Dirac equation in a de Sitter expansion for massive neutrinos from modern Kaluza-Klein theory

TL;DR

This paper explores how a 5D Kaluza-Klein framework influences the Dirac equation for massive neutrinos in a de Sitter universe, revealing that neutrino masses are constrained to three specific values due to extra-dimensional effects.

Contribution

It introduces a novel analysis of neutrino masses within a 5D Kaluza-Klein model, linking extra-dimensional geometry to neutrino mass spectrum in a de Sitter background.

Findings

Neutrino effective masses are limited to three possible values.

Mass values are determined by the static foliation of the extra dimension.

The model connects higher-dimensional geometry with neutrino mass properties.

Abstract

Using the modern Kaluza-Klein theory of gravity (or the Induced Matter theory), we study the Dirac equation for massive neutrinos on a de Sitter background metric from a 5D Riemann-flat (and hence Ricci-flat) extended de Sitter metric, on which is defined the vacuum for test massless 1/2-neutral fields minimally coupled to gravity and free of any other interactions. We obtain that the effective 4D masses of the neutrinos can only take three possible values, which are related to the (static) foliation of the fifth and noncompact extra dimension.