Quantum Physics

   

SunQM-7s2: The Possible Origins of the Relativistic Length Contraction, E=mc^2, and to Fuse the General Relativity’s Radial Contraction with the Non-Linear {N,n} QM

Authors: Yi Cao

The newly established {N,n} QM includes the Bohr-QM based part (see in SunQM-1 series, SunQM-2, SunQM-5 series, and SunQM-7), the Schrodinger-equation based part (see in SunQM-3 series and SunQM-4 series), and the {N,n} quantum field part (see in SunQM-6 series). In SunQM-7s1, I used r’rθφ-4D orbital motion to explain the origins of the lightspeed and the constancy of the lightspeed in our universe. In the current article, first, by degenerating a xy-2D circular motion into a x-1D oscillational motion (that mimic a degeneration of a r’rθφ-4D motion into a rθφ-3D motion), I was able to deduce out the Lorentz transformation equation in 3D. From this, I hypothesized that the projection of a group of "4D thermal motion" in a 3D space may be the origin of both the special relativity’s length contraction (SR L-contraction), and general relativity’s radial contraction (GR R-contraction). Second, I showed that on a black hole (BH) surface, the rθφ-3D space may be degenerated into a 1D space (for the velocity), and this 1D space may can be treated as either a r-1D space or a φ-1D space (as you like). Third, using "4D thermal oscillation" (and with several examples), I explained the possible origin of the E = mc^2. Fourth, many kinds of non-linear {N,n} QM effects (that I encountered during the {N,n} QM development, and that may or may not relate to the GR R-contraction) were listed. Furthermore, I was able to construct the non-linear {N,n//q} QM structure near a BH (where q = 6 increased to q = ∞) by fusing the GR R-contraction calculation into the non-linear {N,n//q} QM structure’s calculation. This is a huge achievement in unifying the relativity theory to the {N,n} QM theory. Fifth, (Like that the nLL state vs. nL0 state is a pair of brand new parameters in the physics to describe the RF character), the difference between SR L-contraction and GR R-contraction could be another pair of parameters in the physics to describe the relativistic character. Sixth, by using "4D thermal oscillators", I was able to explain the slower speed of the outmost shell of the 3D wave packet for a propagating photon. Finally, because of its completeness and self-consistence, I do believe that the {N,n} QM is qualified to be put into the "Feynman Pool" as one of the many co-existing QM theories.

Comments: 31 Pages.

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Submission history

[v1] 2024-08-12 19:31:14

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