The Clifford Space Geometry of Conformal Gravity and U(4) × U(4) Yang-Mills Unification
by Carlos Castro
Center for Theoretical Studies of Physical Systems
Clark Atlanta University, Atlanta, GA. 30314,
castro@ctps.cau.edu
Submitted to Journal of Mathematical Physics, April 2009
Abstract
It is shown how a Conformal Gravity and U(4)×U(4) Yang-Mills Grand Unification model in four dimensions can be attained from a Clifford Gauge Field Theory in C-spaces (Clifford spaces) based on the (complex) Clifford Cl(4,C) algebra underlying a complexified four dimensional spacetime (8 real dimensions). Upon taking a real slice, and after symmetry breaking, it leads to ordinary Gravity and the Standard Model in four real dimensions. A brief conclusion about the Noncommutative star product deformations of this Grand Unified Theory of Gravity with the other forces of Nature is presented.
Keywords: C-space Gravity, Clifford Algebras, Grand Unification.
Source: Email by C. Castro (18 April 2009),
http://www.scribd.com/doc/14363314/The-Clifford-Geometry-of-Grand-Unification-with-Gravity-
