The Modern Induced Matter Approach of General Relativity for Quantum Mechanics

Vo Van Thuan, Nguyen Thi Kim Thoa
Author affiliations


  • 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



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


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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How to Cite

V. V. Thuan and N. T. K. Thoa, The Modern Induced Matter Approach of General Relativity for Quantum Mechanics, Comm. Phys. 26 (2017) 209. DOI:



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