NS  Vol.6 No.4 , February 2014
A phenomenological 10-dimension space-time model
ABSTRACT

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.


Cite this paper
Bonneville, R. (2014) A phenomenological 10-dimension space-time model. Natural Science, 6, 211-218. doi: 10.4236/ns.2014.64025.
References
[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.
http://dx.doi.org/10.1016/j.physletb.2004.06.001

[5]   Giudice, G.F. and Wells, J.D. (2006) Extra dimensions. In: Yao, W.-M., et al., Review of Particle Physics, 33, 1.
http://dx.doi.org/10.1088/0954-3899/33/1/001

[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.
http://dx.doi.org/10.1103/RevModPhys.46.255

[13]   Witten, E. (1981) Search for a realistic Kaluza-Klein theory. Nuclear Physics, B186, 412.
http://dx.doi.org/10.1016/0550-3213(81)90021-3

[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.

 
 
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