vix.ing · top · new · best · stats · spec

Discrete O(1,4) transformations and new scalar quantum modes on the de Sitter spacetime

2011/05/31 by Ion I. Cotǎescu, Ion I. Cotaescu, Cotaescu, Ion I.
Engineering · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Sensor Technology #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.1105.6194

6 pages no figures

arxiv created 2011/05/31 · openalex publication_date 2011/05/31 · arxiv updated 2011/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that the isometry group of the de Sitter spacetime includes two different three-dimensional Abelian subgroups which transform between themselves through a discrete isometry corresponding to the time reversal in the five-dimensional Minkowski spacetime embedding the de Sitter one. The eigenfunctions of the generators of these Abelian subgroups form two different sets of quantum modes correlated by the mentioned isometry.

Related