ar X iv : 0 71 0 . 06 10 v 1 [ gr - q c ] 2 O ct 2 00 7 de Sitter Relativity and Quantum Physics
نویسنده
چکیده
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 As a consequence, ordinary Poincaré special relativity is no longer valid and must be replaced by a de Sitter special relativity.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.
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