General Relativistic Effects of Gravity in Quantum Mechanics -- A Case of Ultra-Relativistic, Spin 1/2 Particles --

TL;DR

This paper develops a relativistic quantum framework for ultra-relativistic spin-1/2 particles in Kerr spacetime, analyzing gravitational effects on phenomena like neutrino oscillations with new corrections.

Contribution

It introduces a general relativistic Weyl equation for spin-1/2 particles in weak gravitational fields, extending previous models to include gravitational effects on neutrino oscillations.

Findings

Derived a Weyl equation with relativistic corrections in Kerr spacetime

Calculated gravitational phase shifts for neutrino oscillations

Compared results with previous models, highlighting new effects

Abstract

We present a general relativistic framework for studying gravitational effects in quantum mechanical phenomena. We concentrate our attention on the case of ultra-relativistic, spin-1/2 particles propagating in Kerr spacetime. The two-component Weyl equation with general relativistic corrections is obtained in the case of a slowly rotating, weak gravitational field. Our approach is also applied to neutrino oscillations in the presence of a gravitational field. The relative phase of two different mass eigenstates is calculated in radial propagation, and the result is compared with those of previous works.