Quantum Gravity and String Theory


Developments of the Extended Relativity Theory in Clifford Spaces

Authors: Carlos Castro

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, $\cdots$ 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.

Comments: 85 Pages.

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Submission history

[v1] 2018-05-03 01:28:34

Unique-IP document downloads: 87 times

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