On Some Novel Consequences of Clifford Space Relativity Theory
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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 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.
KeywordsClifford algebras and Extended relativity in Clifford spaces Modified dispersion relations Rainbow metrics Generalized uncertainty principle
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- 3.Amelino-Camelia, G.; Freidel, L.; Kowalski-Glikman, J.; Smolin, L.: The principle of relative locality. arXiv.org:1101.0931
- 17.Nottale, L.: Fractal Space-time and Micro-physics. World Scientific, Singapore (1993)Google Scholar
- 18.Nottale, L.: Scale Relativity and Fractal Space-time: a New Approach to Unifying Relativity and Quantum Mechanics. World Scientific Publishing Company, Singapore (2011)Google Scholar
- 19.Pavsic, M.: The landscape of theoretical physics: a global view, from point particles to the brane world and beyond, in search of a unifying principle. In: Fundamental Theories of Physics, vol. 19. Kluwer, Dordrecht (2001)Google Scholar