row_tau_electron_ratio_pct
plain-language theorem explainer
The experimental tau-electron mass ratio from PDG data agrees with phi to the 17 within a relative error below 3 percent. Researchers modeling fermion hierarchies under Recognition Science would cite this as a scorecard verification for the charged-lepton sector. The proof is a one-line wrapper that invokes the pre-established error bound from the Verification module.
Claim. Let $r$ be the experimental tau-electron mass ratio. Then $|phi^{17} - r| / r < 0.03$.
background
The Quark Score Card module consolidates theorem-grade facts for fermion masses in Recognition Science, recording that equal-Z particles share anchor mass ratios given by pure phi-powers of rung differences. Charged leptons carry ZOf = 1332; the tau-electron case is checked here against data without applying the gap(ZOf f) correction from RSBridge.Anchor.massAtAnchor. Upstream lemmas calibrate the underlying J-cost via LedgerFactorization and enforce the phi fixed point through PhiForcingDerived.
proof idea
The proof is a one-line wrapper that applies Verification.tau_electron_ratio_error.
why it matters
This theorem supplies the body for the parent result row_tau_electron_ratio in ChargedLeptonMassScoreCard. It populates the scorecard entry for the tau-electron ratio as phi^17, consistent with the equal-Z anchor ratio theorem and the eight-tick octave structure. The module flags the open residual: absolute masses remain unclosed until the bridge equivalence to the gap-corrected massAtAnchor formula is proved.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.