de Sitter Relativity and Quantum Physics
R. Aldrovandi, J. P. Beltran Almeida, C. S. O. Mayor, J. G. Pereira
TL;DR
This paper explores how a non-zero cosmological constant modifies special relativity into de Sitter relativity, analyzing particle geodesics and implications for quantum mechanics in curved spacetime.
Contribution
It introduces a framework replacing Poincare' relativity with de Sitter relativity, analyzing particle kinematics and potential quantum effects in curved spacetime.
Findings
De Sitter spacetime alters particle geodesics and momenta.
Implications for quantum mechanics include modified kinematic structures.
Provides a geometric interpretation of the cosmological constant in relativity.
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 As a consequence, ordinary Poincare' special relativity is no longer valid and must be replaced by a de Sitter special relativity.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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