Abstract
The crucial feature of the de Sitter quantum theory is that a particle and its antiparticle belong to the same irreducible representation of the de Sitter algebra. This implies that the notion of particle-antiparticle is valid only in special situations, and such physical quantities as the electric charge, baryon and lepton quantum numbers can be only approximately conserved. It is also shown that the cosmological acceleration is simply a consequence of quantum de Sitter symmetry in semiclassical approximation, and for explaining this phenomenon there is no need to involve dark energy, empty space-time background and other artificial notions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Lev, F. (2020). Basic Properties of dS Quantum Theories. In: Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory. Springer, Cham. https://doi.org/10.1007/978-3-030-61101-9_3
Download citation
DOI: https://doi.org/10.1007/978-3-030-61101-9_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-61100-2
Online ISBN: 978-3-030-61101-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)