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  "slug": "adelic-consistency-conditions-across-primes-as-a-candidate-selection-principle-f",
  "title": "Adelic Consistency Conditions Across Primes as a Candidate Selection Principle for Physical Constants: Formulation, Negative Control, and Toy Dynamics",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "The three constants problem—why the fine-structure constant takes its observed value, why charged-lepton masses are hierarchically spaced, and what fixes the absolute mass scale—has no accepted resolution within the Standard Model. We develop a research program, stated as a testable conjecture rather than a result, in which the missing information is encoded not in the real continuum but in the non-archimedean (p-adic) places of an adelic structure over the rationals. The real line is treated as one leaf of an adelic foliation whose other leaves are ultrametric Bruhat–Tits trees; particle stability is conjectured to require consistency conditions satisfied at every prime simultaneously. We formalize this as a variational fixed-point principle on the adèle ring A_Q, verify the adelic product formula by explicit arithmetic, and prove a negative control: the product formula alone is an identity on Q^× and therefore has zero selection power. [...]",
  "abstract_markdown": "The three constants problem—why the fine-structure constant takes its observed value, why charged-lepton masses are hierarchically spaced, and what fixes the absolute mass scale—has no accepted resolution within the Standard Model. We develop a research program, stated as a testable conjecture rather than a result, in which the missing information is encoded not in the real continuum but in the non-archimedean ($p$-adic) places of an adelic structure over the rationals. The real line is treated as one leaf of an adelic foliation whose other leaves are ultrametric Bruhat–Tits trees; particle stability is conjectured to require consistency conditions satisfied at every prime simultaneously. We formalize this as a variational fixed-point principle on the adèle ring $\\mathbb{A}_{\\mathbb{Q}}$, verify the adelic product formula by explicit arithmetic, and prove a negative control: the product formula alone is an identity on $\\mathbb{Q}^{\\times}$ and therefore has zero selection power. [...]",
  "date": "2026-10-11",
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        "title": "Adelic Consistency Conditions Across Primes as a Candidate Selection Principle for Physical Constants: Formulation, Negative Control, and Toy Dynamics"
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        "description": "The three constants problem—why the fine-structure constant takes its observed value, why charged-lepton masses are hierarchically spaced, and what fixes the absolute mass scale—has no accepted resolution within the Standard Model. We develop a research program, stated as a testable conjecture rather than a result, in which the missing information is encoded not in the real continuum but in the non-archimedean (p-adic) places of an adelic structure over the rationals. The real line is treated as one leaf of an adelic foliation whose other leaves are ultrametric Bruhat–Tits trees; particle stability is conjectured to require consistency conditions satisfied at every prime simultaneously. We formalize this as a variational fixed-point principle on the adèle ring A_Q, verify the adelic product formula by explicit arithmetic, and prove a negative control: the product formula alone is an identity on Q^× and therefore has zero selection power. [...]",
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