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arXiv · 2604.02464

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

Bipin Singh Koranga·Baktiar Wasir Farooq·Y. Prem Kumar Singh
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Abstract

We investigate the influence of quantum-gravity (QG) induced corrections on the entanglement entropy associated with four-flavor neutrino oscillations in vacuum, incorporating an additional sterile neutrino in the (3+1) framework. Using the von Neumann entropy as a measure of quantum correlations, we analyze how Planck-scale suppressed modifications to the neutrino mass-squared differences and the extended mixing matrix affect the evolution of entanglement during successive oscillation cycles. The quantum-gravity corrections are implemented through a dimension-5 effective field theory operator that modifies the four-flavor PMNS matrix and all six mixing angles above the GUT scale. We find that the atmospheric mixing angle \theta_{23} undergoes the largest deviation due to Planck-scale effects, while angles \theta_{14}, \theta_{24}, and \theta_{34} remain essentially unchanged. The resulting QG-corrected oscillation probabilities produce characteristic deviations in the entanglement entropy profile as a function of L/E, providing a sensitive probe of Planck-scale physics within a four-flavor neutrino phenomenology framework.

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Bipin Singh Koranga, Baktiar Wasir Farooq, Y. Prem Kumar Singh. 2026-04-02. Modified Entanglement Patterns in Four-Flavor Neutrinos from Quantum-Gravity Interactions. https://arxiv.org/abs/2604.02464

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