{
  "abstract": "We establish that vacuum entanglement entropy, regulated by weak spacetime curvature, imposes a fundamental lower bound on radial resolution for quantum excitations. From the area law, weak gravity introduces a natural UV regulator via the perturbative Green's function. Geometric projection yields a minimal radial scale $Δr_{\\min} \\propto r_s^2/R$, where $r_s$ is the Schwarzschild radius and $R$ the boundary radius. Consistency with the Compton wavelength defines a global mass scale $m_{\\text{geo}} \\equiv \\hbar R/(c r_s^2)$. Particle masses satisfy $m = αm_{\\text{geo}}$, where $α$ encodes vacuum structure. For Earth, $m_{\\text{geo}} \\approx 2.84 \\times 10^{-32}$ kg. We determine $α$ via spectral analysis of curvature-induced mode shifts, implemented in Python with $N=3000$ radial points and $n_{\\text{modes}}=1000$. The calculation yields $α(2) \\approx 33$, matching the electron benchmark without adjustable parameters, ruling out exponential ansätze in favor of slow power-law growth $α(l) \\propto l^{1.27}$. Crucially, this resolution limit endows the quantum vacuum with the properties of a granular refractive medium. This elegantly explains a fundamental particle-wave asymmetry: massive excitations with $λ_C \\ll Δr_{\\min}$ propagate in the geometric optics limit, following macroscopic gradients as classical geodesics. Conversely, photons with $λ\\ll Δr_{\\min}$ interact directly with the medium's granularity, leading to phase decoherence and anomalous dispersion. This framework reframes mass as a probe of vacuum-imposed resolution limits, yielding distinct, falsifiable predictions for high-energy photon propagation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.27640",
  "author_total": 1,
  "authors": [
    {
      "name": "Isbelia Martin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5h2smdfdgcv35.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.27640",
  "fulltext_url": null,
  "id": "5h2smdfdgcv35",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.27640",
  "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",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7204838966",
  "pdf_url": "https://arxiv.org/pdf/2608.27640",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5h2smdfdgcv35.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:48Z",
      "native_id": "2608.27640",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.27640"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "A geometric resolution limit from vacuum entanglement: Topological Structure and Particle-Wave Asymmetry",
  "title_text": "A geometric resolution limit from vacuum entanglement: Topological Structure and Particle-Wave Asymmetry",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:48Z",
  "url": "https://research.draconitic.com/paper/5h2smdfdgcv35",
  "venue": "arXiv",
  "versions": []
}