Derivation of Klein-Gordon-Fock equation from General relativity in a time-space symmetrical model
General Physics
2016-05-13 v2
Abstract
Following a bi-cylindrical model of geometrical dynamics, in the present study we show that Einstein gravitational equation leads to bi-geodesic description in an extended symmetrical time-space which fit Hubble expansion in a "microscopic" cosmological model. As a duality, the geodesic solution is mathematically equivalent to the basic Klein-Gordon-Fock equations of free massive elementary particles, in particular, as the squared Dirac equations of leptons and as a sub-solution with pseudo-axion. This result would serve an explicit approach to consistency between quantum mechanics and general relativity.
Keywords
Cite
@article{arxiv.1604.05164,
title = {Derivation of Klein-Gordon-Fock equation from General relativity in a time-space symmetrical model},
author = {Vo Van Thuan},
journal= {arXiv preprint arXiv:1604.05164},
year = {2016}
}
Comments
10 pages, LaTeX; typos revised, section 3 rearranged into sections 3 and 4, arguments added in section 4, results unchanged