{
  "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 $10\\,\\mathrm{MeV}$ 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 $a/(2M)\\leq0.2879$ and $|λ|\\leq0.6358$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.09079",
  "author_total": 1,
  "authors": [
    {
      "name": "A. A. Araújo Filho"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/303b16nvsf44s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.09079",
  "fulltext_url": null,
  "id": "303b16nvsf44s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.09079",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Neutrino Physics Research"
    ]
  ],
  "openalex": "W7212063114",
  "pdf_url": "https://arxiv.org/pdf/2609.09079",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/303b16nvsf44s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:52Z",
      "native_id": "2609.09079",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.09079"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Quantum geometric signatures in neutrino dynamics around a holonomy black hole",
  "title_text": "Quantum geometric signatures in neutrino dynamics around a holonomy black hole",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:52Z",
  "url": "https://research.draconitic.com/paper/303b16nvsf44s",
  "venue": "arXiv",
  "versions": []
}