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
Cite this paper
Bonneville, R. (2014) A phenomenological 10-dimension space-time model. Natural Science
, 211-218. doi: 10.4236/ns.2014.64025
 Isham, C. (1995) Structural issues in quantum gravity.
 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.
 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
 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
 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
 Marolf, D. (2004) Resource letter NSST-1: The nature and status of string theory.
 Dupays, A., Lamine, B. and Blanchard, A. (2013) A&A, A60, 554.
 Berestetski, V., Lifchitz, E. and Pitayevski, L. (1967) Relativistic quantum theory, Part 1, MIR ed., Moscow.
 Hammermesh, M. (1964) Group theory. Addison-Wesley.
 Lifchitz, E. and Pitayevski, L. (1967) Relativistic quantum theory, Part 2, MIR ed., Moscow.
 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.
 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
 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
 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.