**Feeding Back Energy Principle
and Its Equivalent Mass Forms**

Author：Zhiqiang
Zhang

ID：210211195801073173

Email : gp@xinzhitrading.cn

Key word :** **Feeding back energy principle , Mass law , Unified expression of
physical interactions

**Abstract**

In this paper , an hypothesis which unveils
energies fed back between any two objective bodies is put forward , and it expound this principle in terms
of several equivalent masses , such as charge equivalent mass , magnetic
moment-flux quantum equivalent mass , magnetic moment-circulation quantum
equivalent mass, magnetic
moment-mol equivalent mass .

An conclusion from the hypothesis is made
that all kinds of interactions between any two objective bodies are equal to
that of gravitational one under corresponding equivalent mass. In other word ,
to any basic physical interaction , there would be existence of specific mass
or equivalent mass under which this physical interaction is equally a result of
gravitational one .

Also from the hypothesis , mass law is inferred
which means that mass of any object in the universe is equal to sum of energies
fed back from all other objects of the universe divided by speed of light _{} .

Gravitational law and Coulomb law can be
derived from the hypothesis either .

This paper is based on theory constituted in
paper of “Completable Space-Time and Default Space-Time” also written by the
author.

**1 Feeding Back Energies Hypothesis**

Suppose there are two celestial bodies in the
universe _{} and _{}and _{}apart each , thus: celestial body _{} radiates
some amounts of energies to celestial body _{} and then
celestial body _{} feeds same
amounts of energies back to celestial body _{}. These amounts of energies are directly proportional to
masses of these two bodies and inversely proportional to _{} , that is :

_{}
(1-1)

Here _{}=|_{}|_{} , _{}=|_{}|_{} .

_{} is gravitational
constant.

According what said in the paper“ Completable
Space-Time and Default Space-Time” , we know _{} , so we can
substitutes _{} by _{} and notice that:

_{} ， _{}=_{}.

So formula (1-1) can morph into another form
as below:

_{}
(1-2)

We call expression (1-1) as _{} reduced form of
the hypothesis and equation (1-2) as _{}reduced form.

Of course we can have other such similar
reduced form of the hypothesis,
such as _{}reduced form , _{}reduced form and _{}reduced form … .

**2 Mass Law**

From this hypothesis , we can get a inference of mass law . The mass law says that mass of any object in the universe is equal to sum of energies fed back from all other objects of the universe divided by square of speed of light . That is :

_{}
(2-1)

**
**

Now we
demonstrate this conclusion .

Suppose there is an object whose mass is _{} ，energies fed back from all other objects of
the universe to it is _{} , and two conditions
are required :

_{} , Mass density in the
universe is even .

_{} , Geometry shape of the
universe is spherical .

According to the hypothesis (1-1) , we can get :

_{}

Also by condition _{}and condition _{} , we know that energies fed back from all
other objects of the universe to_{}
is the same ones which is fed back from sum of masses of these objects
as a whole situated in a distance of radius of the universe to it . That is :

_{}
(2-2)

here , _{}is radius of the universe

_{} is mass of the universe

Then according to default theorem , we can get :

_{}
(2-3)

We now have
known that total masses of the universe equals (**n**_{}**)** and radius of the universe equals **(n _{})** ,

thus :

_{}

**= _{} **

while** **** _{}=_{}**

So ，_{}
(2-4 )

That is : ** _{}**

Everyone knows _{} ，compared this formula to equation(2-4) , we
get :

_{}
(2-5)

While _{} has been utterly proved to be true by
scientific theory and numerous physical experiments .

So we have vindicate that total energy of
an object in the universe is coming from those fed back from all other objects
of the universe ； in other word , mass of an object
in the universe is equal to quotient of sum of energies fed back from all other
objects of the universe and square of speed of light . That is :

** **_{}

_{}

During process of demonstration to mass law , we used preconditions ：

_{} , Mass density in the
universe is even .

_{} , Geometry shape of the
universe is spherical .

Since we now convince that mass law is true , that is , under these two conditions , this conclusion stands . Then do we assure that such conditions are the only ones to meet this result ?

If these two conditions are the only ones to match the conclusion , then we can absolutely believe that the universe is uniformity everywhere and spherical to any observer in the universe . .

In addition , since modulus of information of the universe had nothing to do with position in

which an
observer stands , so physical properties of the universe , such as its total
mass , radius , age , mass density , expansion speed and temperature of
background radiation , remain same to any observer in the universe , this means the universe is of isotropy
**(**see another paper of “ G Bubble
Burst and the Universe Being Created ”
in section of investigation to cosmology continued ) .

As we know that uniformity and isotropy of the universe are all about of so called principle of cosmology . Now we finally find out theoretical root of this principle . The principle of cosmology is right .

From discussions above , we now perfect this principle as :

**The universe is uniformity , isotropy and constant spherical in its
three dimensional space .**

**3 Inference of Gravitational Law**

** **According to energy feedback principle of equation
(1-1) , and taking the derivative of _{} with respect to
time _{} , we can get :

_{}

=_{}
(3-1)

From results of
Feeding Back Theory of the Universe , we know that :

Minimum of _{} is approaching to
_{}=_{}=0.4050833153880067…e-34_{}

Minimum
of _{} is approaching to
_{}=1.3512124957728855…e-43_{}

Then we have :

_{}=_{}

since this result stand anywhere
, so we get an universal conclusion :

_{} (3-2)

** w**hile according to theory of physics and mass
law mentioned above we know that _{} have been
transformed into parts of mass of _{} , so there would
be the case of _{}＜0 .

Thus :
_{} (3-3)

here , _{} is momentum of _{}

_{} is force exerted
by _{} upon _{}

compared to equation (3-1) , (3-2) and (3-3)
, we have :

_{} (3-4)

Since this force is attractive which is
verified by observation , so we now designate the sign of “+” as representation
of attractive property .

Also from equation (3-3) and equation (3-4) , we assure that gravitational
force stems from feeding back energies along with symbiosis of speed of light _{} . So we begin to
be convinced that gravitational action (or gravitational radiation ) also
spread by speed of light _{} .

As to detection to this gravitational radiation , we must realize that
we can not directly measure it , because it has converged into part of mass of _{} or measuring
instrument before we capture it . To this regard , we can comprehend more sufficiently
about it through looking at mass law and information equation of the universe
which is expounded in paper of “ G Bubble Burst and the Universe Being Created ”
continued .

**4 Morphing
Form of the Hypothesis**

** Under
Equivalent Masses **

We are popularizing (1-1) into any objective
bodies , that is : feeding back energies between any two objective bodies are
can be formulated as (4-1) below

_{} (4-1)

Here
_{}=|_{}|_{} , _{}=|_{}|_{}

**4.1 , Morphing form of charge equivalent mass**

From previous results mentioned , per
unit of charges are equivalent to a mass of _{} , and also
substitute _{} and _{} by this
equivalent mass in (4-1) , and:

_{}

_{}=_{}

_{}

So we get:

_{} (4-2)

Let _{}, we have:

_{} (4-3)

This means feeding back electrostatic
energies between two basic charge _{} equal to gravitational
energies of two objective bodies whose mass are _{}=_{}each. Here _{} is constant of
fine structure.

Also we can reduce (4-2) into
another form of _{}reduced

_{} (4-4)

if we introduce_{}, this expression can reduce itself into one we are so familiar
with_{}.

**4.2 , Inference of Coulomb Law**

** **From equation (4-2) _{} , we take the
derivative of it with respect to time _{} , we can get :

_{}=_{}

=_{}=_{}

here _{} (fine structure
constant)

From equation (3-2) we know :

_{}

Also in this case , _{}does not transform into part of mass of objective bodies
involved , so we have : _{}＞ 0 or _{}＜ 0 ,

thus : _{}=_{}

and _{} .

here _{}is momentum of _{}

Thus we have :

_{}

When charges have opposite nature
, we have :

_{}

It means the force is attractive ;

When charges have same nature , we have :

_{}

It means the force is repulsive .

**4.3 , Morphing Form of Magnetic moment related equivalent masses **

There are three situations of this type of
equivalent mass .

** , Magnetic moment–magnetic flux quantum equivalent mass **

We call quotient between an
elementary particle’s magnetic moment and flux quantum _{}

as magnetic moment-flux quantum
equivalent mass , that is

_{} (4-5)

here ,
_{},

_{} is magnetic
moment of the particle .

So we get morphing form of magnetic moment-magnetic
flux quantum equivalent mass

_{} (4-6)

or _{} (4-7)

**,Magnetic moment- circulation quantum equivalent mass **

We call quotient between elementary
particle’s magnetic moment and its circulation quantum _{}as magnetic moment-circulation quantum equivalent mass , that
is :

_{} (4-8)

here ,_{} , _{}is mass of the particle involved.

So we get morphing form of magnetic
moment-circulation quantum equivalent mass

_{} (4-9)

or _{} (4-10)

** , Magnetic moment-mol
equivalent mass **

We call quotient of magnetic moment of
elementary particle and _{} as magnetic
moment- mol equivalent mass , That is :

_{} (4-11)

So we get morphing form of magnetic moment-
mol equivalent mass

_{} (4-12)

or _{} (4-13)

According to equation (4-1) and
above equivalent masses and their corresponding morphing forms , we can view
mutual actions between any two elementary particles as gravitational effect under
various equivalent masses . In other words , all kinds of basic physical
interactions between any two
objective bodies have common form in terms of mathematical expression , or to
any such interaction , there would be existence of a mass or an equivalent mass
under which this interaction equals gravitational one both quantitatively and
essentially .

**5 Calculating Paradigm **

Suppose there are two protons _{}and_{}, its magnetic moments are _{} and

_{}

Its rest masses are _{}and_{}=_{} , Each carry basic charge of _{}.

We know from what have discussed
above that ratio of energies of all kinds of actions(feeding back energies)
between these two protons are equal to that of square of corresponding
equivalent masses .that is :

5.1 , _{}

_{}

That is _{}_{}_{}

Here
using _{}expresses gravitational energies feedback between these two
protons, and _{}

5.2 , _{}

When _{} = 1 , we get _{}

When _{}, we get _{}

5.3 , _{}

_{}

(
here _{})

When
_{} = 1 , we get _{}

When
_{} , we get we
get:

_{}.

5.4 , _{}

_{}

Being written here , I put my pen aside ,
looking out of window ,gazing at sky and thinking : by using this method of
space-time analysis , besides keeping in accordance with fundamental principles
of physics and observation of objective fact and datum , we indeed find some
places in the universe where we do have not ever touched yet and do have
discovered some essence of the universe . It is almost categorically certain
that following this suit , we can
make more discoveries against the universe.

Since CST contains all messages of the
universe , only endeavor need we down the road and decode these messages which
unveil gene map of pedigree of the universe. For instance ,

How does time of the universe
being created?

Why time has capacity of reaching
anywhere in the universe at same moment and ubiquity?

How the universe can reconstruct
entropy and send them back in terms of time？

Where have things happened in the
past gone ?

Who or What govern the universe
ultimately?

** ……**

I have been looking forward to
have an appropriate chance to grind them with scientists together.

The subject is **“G Bubble” Burst and the Universe Being
Created **

**
** The
end of this paper

Original
version written in Jun 29 ,2005 ,

Amended in July , 2006 ,

Reference Index

1 , ref. 1:

Longdao Xu , Dictionary of Physics
,

2 , ref.2

Zheng Zhao , Black Hole and Curved
Space-Time ,

ShanxiScience and Technology Press
, 2000.

3 , ref.3:

Bingxing Shi , Quantum Physics ,