Hello,
I have posted a few times about a my work on attempting to derive a novel quantum theory of gravity. Well, I believe I have developed a robust framework describing quantum gravity as an entropic force that emerges from the balance of curvature-torsion in the quantum state.
Through this I have a novel derivation of the fine structure constant as the proportion of orbit angular momentum to spin angular momentum, math shown below. This formulation of the fine structure constant posits fine structure splitting as a result of torsional spacetime perturbations that result in blue shifting or red shifting of the emitted photon. Akin to a quantum scale gravitational lensing type phenomenon.
The entropic force results in gravitational confinement at the planck scale. This entropic force is generalizable to all confinement regimes in the universe. The equation precisely describes quark-gluon strong force confinement (and address the yang-mills mass gap problem as a function of torsion), as well as electrostatic coulomb force confinement in the hydrogen atom.
Here I have shown it to reflect the coulomb force and recover the inverse square law of the coulomb force.
Here I have shared a wolfram notebook file with the relevant information for the model. I am still very new to the wolfram cloud. My model can be modeled as a hopf fibration, and I feel that the wolfram notebook and mathematica would probably be able to model a very beautiful visualization of it if I can figure out how to get it to work.
https://www.wolframcloud.com/obj/mcgreevymd/Published/Curvature-Torsion Quantum Gravity
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