{
  "abstract": "The soliton framework predicts a hedgehog soliton with baryon number $B = 1$ but no intrinsic flavor quantum numbers. Proton and neutron identities emerge through collective isorotation $A(t) \\in SU(2)$, constrained to half-integer isospin by the Finkelstein--Rubinstein theorem. We assemble the isovector observables computed in Emergence Papers I--IV of this programme and derive the neutron $\\beta$-decay lifetime $\\tau_\\beta$ as a spectral consistency test. Using $g_V = 1$ (conserved vector current) and $g_A = 1.174$ (cranking of the heat kernel $K(\\tau)$ at the zero-parameter point $M_q = 362$ MeV), the Fermi formula yields $\\tau_\\beta = 995$ s ($+13.3\\%$ relative to experiment), the deficit being a direct quadratic amplification of the $g_A$ deficit ($-7.3\\%$, Class B). The proton--neutron mass splitting $M_n - M_p$ is analyzed as an isovector scalar response; the Thouless cranking calculation yields $\\delta M_\\mathrm{strong} = 1.14$ MeV ($-45\\%$, Class D), a structural underestimation arising from the hedgehog projection ($Q_p \\approx 0.45$ vs.\\ $Q_p = 1$ in the naive quark model). This asymmetry with the $\\sigma_{\\pi N}$ overestimation ($\\times 2.4$) constitutes a new diagnostic of the collective quantization mechanism. The emergent $V - A$ structure---vector couplings exact by Noether's theorem, axial couplings reduced by chiral sea effects---is identified as a spectral diagnostic of the spectral (valence + sea) decomposition, with implications for the gauge emergence programme of Emergence Paper I.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Fabien Déchery"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7yj58ted0w1wf.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "7yj58ted0w1wf",
  "issns": [],
  "landing_url": "https://hal.science/hal-05793312v2",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.phys"
    ],
    [
      "hal",
      "1.phys.hthe"
    ],
    [
      "hal",
      "1.phys.mphy"
    ],
    [
      "hal",
      "1.phys.nucl"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05793312/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7yj58ted0w1wf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:02Z",
      "native_id": "hal-05793312",
      "source": "hal",
      "url": "https://hal.science/hal-05793312v2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.phys.mphy",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "hal:1.phys.hthe",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "hal:1.phys.nucl",
      "subfield": "nuclear"
    }
  ],
  "title": "Nucleon Identity as Emergent Isorotation: Spectral Diagnostics from Beta Decay to Proton-Neutron Splitting",
  "title_text": "Nucleon Identity as Emergent Isorotation: Spectral Diagnostics from Beta Decay to Proton-Neutron Splitting",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:02Z",
  "url": "https://research.draconitic.com/paper/7yj58ted0w1wf",
  "venue": "HAL",
  "versions": []
}