2016/03/14 by Vo Van Thuan, Van Thuan, Vo
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.1604.05164
10 pages, LaTeX; typos revised, section 3 rearranged into sections 3 and 4, arguments added in section 4, results unchanged
openalex publication_date 2016/03/14 · arxiv created 2016/05/12 · arxiv updated 2016/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.