de Sitter Relativity and Quantum Physics
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 As a consequence, ordinary Poincaré special relativity is no longer valid and must be replaced by a de Sitter special relativity.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.
- Publication:
-
Quantum Theory: Reconsideration of Foundations-4
- Pub Date:
- December 2007
- DOI:
- 10.1063/1.2827302
- arXiv:
- arXiv:0710.0610
- Bibcode:
- 2007AIPC..962..175A
- Keywords:
-
- 03.65.Ta;
- 03.30.+p;
- 04.62.+v;
- Foundations of quantum mechanics;
- measurement theory;
- Special relativity;
- Quantum field theory in curved spacetime;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 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