Quantum Gravity and String Theory

    

On Some Novel Consequences of Clifford Space Relativity Theory

Authors: Carlos Castro

Some of the novel physical consequences of the Extended Relativity Theory in $C$-spaces (Clifford spaces) are presented. In particular, generalized photon dispersion relations which allow for energy-dependent speeds of propagation while still $retaining$ the Lorentz symmetry in ordinary spacetimes, while breaking the $extended$ Lorentz symmetry in $C$-spaces. We analyze in further detail the extended Lorentz transformations in Clifford Space and their physical implications. Based on the notion of ``extended events" one finds a very different physical explanation of the phenomenon of ``relativity of locality" than the one described by the Doubly Special Relativity (DSR) framework. We finalize with a discussion of the modified dispersion relations, rainbow metrics and generalized uncertainty relations in $C$-spaces which are extensions of the stringy uncertainty relations.

Comments: 12 Pages. Based on a plenary talk at the 10-th International Clifford Algebra Conference in Tartu, Estonia, August 2014

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[v1] 2014-11-09 01:18:30

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