Maximal-acceleration phase space relativity from Clifford algebras

Details Maximal-acceleration phase space relativity from Clifford algebras Maximal-acceleration phase space relativity from Clifford algebras

2002-08-20

arxiv.org/abs/hep-th/0208138v2

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, revised Latex file

Scientific paper

We present a new physical model that links the maximum speed of light with the minimal Planck scale into a maximal-acceleration Relativity principle in the spacetime tangent bundle and in phase spaces (cotangent bundle). Crucial in order to establish this link is the use of Clifford algebras in phase spaces. The maximal proper-acceleration bound is a = c^2/ \Lambda in full agreement with the old predictions of Caianiello, the Finslerian geometry point of view of Brandt and more recent results in the literature. We present the reasons why an Extended Scale Relativity based on Clifford spaces is physically more appealing than those based on kappa-deformed Poincare algebras and the inhomogeneous quantum groups operating in quantum Minkowski spacetimes. The main reason being that the Planck scale should not be taken as a deformation parameter to construct quantum algebras but should exist already as the minimum scale in Clifford spaces.

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