The Modern Induced Matter Approach of General Relativity for Quantum Mechanics
Author affiliations
DOI:
https://doi.org/10.15625/0868-3166/26/3/8956Keywords:
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.Downloads
Metrics
References
T.Kaluza, Sitz.Preuss.Akad.Wiss. 33, 966 (1921).
O.Klein, Z.f.Physik 37, 895 (1926). DOI: https://doi.org/10.1007/BF01397481
J.Maldacena, Adv.Theor.Math.Phys. 2, 231 (1998). DOI: https://doi.org/10.4310/ATMP.1998.v2.n2.a1
L.Randall and R.Sundrum, Phys. Rev. Lett. 83, 4690 (1999). DOI: https://doi.org/10.1103/PhysRevLett.83.4690
P.S.Wesson and J.Ponce de Leon, J.Math.Phys. 33, 3883 (1992). DOI: https://doi.org/10.1063/1.529834
B.Mashhoon, H.Liu, P.S.Wesson, Phys. Lett. B 331, 305 (1994). DOI: https://doi.org/10.1016/0370-2693(94)91057-X
Vo Van Thuan, IJMPA 24, 3545 (2009). DOI: https://doi.org/10.1142/S0217751X0904717X
V.Fock, Z.f.Physik 39, 226 (1926). DOI: https://doi.org/10.1007/BF01321989
Vo Van Thuan, Com.Phys. 25, 247 (2015), arXiv:1507.00251[gr-qc]2015. DOI: https://doi.org/10.15625/0868-3166/25/3/6147
Vo Van Thuan, arXiv:1510.04126[physics.gen-ph]2015.
Vo Van Thuan, Com.Phys. 26, 181 (2016), arXiv:1604.05164v2[physics-gen.ph]2016. DOI: https://doi.org/10.15625/0868-3166/26/2/7866
S.S.Seahra, P.S.Wesson, arXiv:0302015v4[gr-qc]2003.
P.S.Wesson, arXiv:0309134v1[gr-qc]2003.
P.S.Wesson, JMPD 24, 1530001-1 (2015). DOI: https://doi.org/10.1142/S0218271815300013
P.S.Wesson, Phys. Lett. B 701, 379 (2011). DOI: https://doi.org/10.1016/j.physletb.2011.05.038
P.S.Wesson, Phys. Lett. B 706, 1 (2011). DOI: https://doi.org/10.1016/j.physletb.2011.10.027
P.S.Wesson, Phys. Lett. B 722, 1 (2013). DOI: https://doi.org/10.1016/j.physletb.2013.04.005
P.S.Wesson, Space-Time-Matter: Modern higher-dimensional cosmology,World Scientific, 2nd Edition, Singapore,2007. DOI: https://doi.org/10.1142/6436
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with CIP agree with the following terms:- The manuscript is not under consideration for publication elsewhere. When a manuscript is accepted for publication, the author agrees to automatic transfer of the copyright to the editorial office.
- The manuscript should not be published elsewhere in any language without the consent of the copyright holders. Authors have the right to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal’s published version of their work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are encouraged to post their work online (e.g., in institutional repositories or on their websites) prior to or during the submission process, as it can lead to productive exchanges or/and greater number of citation to the to-be-published work (See The Effect of Open Access).
Accepted 25-01-2017
Published 08-02-2017
