Quantum geometric signatures in neutrino dynamics around a holonomy black hole
Abstract
We investigate three flavor neutrino phenomena in an effective holonomy corrected Schwarzschild geometry. We derive the weak-deflection angle through second post-Minkowskian order, obtain the semiclassical phases along radial and nonradial trajectories, and formulate the two-image flavor probability by including magnifications, Fermat phases, and wave packet overlap. The cross path phase acquires a logarithmic holonomy contribution and can retain information about the absolute neutrino mass scale. We also characterize flavor mode correlations and trajectory-flavor entanglement through the balance among path predictability, interference visibility, and I-concurrence. Neutrino-antineutrino annihilation outside an effective neutrinosphere is examined, with holonomy entering the integrated power through the radial proper volume measure. For a solar mass lens and 10 MeV neutrinos, the numerical results show displaced oscillation fringes and a geometry dependent redistribution among the electron, muon, and tau channels. The electron-neutrino trajectory-flavor concurrence reaches approximately $0.23$, with an entropy near $0.10$ bit, while remaining weakly sensitive to the mass ordering in the selected configuration. By contrast, the annihilation power increases monotonically, reaching an increase of approximately 39.3% relative to Schwarzschild spacetime (for a particular configuration, i.e., λ=2 and M/Rν=1/3). Furthermore, at fixed source parameters and M/Rν=1/3, an assumed maximum excess of 10% in the integrated annihilation power relative to Schwarzschild yields the conditional bounds a/(2M)≤0.2879 and |λ|≤0.6358.
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BibTeX
@misc{filho2026quantum,
title = {{Quantum geometric signatures in neutrino dynamics around a holonomy black hole}},
author = {A. A. Araújo Filho},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.09079},
eprint = {2609.09079},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.09079},
}
RIS
TY - UNPB
TI - Quantum geometric signatures in neutrino dynamics around a holonomy black hole
AU - A. A. Araújo Filho
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.09079
UR - https://arxiv.org/abs/2609.09079
AB - We investigate three flavor neutrino phenomena in an effective holonomy corrected Schwarzschild geometry. We derive the weak-deflection angle through second post-Minkowskian order, obtain the semiclassical phases along radial and nonradial trajectories, and formulate the two-image flavor probability by including magnifications, Fermat phases, and wave packet overlap. The cross path phase acquires a logarithmic holonomy contribution and can retain information about the absolute neutrino mass scale. We also characterize flavor mode correlations and trajectory-flavor entanglement through the balance among path predictability, interference visibility, and I-concurrence. Neutrino-antineutrino annihilation outside an effective neutrinosphere is examined, with holonomy entering the integrated power through the radial proper volume measure. For a solar mass lens and 10 MeV neutrinos, the numerical results show displaced oscillation fringes and a geometry dependent redistribution among the electron, muon, and tau channels. The electron-neutrino trajectory-flavor concurrence reaches approximately $0.23$, with an entropy near $0.10$ bit, while remaining weakly sensitive to the mass ordering in the selected configuration. By contrast, the annihilation power increases monotonically, reaching an increase of approximately 39.3% relative to Schwarzschild spacetime (for a particular configuration, i.e., λ=2 and M/R_ν=1/3). Furthermore, at fixed source parameters and M/R_ν=1/3, an assumed maximum excess of 10% in the integrated annihilation power relative to Schwarzschild yields the conditional bounds a/(2M)≤0.2879 and |λ|≤0.6358.
ER -