Neutrino spin oscillations in gravitational fields in non-commutative Spaces

TL;DR

This paper investigates how non-commutative geometry affects neutrino spin oscillations in gravitational fields, revealing that non-commutativity modifies oscillation frequencies and is bounded by fundamental length scales.

Contribution

It provides a novel analysis of neutrino spin oscillations in non-commutative spaces within Schwarzschild and Reissner-Nordstrom metrics, highlighting the impact of non-commutativity on oscillation frequencies.

Findings

Maximum oscillation frequency decreases with noncommutativity in Schwarzschild space.

In Reissner-Nordstrom space, the frequency increases with noncommutativity.

Noncommutativity parameter is constrained to be less than 0.1 times the Planck length.

Abstract

We study neutrino spin oscillations in gravitational fields in non-commutative spaces. For the Schwarzschild metric the maximum frequency decreases with increasing the noncommutativity parameter. In the case of Reissner-Nordstrom (RN) metric, the maximum frequency of oscillation is a monotonically increasing function of the noncommutativity parameter .In both cases, the frequency of spin oscillations decreases as the distance from the gravitational source grows. We present a phenomenological application of our results. It is also shown that the noncommutativity parameter is bounded as 0.1 l_p.