TITLE:
A phenomenological 10-dimension space-time model
AUTHORS:
Richard Bonneville
KEYWORDS:
Extra-Dimensions; Phenomenology
JOURNAL NAME:
Natural Science,
Vol.6 No.4,
February
28,
2014
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.