Klein-Gordon-Fock equation from Einstein general relativity

Vo Van Thuan

Abstract


A time-space symmetry based cylindrical model of geometrical dynamics was proposed. Accordingly, the solution of Einstein gravitational equation in vacuum has a duality: an exponential solution and a wave-like one.  The former leads to a "microscopic" cosmological model with Hubble expansion. Due to interaction of a Higgs-like cosmological potential, the original time-space symmetry is spontaneously broken, inducing a strong time-like curvature and a weak space-like deviation curve.  In the result, the wave-like solution leads  to Klein-Gordon-Fock equation which would serve  an explicit approach to the problem of consistency between quantum mechanics and general relativity.

Keywords


time-space symmetry, general relativity, microscopic cosmological model, wave-like solution, Klein-Gordon-Fock equation.

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References


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DOI: https://doi.org/10.15625/0868-3166/26/2/7866 Display counter: Abstract : 70 views. PDF : 19 views.

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