{
  "abstract": "Can classically branched dynamics associated with spontaneous time-translation-symmetry breaking be quantized without explicitly retaining the branches of the Hamiltonian? We investigate this question using a reduced phase space. formulation in which the Hamiltonian is single-valued, while the critical structure of the classical Legendre map is encoded in a singular, momentum-dependent symplectic geometry. Quantization of the reduced Poisson algebra yields a deformed position-momentum commutator whose singularities determine distinct regular momentum sectors. Using the positive measure induced by the reduced symplectic structure, we identify a bounded central sector and two unbounded outer sectors. In the central sector, states with vanishing mean momentum obey a nonzero lower bound on position uncertainty, subject to the operator-domain assumptions of the representation. We further identify a possible field-theoretic connection with k-essence, where nonlinear scalar-field kinetics can produce finite-velocity degeneracies of the Legendre map. The relationship between the resulting reduced quantum description and branch-matching quantization remains unresolved and requires a comparison of the corresponding Hilbert spaces and operator domains.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.32030",
  "author_total": 1,
  "authors": [
    {
      "name": "Partha Nandi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/053sc3xg1dzaz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.32030",
  "fulltext_url": null,
  "id": "053sc3xg1dzaz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.32030",
  "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"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3109|Noncommutative and Quantum Gravity Theories"
    ]
  ],
  "openalex": "W7223677353",
  "pdf_url": "https://arxiv.org/pdf/2610.32030",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/053sc3xg1dzaz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:15Z",
      "native_id": "2610.32030",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.32030"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Can Spontaneous Time-Translation Symmetry Breaking Be Quantized Without Explicit Branches?",
  "title_text": "Can Spontaneous Time-Translation Symmetry Breaking Be Quantized Without Explicit Branches?",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/053sc3xg1dzaz",
  "venue": "arXiv",
  "versions": []
}