{
  "id": "oai:papers.qnfo.org:spin-statistics-distinction",
  "slug": "spin-statistics-distinction",
  "title": "The Boson/Fermion Distinction: Spin-Statistics as Structural Invariant",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "The textbook dichotomy between bosons and fermions is commonly presented as a primitive classification of nature. This paper argues that the dichotomy is a derived, dimension-dependent shadow of a single structural relation: the exchange phase of identical particles equals their topological spin, R = e^{2pi is}. The relation holds across relativistic quantum field theory, topological field theory, and condensed-matter anyon systems; dimension enters only by quantizing the allowed values of the spin parameter. The paper then examines whether a distinction-based calculus can derive exchange statistics from the act of distinction itself: a recent monograph in this tradition silently adopts the symmetric algebra for its exponential modality, corresponding to bosonic statistics, without deriving that choice from the primitive. The required construction (two modal exponentials; braiding of two marks in a compact closed category; ribbon condition) is formalized, with falsifiability conditions F1 and F2.",
  "abstract_markdown": "The textbook dichotomy between bosons and fermions is commonly presented as a primitive classification of nature. This paper argues that the dichotomy is a derived, dimension-dependent shadow of a single structural relation: the exchange phase of identical particles equals their topological spin, R = e^{2pi is}. The relation holds across relativistic quantum field theory, topological field theory, and condensed-matter anyon systems; dimension enters only by quantizing the allowed values of the spin parameter. The paper then examines whether a distinction-based calculus can derive exchange statistics from the act of distinction itself: a recent monograph in this tradition silently adopts the symmetric algebra for its exponential modality, corresponding to bosonic statistics, without deriving that choice from the primitive. The required construction (two modal exponentials; braiding of two marks in a compact closed category; ribbon condition) is formalized, with falsifiability conditions F1 and F2.",
  "date": "2026-08-14",
  "first_published": "2026-08-14",
  "last_revised": "2026-08-14T00:00:00Z",
  "modified": "2026-08-14T00:00:00Z",
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  "language": "eng",
  "keywords": [
    "spin-statistics theorem",
    "exchange statistics",
    "topological spin",
    "braided tensor categories",
    "anyons",
    "laws of form"
  ],
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  "url": "https://papers.qnfo.org/papers/spin-statistics-distinction",
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  "version_url": "https://papers.qnfo.org/papers/spin-statistics-distinction/v/1.6.0",
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        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
      {
        "title": "The Boson/Fermion Distinction: Spin-Statistics as Structural Invariant"
      }
    ],
    "publisher": "QNFO",
    "publicationYear": "2026",
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    "subjects": [
      {
        "subject": "spin-statistics theorem"
      },
      {
        "subject": "exchange statistics"
      },
      {
        "subject": "topological spin"
      },
      {
        "subject": "braided tensor categories"
      },
      {
        "subject": "anyons"
      },
      {
        "subject": "laws of form"
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    "dates": [
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        "date": "2026-08-14",
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        "description": "The textbook dichotomy between bosons and fermions is commonly presented as a primitive classification of nature. This paper argues that the dichotomy is a derived, dimension-dependent shadow of a single structural relation: the exchange phase of identical particles equals their topological spin, R = e^{2pi is}. The relation holds across relativistic quantum field theory, topological field theory, and condensed-matter anyon systems; dimension enters only by quantizing the allowed values of the spin parameter. The paper then examines whether a distinction-based calculus can derive exchange statistics from the act of distinction itself: a recent monograph in this tradition silently adopts the symmetric algebra for its exponential modality, corresponding to bosonic statistics, without deriving that choice from the primitive. The required construction (two modal exponentials; braiding of two marks in a compact closed category; ribbon condition) is formalized, with falsifiability conditions F1 and F2.",
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