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fix(coq): L-COQ-QUARKS #558 — close 4 Admitted via R8 falsification#565

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fix(coq): L-COQ-QUARKS #558 — close 4 Admitted via R8 falsification#565
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@gHashTag gHashTag commented May 8, 2026

L-COQ-QUARKS #558 — close 4 Admitted via R8 falsification

Anchor: φ² + φ⁻² = 3 · DOI 10.5281/zenodo.19227877
Sibling: #554 L-LEP-FALSIFY (same pattern, lepton sector).

Why falsification

Numeric pre-flight (PDG 2024):

Q03 = phi^4 * pi / e^2   ≈  2.914    vs.  exp 171.5  ⇒ 98% off
Q05 = 48 * e^2 / phi^4   ≈ 51.747    vs.  exp  52.3  ⇒ 1.06% off

Both fail tolerance_V = 0.01. Q05 is barely outside (already flagged in file's existing audit comment). The within-tolerance + monomial-form claims cannot be proved as stated — R5 §honest-status requires Qed-the-negation.

Theorems flipped

Old (Admitted) New (Qed)
Q03_within_tolerance negation, by lra from Q03_falsified_by_PDG
Q03_monomial_form universal negation (no witness monomial fits the bound, since substituting eval m = Q03_theoretical leads back to the falsifier)
Q05_within_tolerance negation
Q05_monomial_form universal negation

Plus 4 new primary witnesses:

  • Q03_falsified_by_PDG (Qed) — interval on phi = (1+sqrt 5)/2
  • Q03_monomial_form_falsified (Qed)
  • Q05_falsified_by_PDG (Qed)
  • Q05_monomial_form_falsified (Qed)

Q06_within_tolerance and Q06_chain_relation remain Qed — they use the chain identity, not the candidate formula in isolation.

R-rule compliance

  • R1 Coq only · R5 no admit. (no paper-over) · R7 falsifier explicit · R8 counter-witness Qed · R12 step labels in comments

DoD

Closes #558.

Both Q03 (charm/down ratio) and Q05 (bottom/strange ratio) candidate
formulas are FALSIFIED by PDG-derived experimental ratios.  Honest
path under R5 + R8: prove the falsifier as the primary content and
restate the within-tolerance + monomial-form claims as their
negations.

Numeric pre-flight (verified by Compute analogue in proofs):

  Q03 = phi^4 * pi / e^2     ~= 2.914   vs.  exp 171.5  (98% off)
  Q05 = 48 * e^2 / phi^4     ~= 51.747  vs.  exp 52.3   (1.06% off)

Both > tolerance_V (0.01).  Q05 only barely (~6 ppt outside the 1%
band) — the original L-COQ47 audit comment in the file already
flagged this. Q06_within_tolerance and Q06_chain_relation remain
Qed (they use the chain identity, not the candidate formula in
isolation).

Theorems closed (Admitted -> Qed):
  Q03_falsified_by_PDG          (primary R8 witness)
  Q03_within_tolerance          (negation, by lra)
  Q03_monomial_form_falsified   (universal negation)
  Q03_monomial_form             (= falsified, name kept)
  Q05_falsified_by_PDG          (primary R8 witness)
  Q05_within_tolerance          (negation)
  Q05_monomial_form_falsified
  Q05_monomial_form

R5 honest, R7 falsifier path explicit, R8 counter-witness Qed,
R12 Lee/GVSU step labels in proof comments, R14 CITATION_MAP TODO.

Closes #558.

Anchor: phi^2 + phi^-2 = 3 · DOI 10.5281/zenodo.19227877
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🎯 ONE SHOT — L-COQ-QUARKS — close 4 Admitted in Bounds_QuarkMasses.v

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