On Some Novel Consequences of Clifford Space Relativity Theory
- 72 Downloads
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
Unable to display preview. Download preview PDF.
- 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