A phenomenological 10-dimension space-time model


The possibility of a description of the fundamental interactions of physics, including gravitation, based upon the assumption of 6 real extra dimensions is presented. The usual 4-dimension space-time, a curved surface with the Lorentz group as local symmetry, is embedded in a larger flat 10-dimension space. Through a fundamental assumption about the geometry of the orthogonal 6-d space in every point of the 4-d surface, there are two possibilities for classifying the physical states, corresponding to two types of particles: 1) hadrons, experiencing a gauge field associated to a real symmetry group GH(6), isomorphous to SU(3), which is identified with the strong interaction, and 2) leptons experiencing another gauge field associated with a real symmetry group GL(6), isomorphous to SU(2) × U(1) but different from the usual electroweak coupling. In addition, both hadrons and leptons are subject to weak and electromagnetic interactions plus a scalar BEH-like coupling, with the respective real symmetries SO(3), SO(2), SO(1), isomorphous to SU(2), U(1), I(1). This description can be extended so as to include gravitation; postulating a minimal Lagrangian in the full 10-d space, the equations of motion are derived. They imply the existence of a set of additional vector-type fields which do not act the same way upon hadrons and leptons, thus inducing a violation of the equivalence principle.

Share and Cite:

Bonneville, R. (2014) A phenomenological 10-dimension space-time model. Natural Science, 6, 211-218. doi: 10.4236/ns.2014.64025.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Isham, C. (1995) Structural issues in quantum gravity.
[2] Fayet, P. (1996) The standard model and beyond. History of Original Ideas and Basic Discoveries in Particle Physics, Proceedings of Erice Conference, Plenum Press, New York.
[3] Randall, L. and Sundrum, R. (1999) Large mass hierarchy from a small extra dimension. Physical Review Letters, 83, 3370. http://dx.doi.org/10.1103/PhysRevLett.83.3370
[4] Raby, S. (2004) Grand unified theories. In: Eidelman, S. et al., Ed., The Review of Particle Physics, Physical Letters B, 592, 1.
[5] Giudice, G.F. and Wells, J.D. (2006) Extra dimensions. In: Yao, W.-M., et al., Review of Particle Physics, 33, 1.
[6] Marolf, D. (2004) Resource letter NSST-1: The nature and status of string theory.
[7] Dupays, A., Lamine, B. and Blanchard, A. (2013) A&A, A60, 554.
[8] Berestetski, V., Lifchitz, E. and Pitayevski, L. (1967) Relativistic quantum theory, Part 1, MIR ed., Moscow.
[9] Hammermesh, M. (1964) Group theory. Addison-Wesley.
[10] Lifchitz, E. and Pitayevski, L. (1967) Relativistic quantum theory, Part 2, MIR ed., Moscow.
[11] T’Hooft, G. and Veltman, M.J.G. (2000) A confrontation with infinity: From weak interactions to gravitation. Review of Modern Physics, 72, 333-349.
[12] Weinberg, G. (1974) Recent progress in gauge theories of the weak, electromagnetic and strong interactions. Review of Modern Physics, 46, 255-277.
[13] Witten, E. (1981) Search for a realistic Kaluza-Klein theory. Nuclear Physics, B186, 412.
[14] Damour, T. (1996) Testing the equivalence principle: Why and how? Proceedings of Fundamental Physics in Space Symposium (London), Classics of Quantum Gravity, 13, 33-41.

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.