The Modern Induced Matter Approach of General Relativity for Quantum Mechanics

Vo Van Thuan, Nguyen Thi Kim Thoa
Author affiliations

Authors

  • Vo Van Thuan Vietnam Atomic Energy Institute (VINATOM)
  • Nguyen Thi Kim Thoa Physics Faculty, Hanoi National University of Education, 136 Xuan Thuy, Dich Vong Hau, Cau Giay, Hanoi, Vietnam

DOI:

https://doi.org/10.15625/0868-3166/26/3/8956

Keywords:

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

Abstract

Wesson and his co-workers developed so-called space-time-matter theory (5D-STM) as a generalization of Kaluza-Klein theory, where the extra-dimension in the 5D space-time is no more compacted, but keeping extended in a macroscopic scale to describe the properties of matter in 4D physics. In a trend of 5D-STM approach (or the induced-matter theory), following a bi-cylindrical model of geometrical dynamics, a recent study has shown that the higher 6D-dimensional gravitational equation leads to bi-geodesic description in an extended timespace symmetry which fits 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. The 4D-embedded dual solutions of the higher dimensional gravitational equation could shed light on origin of physical reality in quantum mechanics, which is to compare with the achievements of the 5D-STM theory.

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References

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Published

08-02-2017

How to Cite

[1]
V. V. Thuan and N. T. K. Thoa, “The Modern Induced Matter Approach of General Relativity for Quantum Mechanics”, Comm. Phys., vol. 26, no. 3, p. 209, Feb. 2017.

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Papers
Received 04-12-2016
Accepted 25-01-2017
Published 08-02-2017