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  "slug": "reification-and-non-archimedean-foundations-in-theoretical-physics",
  "title": "REIFICATION AND NON-ARCHIMEDEAN FOUNDATIONS IN THEORETICAL PHYSICS",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "This synthesis examines the persistent difficulties in contemporary theoretical physics through the lens of the Copernican diagnostic: the proliferation of unobservable entities (virtual particles, dark matter, the inflaton, etc.) signals not that nature is complex but that the descriptive framework is suboptimal. The common denominator underlying these “epicycles” is identified as the Archimedean axiom—the assumption of a smooth, infinitely divisible continuum that underpins both general relativity and quantum mechanics. Replacing this continuum with a non‑Archimedean, hierarchical, discrete substrate (exemplified by the Bruhat‑Tits tree) dissolves the epicycles and reveals the invariant structure beneath. Four candidate unified frameworks are evaluated: holography (AdS/CFT), causal set theory, the crossed‑product construction in algebraic QFT, and the Syntactic Token Calculus (STC). Each framework rejects the Archimedean continuum in favor of a tree‑like or poset structure, but they differ in mathematical rigor, empirical adequacy, and ontological parsimony. [...]",
  "abstract_markdown": "This synthesis examines the persistent difficulties in contemporary theoretical physics through the lens of the Copernican diagnostic: the proliferation of unobservable entities (virtual particles, dark matter, the inflaton, etc.) signals not that nature is complex but that the descriptive framework is suboptimal. The common denominator underlying these “epicycles” is identified as the Archimedean axiom—the assumption of a smooth, infinitely divisible continuum that underpins both general relativity and quantum mechanics. Replacing this continuum with a non‑Archimedean, hierarchical, discrete substrate (exemplified by the Bruhat‑Tits tree) dissolves the epicycles and reveals the invariant structure beneath. Four candidate unified frameworks are evaluated: holography (AdS/CFT), causal set theory, the crossed‑product construction in algebraic QFT, and the Syntactic Token Calculus (STC). Each framework rejects the Archimedean continuum in favor of a tree‑like or poset structure, but they differ in mathematical rigor, empirical adequacy, and ontological parsimony. [...]",
  "date": "2026-04-01",
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        "title": "REIFICATION AND NON-ARCHIMEDEAN FOUNDATIONS IN THEORETICAL PHYSICS"
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        "description": "This synthesis examines the persistent difficulties in contemporary theoretical physics through the lens of the Copernican diagnostic: the proliferation of unobservable entities (virtual particles, dark matter, the inflaton, etc.) signals not that nature is complex but that the descriptive framework is suboptimal. The common denominator underlying these “epicycles” is identified as the Archimedean axiom—the assumption of a smooth, infinitely divisible continuum that underpins both general relativity and quantum mechanics. Replacing this continuum with a non‑Archimedean, hierarchical, discrete substrate (exemplified by the Bruhat‑Tits tree) dissolves the epicycles and reveals the invariant structure beneath. Four candidate unified frameworks are evaluated: holography (AdS/CFT), causal set theory, the crossed‑product construction in algebraic QFT, and the Syntactic Token Calculus (STC). Each framework rejects the Archimedean continuum in favor of a tree‑like or poset structure, but they differ in mathematical rigor, empirical adequacy, and ontological parsimony. [...]",
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