito - Chromo dynamics 

Gibbs Paradox and Entropic Gravity

                                                           image : Internet

From  Gibbs  Paradox  it can be stated  that " entropy can not be  observed  if particles have no color " 

So we  can say   
 
 Entropy =f ( color)   or   Probability = f ( color) 

According to Entropic  theory of Gravity  ( Verlinde 2010  ) , We can write 

 Gravity  = f( Entropy )

So  Gravity = f ( color)

Thus  Gibbs Paradox  combined with  Entropic Gravity ( Verlinde 2010 )  suggests   that Gravity  has hidden color property .

Gibbs Paradox +  Entropic Gravity  =  Color theory of Gravity 

Now we come to Strong nuclear force     This force can be thought as rubber band  ( Susskind, 1969 ) 

Tension  = constant . |>  Length  ( Hooks law )  

Now  two Quarks  are  bound  together   with rubber band    . they are pulled apart  , tension increase . Now the band is released  , length contracted  but disorder of band increased 

Length contraction of Rubber band =  Disorder | ^  = Entropy |^ 

And, Entropy = color   ( Gbbs Parado0x)

So, Strong nuclear force  = rubber band = Entropy = color 

Therefore   Strong force  combined with rubber band theory and Gibbs paradox  automatically show Strong force should have color . 

Now we extend it to Gravity  , supposing Strong nuclear force and Gravity are parallel force 

Strong force  | |  Gravitational force 

Let us assume   Gravity  = Rubber  band  tension 
So0 two bodies  come closer to each other  because  of tension of rubber band

Thus   Gravity  = rubber band  =  Entropy |^  =  Color .

Entropic theory of Gravity  = rubber band theory of Gravity = color theory of Gravity 

In String Theory,  Graviton  = Closed loop string 

So we write, Looped String  theory = Rubber band theory  = color  of Gravity 

Conceptually ,

Yang Mills  Gauge theory  ==>  Parallel transport  ==>  Holonomy  

Shows there is a connection  between   Q C D and geometric loop 

Form Thermodynamics  , 

F |> x = |>S T  .

If   |> x =  Infinity  , then   |> S  = infinity  , So,  F =  Color 

At long distance Color force become dominant

There are  Two type of law of gravity  , When  r = 0  , it is Newtonian  

F = GM / r2  

But when   r= infinity   , color  force dominate   F=  K r 

because  of this  color force gravity can act on long distance 

                                                                    

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Higgs field 

Now  we will try to explain Electroweak theory  with color theory .

Postulate       Number = color  
Higgs field has only one charge every where  , so it has only one color .
 Hggs field = Green color 
Now   W1 , W@ ,W3  fields also have the same color charge 
W1, W2,W3 =  Green Color.
So W1 and W2  fields can  mix with Higgs field and gain mass 
 W ( Green )  +  Higgs field ( Green)  = Mix up.
But  U(1)  Gauge  field  B has red color   
 
B = Red  
B (red) +  W3 (green)  =  Photon (Yellow)

Yellow  Photon can not mix up with Green Higgs field  , so it can not get mass.

Weak charge number  = color  

Photon = 0  

W  = 1 

Higgs field =1  
 

Photon = B sin X + W3  cos X   ==> 0 = -1+1 ==> Yellow =  Red + Green

Green Higgs field can not recognize the   Yellow photon , so photon remains massless.

Semi Classical quantum gravity 

Circular motion  and Harmonic Oscillation have same  mathematical equation 

X(t) = A \cos(\omega t + \phi_o)

Now  ,

 Gravity = Law of Average = Central tendency = circular motion = Harmonic oscillation 

In Quantum Harmonic Oscillation   , Ground  state is the Gaussian curve  of the probability wave 

So in quantum Harmonic oscillator   ,    Gravity = Gaussian   Curve.

In Quantum mechanics ,   Quantum mechanics =  Gaussian Wavve packet = moving Gaussian curve 

So Logically   

 Moving Gravity  = Moving Gaussian curve  = Gaussian wave packet =  Quantum mechanics 

Gravity is  a  gaussian wave packet  , moving between planets and star.

Written by Ai :

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