Discrete O(1,4) transformations and new scalar quantum modes on the De Sitter spacetime
Pages 38-42
Ion I. Cotăescu
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.