Proving quantum-time

The Gauss-Newton Quantum-Relativity
The Quantum Theory of Relativity (gravitational case) GRqr.
Part 2 of 3.
1) Proving the The Quantum Theory of Relativity  (gravitational case) GRqr
Setting some explanatory hurdles.
1.1) Light slows in a transparent media.
Given the observed slowing of the wave-front within the glass, we can use the work of James Clerk Maxwell to explain that in order to pass through the glass and maintain wave phase cohesion at the material state boundaries, we must observe the refraction of the light beam.  This explains everything except why the wave-front slows in the first place.
In quantum physics we can use Planck's equation to explain that the quantum energy of each light quanta appears to gain energy within its transit through the glass. Of course, I must take responsibility here for explaining that the apparent quantum energy gain in glass transit is actually just a relativistic illusion. The wavelength is measured as shorter within the transparent media and that is actually a more helpful way to look at the same issue because it avoids discussion about the classical concept of light having a "speed" at all. So, another way to define this issue of light "slowing" in glass is to redefine the problem as explaining the apparent dilation of the wavelength within glass. In a nutshell, we can say that before the The Quantum Theory of Relativity became available to us, we held rather naive views about the nature of the gravitational space-time scale-compression-environment  within any transparent matter-field. 
1.2) The proton rms charge radius to gamma wave length discrepancy.
As a nucleon is crunched within the nucleus, following for instance nuclear fission, the proton emit quanta of gamma energy to balance their existence within a nucleus in a tighter strong force environment. A neutron has no mechanism for radiating electromagnetic energy and so The Quantum Theory of Relativity advises us to regard the nucleons as having dual identities as both protons and neutrons with a statistical probability of being in either proton or neutron state. Sketches of the nucleus showing fixed red balls and fixed blue balls are found to be most unhelpful. Clearly, every member of an over-excited and energy-unbalanced nucleus (at least at the nuclear surface) may "take its turn" at exhibiting the proton identity and radiating off its surplus energy. 
The proton rms charge radius to gamma wavelength discrepancy is so vast that physicists have, for 100-years, simply given up on attempting to explain this. We use different quantum energy models to explain this observed phenomenon and one must take one's hat off to this great work in quantum and particle energy physics. However, it is still necessary for us to explain the apparent size discrepancy. The Quantum Theory of Relativity rises to this challenge and effortlessly explains this observed phenomenon. Just as it is with the light wavelength in glass, the proton apparent size is seen from a fantastically naive view of the nature of the gravitational space-time scale-compression-environment close to and even within an atomic nucleus. 

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