C. Castro: Clifford Algebraic Unification of Conformal Gravity with an Extended Standard Model


Carlos Castro, Clifford Algebraic Unification of Conformal Gravity with an Extended Standard Model, December 2015. Author address: Center for Theoretical Studies of Physical Systems, Clark Atlanta, GA. 30314

Download link: http://vixra.org/pdf/1601.0036v1.pdf

Abstract: A brief review of the basics of the Clifford Cl(5;C) Unied Gauge Field Theory formulation of Conformal Gravity and U(4) x U(4) x U(4) Yang-Mills in 4D is presented. A physically relevant subgroup is SU(2; 2) x SU(4)_C x SU(4)_L x SU(4)_R and which is compatible with the Coleman-Mandula theorem (in the absence of a mass gap). This proposal for a Clifford Algebraic Unification of Conformal Gravity with an Extended Standard Model deals mainly with models of four generations of fermions. Mirror fermions can be incorporated as well. Whether these mirror fermions are dark matter candidates is an open question. There are also residual U(1) groups within this Clifford group unification scheme that should play an important role in Cosmology in connection to dark matter particles coupled to gravity via a Bimetric extension of General Relativity. Other four generation scenarios based on Cl(6;R);Cl(8;R) algebras, Supersymmetric Field Theories and Quaternions are discussed.

Keywords: Clifford Algebras, Gravity, Yang-Mills, Grand Unification.

PACS 12.10.Dm; 12.10.-g; 12.15.-y; 11.30.-j.

Source: Email by C. Castro (perelmanc_AT_hotmail.com) on 06 Jan. 2016

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