Modified Entanglement Patterns in Two-Flavor Neutrinos from Quantum-Gravity Interactions

In this work, we investigate the influence of quantum-gravity induced corrections on the entanglement entropy associated with two-flavor neutrino oscillations in vacuum. Using the von Neumann entropy as a measure of quantum correlations, we analyze how Planck scale suppressed modifications implemented through quantum-gravity motivated changes to the neutrino dispersion relation affect the evolution of entanglement during successive oscillation cycles. By performing a statistical analysis over a range of oscillation lengths and neutrino energies, we identify characteristic deviations in the entropy profile arising from quantum-gravity effects. Our results suggest that entanglement entropy provides a sensitive probe of small quantum-gravity induced departures from standard neutrino oscillation dynamics, highlighting its potential role in testing Planck-scale physics within neutrino phenomenology.