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arXiv · 0710.0610

de Sitter Relativity and Quantum Physics

R. Aldrovandi·J. P. Beltran Almeida·C. S. O. Mayor·J. G. Pereira
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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 As a consequence, ordinary Poincare' special relativity is no longer valid and must be replaced by a de Sitter special relativity.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.

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R. Aldrovandi, J. P. Beltran Almeida, C. S. O. Mayor, J. G. Pereira. 2007-10-02. de Sitter Relativity and Quantum Physics. https://doi.org/10.1063/1.2827302

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