de Sitter Symmetry and Quantum Theory

Abstract

de Sitter symmetry on quantum level implies that operators describing a given system satisfy commutation relations of the de Sitter algebra. This approach gives a new perspective on fundamental notions of quantum theory. We discuss applications of the approach to the cosmological constant problem, gravity, and particle theory.

14 pages, no figures. A revised version published in Physical Review D

References in corpus (2)

• Introduction to a Quantum Theory over a Galois Field
• Positive Cosmological Constant and Quantum Theory

Cited by in corpus (8)

• Finite Mathematics, Finite Quantum Theory And A Conjecture On The Nature Of Time
• Solving particle-antiparticle and cosmological constant problems
• Cosmological Acceleration as a Consequence of Quantum de Sitter Symmetry
• Fundamental Quantal Paradox and its Resolution
• Why Finite Mathematics Is The Most Fundamental and Ultimate Quantum Theory Will Be Based on Finite Mathematics
• Finite Mathematics, Finite Quantum Theory and Applications to Gravity and Particle Theory
• Main problems in constructing quantum theory based on finite mathematics
• Existence of Antiparticles as an Indication of Finiteness of Nature