{
  "abstract": "The faculty of language can be modeled as an algebraic cycle between a lexicon—an Abelian Hilbert space 𝓗2 spanned by the diagonal matrices of a discrete group we call the Chomsky-Pauli group (GCP)—and a derivational workspace, realized as a Fock-lifted sector 𝓗4 in which syntactic chains arise as tensorized, separable superpositions. Results are three enumerable constraints that jointly identify the grammatically well-formed chains: (i) a rank-1 compressibility condition on chain contexts (satisfied by 96 of the possible matrix sums), (ii) a spectral condition on four-term chain aggregates (satisfied by 32 of those 96, each yielding spectral radius 2φ (twice the golden ratio)), and (iii) a hermiticity condition that restricts the observable subclass to interface-interpretable configurations. The spectral radius emerges as the algebraic fingerprint of X’-theoretic phrasal topology, connecting the lexical group-theoretic structure to a Fibonacci-like growth pattern of language phrase structure. The mathematical claims are finite and exhaustively checkable, and their linguistic interpretation constitutes a program of empirical hypotheses.",
  "abstract_shown": true,
  "affiliations": [
    "Quantum Department, Donostia International Physics Center, 20018 San Sebastian, Spain",
    "Linguistics Department, University of Maryland, College Park, MD 20742, USA"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Román Orús"
    },
    {
      "affs": [
        1
      ],
      "name": "Juan Uriagereka"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4xrq69z13531z.bib",
  "cited_by": 0,
  "doi": "10.3390/math14214037",
  "fulltext_url": null,
  "id": "4xrq69z13531z",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/21/4037",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/4xrq69z13531z.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T00:20:49Z",
      "native_id": "10.3390/math14214037",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/21/4037"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "issn:2227-7390",
      "subfield": "general"
    }
  ],
  "title": "Schrödinger’s Cat Still Lingers on the Mat",
  "title_text": "Schrödinger’s Cat Still Lingers on the Mat",
  "type": "peer-reviewed",
  "updated_at": "2026-11-06T00:21:06Z",
  "url": "https://research.draconitic.com/paper/4xrq69z13531z",
  "venue": "Mathematics",
  "versions": []
}