de Sitter Relativity and Quantum Physics
arXiv:0710.0610 · doi:10.1063/1.2827302
Abstract
In the presence of a cosmological constant, interpreted as a purely geometric entity, absence of matter is represented by a de Sitter spacetime. As a consequence, ordinary Poincare' special relativity is no longer valid and must be replaced by a de Sitter special relativity. By considering the kinematics of a spinless particle in a de Sitter spacetime, we study the geodesics of this spacetime, the ensuing definitions of canonical momenta, and explore possible implications for quantum mechanics.
To appear in "Quantum Theory: Reconsideration of Foundations 4", 11-16 June 2007, Vaxjo University, Sweden (AIP Conference Proceedings, ed. by G. Adenier, A. Khrennikov and T. Nieuwenhuizen). 10 pages
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- De Sitter Special Relativity: Effects on Cosmology
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- Particle-antiparticle duality from an extra time-like dimension
- Complexifying the spacetime algebra by means of an extra timelike dimension: Pin, Spin and algebraic spinors
- Double-extended Kerr-Schild form for electrovacuum solutions
- Solvable two-particle systems with time-asymmetric interactions in de Sitter space
- Electrodynamics in flat spacetime of six dimensions