de Sitter Relativity and Quantum Physics

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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To appear in "Quantum Theory: Reconsideration of Foundations 4", 11-16 June 2007, Vaxjo University, Sweden (AIP Conference Pro

Scientific paper

10.1063/1.2827302

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 As a consequence, ordinary Poincare' special relativity is no longer valid and must be replaced by a de Sitter special relativity.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.

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