Abstract: A brief tour of the developments of the Extended Relativity Theory in Clifford Spaces (C-space) is presented. These include : (i) Novel physical consequences like generalized dispersion relations, energy-dependent speed of light propagation, extended Lorentz transformations, relative locality, generalized Weyl-Heisenberg algebra and uncertainty relations, tensionless branes, superluminality, generalized velocities. (ii) Generalized areal, volume, ··· metrics and gravitational field equations in C-space. (iii) A unified description of particles, strings and branes. (iv) Clifford gravity based cosmology and dark energy. (v) Moyal deformations of Clifford gauge theories of gravity. (vi) N-ary algebras. We conclude with a brief discussion on symplectic Clifford algebras and generalized geometries.
Title: Developments of the Extended Relativity Theory in Clifford Spaces
Author: Carlos Castro Perelman, perelmanc_AT_hotmail.com, Center for Theoretical Studies of Physical Systems, Clark Atlanta University, Atlanta;
Download (free preprint): http://vixra.org/pdf/1805.0070v1.pdf
Keywords: Clifford algebras; Extended Relativity Theory in Clifford Spaces; String theory; M-theory; Generalized geometries.
Source: Email from C. Castro, perelmanc_AT_hotmail.com, 08/05/2018 18:45, http://vixra.org/pdf/1805.0070v1.pdf