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  "id": "oai:papers.qnfo.org:invariant-patterns-adelic-refactoring",
  "slug": "invariant-patterns-adelic-refactoring",
  "title": "Invariant Patterns and the Adelic Refactoring of Fundamental Physics",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "This paper proposes a systematic refactoring of fundamental physics around a single organizing principle: physics is the study of invariant patterns under specified classes of transformations. Stripping away anthropocentric conventions --- measurement units and the privileged status of Archimedean real numbers --- reveals that the natural mathematical home for physical invariants is the adele ring, the object that unifies all completions of the rational numbers under Ostrowski's theorem [established]. The Bruhat--Tits tree emerges as the fundamental geometry; Lorentzian spacetime is an emergent, large-scale Archimedean projection. Within this framework, particles are not \"things\" but periodic distinction patterns whose Compton frequencies are rational ratios [speculative] carrying a complete prime-valued valuation signature. The paper traces the progressive refinement of this thesis through a structured red-team critique, yielding three concrete, falsifiable predictions: modified photon dispersion relations [speculative] at the Planck scale, log-periodic oscillations in the dark matter [speculative] power spectrum, and anomalous black hole echo [speculative] timings. [...]",
  "abstract_markdown": "This paper proposes a systematic refactoring of fundamental physics around a single organizing principle: physics is the study of invariant patterns under specified classes of transformations. Stripping away anthropocentric conventions --- measurement units and the privileged status of Archimedean real numbers --- reveals that the natural mathematical home for physical invariants is the adele ring, the object that unifies all completions of the rational numbers under Ostrowski's theorem [established]. The Bruhat--Tits tree emerges as the fundamental geometry; Lorentzian spacetime is an emergent, large-scale Archimedean projection. Within this framework, particles are not \"things\" but periodic distinction patterns whose Compton frequencies are rational ratios [speculative] carrying a complete prime-valued valuation signature. The paper traces the progressive refinement of this thesis through a structured red-team critique, yielding three concrete, falsifiable predictions: modified photon dispersion relations [speculative] at the Planck scale, log-periodic oscillations in the dark matter [speculative] power spectrum, and anomalous black hole echo [speculative] timings. [...]",
  "date": "2026-08-04",
  "first_published": "2026-08-04",
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    "Compton number",
    "dark matter",
    "holographic principle",
    "p-adic",
    "Laws of Form"
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        "subject": "Ostrowski theorem"
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        "subject": "Bruhat-Tits tree"
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        "description": "This paper proposes a systematic refactoring of fundamental physics around a single organizing principle: physics is the study of invariant patterns under specified classes of transformations. Stripping away anthropocentric conventions --- measurement units and the privileged status of Archimedean real numbers --- reveals that the natural mathematical home for physical invariants is the adele ring, the object that unifies all completions of the rational numbers under Ostrowski's theorem [established]. The Bruhat--Tits tree emerges as the fundamental geometry; Lorentzian spacetime is an emergent, large-scale Archimedean projection. Within this framework, particles are not \"things\" but periodic distinction patterns whose Compton frequencies are rational ratios [speculative] carrying a complete prime-valued valuation signature. The paper traces the progressive refinement of this thesis through a structured red-team critique, yielding three concrete, falsifiable predictions: modified photon dispersion relations [speculative] at the Planck scale, log-periodic oscillations in the dark matter [speculative] power spectrum, and anomalous black hole echo [speculative] timings. [...]",
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