My (Discovered) Unified Field Theory
George Gamow in his book “Thirty Years That Shook Physics” states the following. “It was once suggested by Dirac that Newton’s “constant of gravity” is not really a constant but a variable which decreased in inverse proportion to the age of the Universe. And he may very well be right!”
Dirac never discovered a viable model that worked. I have.
I can confidently state the following.
All the fundamental laws or principles of physics are based upon a geometric expansion of Spacetime.
The following properties of nature are predicted.
1. The inverse square law as a property of spacetime
2. The principles of Conservation of momentum and conservation of Energy are geometrically determined.
3. The speed of light is geometrically determined by an extra dimensional expansion which also produces the E = mcc relationship.
4. The relationships of Quantum Physics are the result of the probabilistic expansion of space-time a “grain” at a time.
5. Since the model predicts physical properties of quantum physics and the inverse square law, the long sought for theory that unites quantum physics with gravitational physics is realized. What Einstein and so many others tried to do is now done. (I am being a bit brash, but I think it is the only way I can get some attention. The mainstream will just ignore me otherwise.)
6. The model is consistent with the observations and relationships associated with Special and General Relativity but the geometry is significantly different.
7. It resolves many of the astrophysical problems associated with the big bang.
8. No dark energy and no dark matter are needed.
The basic geometry can be described in two parts, but both parts are based upon the same set of field equations.
The basic geometry; Part 1
First a few definitions.
There are two dimensions of time.
Relative time - This is the time interval between points as expressed by the speed of light. It is also the local measure of intervals of time.
Absolute time - Also called Cosmic time or more meaningfully, Historical time. This dimension of time demarcates a point’s location historically. The movement of creation (The big bang if you wish) marks the beginning of time and from that moment on every location in spacetime has a unique moment in history. We each occupy a unique place in time that no one else can ever have. This is truly a unique independent measure of time.
The basic geometry
A volume of spacetime varies to the square of the absolute time elapsed. If you double the age of the universe the volume enclosed increased 4 times. Simple isn’t it.
This is a uniform expansion, which means that everything is expanding at this rate, even rulers. Traditionally such an expansion has been argued as being trivial, if everything remains proportionally the same, nothing has changed. However, objects in the past would be denser and thus the effect of gravity would be more powerful in the past. If the Earth were 1/2 it’s present diameter, the effect of gravity on the surface would be increased 4 times. The effect of gravity diminishes with the passage of time, just as Dirac and Gamow believed.
S = Volume of Spacetime
S == T^2
The volume of any object is a distance measure cubed times some constant,
D^3 x k = S = A Volume of spacetime. Combining the relationships results in the following
D^3 = k T^2
[size=3]Note; this is the exact form of Kepler’s Law.
Actually, the theoretical model truly produces Kepler’s law. It will be shown that this is indeed the relationship predicting the inverse square law required for celestial stability. Kepler’s law, which was experimentally established, is now theoretically predicted from a geometric model. Epistemologically, this is as important a relationship as E= mcc, or e = hv
Rewriting the above equation we get
D = k T^(2/3)
Taking the first derivative with respect to absolute time we get how the absolute velocity will vary for two points in spacetime
V = k (2/3) / T^1/3
Similarly for Acceleration we get
A = (-k 2/9)/T^(4/3)
We do not know the value for k but since this is a geometrically described rate of expansion it is possible to state that at a particular time, T1, points in spacetime are a particular distance D1. Similarly at another later time, T2, the objects are at location D2. Dividing the two relationships by each other eliminates the constants resulting in
D1/D2 = (T1/T2)^(2/3)
Similarly for Velocity and Acceleration we get
A2/A1 = (T1/T2)^(4/3)
These formulas are actually field formulas in that they describe, in absolute measures, the properties of an object when associated with a point in free space. (Free space means that no other unaccounted force is acting.)
The Ratios of Time
(Capitol letters indicate “absolute measures”, 1 and 2 are earlier and later measures respectively)
D1/D2 == (T1/T2)^(2/3)
V2/V1 == (T1/T2)^(1/3)
A2/A1 == (T1/T2)^(4/3)
E2/E1 == (T1/T2)^(1/3)
E = energy, which for now can be considered just the square of the velocity term but this relationship is valid for all forms of energy.
There are two important checks that need to be made; will celestial stability be preserved and will relative measures of time be preserved.
Celestial Stability and the Laws of Physics.
Two objects proportionally expanding maintain their relative distances so it is only from an “eye of God” perspective that such an expansion can be visualized. The laws of physics should be consistent, irregardless of the observer’s perspective. The question is, will such an expansion preserve celestial stability for both an “absolute” observer and a “relative” observer? If the Earth were expanded away from the Sun, the Gravitational Force would be reduced more than the Centrifugal force, resulting in the destruction of the solar system. Any theoretical expansion must preserve celestial stability for both the “eye of mankind” and the “eye of God”.
Centrifugal force must equal Gravitational force; The laws of physics are consistent.
Assuming two orbiting systems start with a stable orbit, will the stability be preserved by absolute measures?
Centrifugal force varies as
CF = = V^ 2/R
Gravitational Force varies as
GF = = 1/ R^2
== means proportional to, for the masses involved
Centrifugal force must equal Gravitational Force for stability
CF = GF
V^ 2/R = 1/ R^2
According to the Ratio of times formulas, the absolute velocity and absolute distance varies over the passage of absolute time. If one plugs in how the proposed measures of absolute velocity and absolute distance vary over time, it is found that the necessary celestial balance is preserved no matter what two measures of T1 and T2 are considered.
Centrifugal Force1/Centrifugal Force2 =
Gravitational Force1/Gravitational Force2, which =
(V1/V2)^2/(D1/D2) = (D2/D1)^2
Substituting the ratios of time field temporal relationship for the velocity ratios, and for the Distance ratios, transforms
(V1/V2)^2/(D1/D2) = (D2/D1)^2 , to
((T2/T1)^(1/3))^2 / (T1/T2)^(2/3) = ((T2/T1)^(2/3))^2
(T2/T1)^(4/3) = (T2/T1)^(4/3)
(I used a slight “trick” here, I wonder if anyone catches it. Hint, it is not in the algebra, it is in the application of the relationships).
Theoretical model produces inverse square law structure of spacetime
Newton’s Law of Gravitation establishing the inverse square law for gravity is experimentally derived. Similarly the inverse square law observed for electromagnetic and electrostatic relationships are experimentally established. It is not based upon a theoretical model. For example, Einstein’s Energy equation, E = mcc, was theoretically derived, it was not initially determined by experimental observations. The proposed geometric model does predict inverse square relationships for spacetime.
The proof, deriving the inverse square law
According to the uniform expansion model
A1/A2 = (T2/T1)^4/3 and R2/R1 = (T2/T1)^2/3
From the above equation it can be seen that by squaring the relationship that predicts how the radius between two objects changes with the expansion of spacetime will produce the same relationship that predicts the acceleration associated with the same points. Acceleration varies according to the square of the distance measures.
(R2/R1)^2 =( (T2/T1)^2/3 )^2 = A1/A2 = (T2/T1)^4/3
This theoretical model produces a field structure that is consistent with producing the inverse square relationships of space-time.
Actually the inverse square law is being predicted. A geometric model is producing the inverse square laws as a property of spacetime.
Preserving Relative measures of time.
It is easy to see that a uniform expansion maintains relative distance measures; proportionally everything remains the same. Our relative measure of time is another matter, for this model to be correct, all relative measure of time must also keep their relative measures. From an Absolute perspective outside the expansion, relative time is slowing down, but since all relative measures of time are all slowing down at the same rate, relative measures of time are perceived as constant.
In order to preserve a constant measure of relative time, all clocks or physical processes, according to Absolute measures, must also slow down at the same exact rate.
Lets see if this is true
First a light clock
Imagine a light clock, which is simply a tube with mirrors on each end, with some kind of source and a detector. The time it takes for light to travel a cycle in the tube describes and interval of time. According to the proposed relationships, in absolute measures, the velocity of light slows over the passage of cosmic time as well as the length of the tube increases. This means that a relative interval of time is slowing down in absolute measures.
If one looks at the relationships in a light clock, the relative intervals of time vary as
delta t2/delta t1 = T2/T1 ,
(The reader can derive this relationship. Use the Ratio of Times formulas for V for the speed of light and the length of the light clock).
If the age of the universe were to double, the absolute measure of time associated with a cycle in the light clock would also double. (The speed of light “slows” and the length of the clock increased.).
If one applies the Ratio of Times formulas to an orbiting system, the same change in relative intervals would be found, double the age of the universe and it the absolute orbital interval takes twice as long, based on absolute measures, to complete the orbit.
If one applies the Ratio of Times formulas to a pendulum, even though the form of the equations are drastically different, the same exact slowing exists, double the age of the universe and it takes twice as long for a pendulum to swing a cycle.
If one considers a spinning planet, the same time relationships are predicted. Double the age of the universe and it takes twice as long to describe a revolution.
No matter what system is considered, even ones that require relativistic considerations, the relative measure always remain locally the same.
Using a geometric model that is based upon an “eye of God” perspective, some very fundamental relationships are being established. Relative clocks are keeping their relative measures. This corresponds to establishing the principles of conservation of momentum and conservation of energy. All relative measures of distance and time are established and conform to a geometric expansion of spacetime using an “Eye of God” perspective.
“Before God we are equally wise – and equally foolish”