Interplay of gravitation and linear superposition of different mass eigenstates

TL;DR

This paper explores how gravity influences neutrino oscillations, showing that gravitational effects modify oscillation phases and ensure consistency with Einstein's theory, with implications for astrophysical and atomic systems.

Contribution

It introduces a new set of neutrino oscillation phases induced by gravity and linear superposition, aligning flavor-oscillation clocks with Einstein's gravitational redshift.

Findings

Neutrino oscillation phases are affected by gravity.

Flavor-oscillation clocks redshift as per Einstein's theory.

Potential observability in solar neutrinos, supernovae, atomic systems.

Abstract

The interplay of gravitation and the quantum-mechanical principle of linear superposition induces a new set of neutrino oscillation phases. These ensure that the flavor-oscillation clocks, inherent in the phenomenon of neutrino oscillations, redshift precisely as required by Einstein's theory of gravitation. The physical observability of these phases in the context of the solar neutrino anomaly, type-II supernovae, and certain atomic systems is briefly discussed.