{
  "id": "oai:papers.qnfo.org:winding-number-as-hidden-variable",
  "slug": "winding-number-as-hidden-variable",
  "title": "Winding Number as Hidden Variable",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "This paper proposes that physical reality emerges from a pre-geometric substrate based on the circle S¹, with its integer winding numbers providing a deterministic foundation for physics. A universal computation of pattern writing, evolution, and projection generates spacetime and particles, reinterpreting fundamental constants as geometric scaling factors. Particle mass and identity are determined by the magnitude and prime factorization of the winding number n. This framework resolves major unsolved problems—including the hierarchy problem, strong CP problem, color confinement, and dark matter—as consequences of topological selection rules and resonance conditions near powers of the golden ratio. Critically, the winding number serves as a global, topological hidden variable, evading Bell’s theorem and providing a deterministic basis for quantum mechanics without violating experimental results. The model makes falsifiable predictions for gravitational wave modulation and gamma-ray dispersion.",
  "abstract_markdown": "This paper proposes that physical reality emerges from a pre-geometric substrate based on the circle \\(S^1\\), with its integer winding numbers providing a deterministic foundation for physics. A universal computation of pattern writing, evolution, and projection generates spacetime and particles, reinterpreting fundamental constants as geometric scaling factors. Particle mass and identity are determined by the magnitude and prime factorization of the winding number \\(n\\). This framework resolves major unsolved problems—including the hierarchy problem, strong CP problem, color confinement, and dark matter—as consequences of topological selection rules and resonance conditions near powers of the golden ratio. Critically, the winding number serves as a global, topological hidden variable, evading Bell’s theorem and providing a deterministic basis for quantum mechanics without violating experimental results. The model makes falsifiable predictions for gravitational wave modulation and gamma-ray dispersion.",
  "date": "2025-10-01",
  "first_published": "2025-10-01",
  "last_revised": "2025-10-01T00:00:00Z",
  "modified": "2025-10-01T00:00:00Z",
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  "url": "https://papers.qnfo.org/papers/winding-number-as-hidden-variable",
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        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
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        "title": "Winding Number as Hidden Variable"
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    "publicationYear": "2025",
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        "description": "This paper proposes that physical reality emerges from a pre-geometric substrate based on the circle S¹, with its integer winding numbers providing a deterministic foundation for physics. A universal computation of pattern writing, evolution, and projection generates spacetime and particles, reinterpreting fundamental constants as geometric scaling factors. Particle mass and identity are determined by the magnitude and prime factorization of the winding number n. This framework resolves major unsolved problems—including the hierarchy problem, strong CP problem, color confinement, and dark matter—as consequences of topological selection rules and resonance conditions near powers of the golden ratio. Critically, the winding number serves as a global, topological hidden variable, evading Bell’s theorem and providing a deterministic basis for quantum mechanics without violating experimental results. The model makes falsifiable predictions for gravitational wave modulation and gamma-ray dispersion.",
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