{
  "abstract": "The Leggett--Garg inequality (LGI) constrains temporal correlations under the assumptions of macrorealism and noninvasive measurability. We study the four-time quantity \\(K_4\\) for two-flavor neutrino oscillations using a pseudo-density matrix (PDM) under static conditions, instead of non-invasive measurement. With this approach, it becomes possible to examine a Horodecki-type criterion for the temporal Pauli-correlation tensor. The Horodecki criterion had been proven for CHSH inequality (R. Horodecki et al. Phys. Lett. \\textbf{A200}, 340), For any unitary qubit evolution, the corresponding scalar is \\(M_R=2\\). Although, this result characterizes the correlation tensor and the optimized temporal construction, it does not imply that a fixed flavor observable violates the LGI at every neutrino energy or baseline. We therefore evaluate \\(K_4\\) explicitly for flavor measurements in matter of constant density. The numerical examples illustrate how matter effects modify the temporal correlations, with a pronounced matter--vacuum separation near the MSW resonance for the chosen parameters and generally smaller differences in the selected off-resonance cases. This finding motivates further investigation of matter-induced temporal correlations in atmospheric neutrinos and their potential relevance to future studies with long-baseline and atmospheric-neutrino experiments, including DUNE and Hyper-Kamiokande.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34832",
  "author_total": 2,
  "authors": [
    {
      "name": "M. M. Ettefaghi"
    },
    {
      "name": "H. Hajipour"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ana9w1y3te4at.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34832",
  "fulltext_url": null,
  "id": "ana9w1y3te4at",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34832",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3106|Neutrino Physics Research"
    ]
  ],
  "openalex": "W7223793936",
  "pdf_url": "https://arxiv.org/pdf/2610.34832",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ana9w1y3te4at.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.34832",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34832"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "A General Framework for Leggett--Garg Violation in Neutrino Oscillations and Matter Effects",
  "title_text": "A General Framework for Leggett--Garg Violation in Neutrino Oscillations and Matter Effects",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/ana9w1y3te4at",
  "venue": "arXiv",
  "versions": []
}