pith. sign in
theorem

row_muon_electron_ratio_pct

proved
show as:
module
IndisputableMonolith.Masses.QuarkScoreCard
domain
Masses
line
143 · github
papers citing
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plain-language theorem explainer

The experimental muon-electron mass ratio satisfies |phi^11 minus the ratio| divided by the ratio is less than 0.04. Particle physicists checking phi-ladder predictions for lepton masses would cite this bound as a verified data match. The proof is a direct one-line application of the pre-established error theorem in the Verification module.

Claim. $|phi^{11} - (m_μ / m_e)_{exp}| / (m_μ / m_e)_{exp} < 0.04$, where phi is the Recognition Science self-similar fixed point and the masses are PDG experimental values.

background

The Quark Score Card module consolidates existing theorem-grade mass predictions for quarks and leptons, recording which facts are proved and which remain open without adding new physics. ratio_mu_e_exp is the definition m_mu_exp / m_e_exp. The upstream Constants structure supplies the Recognition Science parameters including phi, while muon_electron_ratio_error supplies the explicit numerical bound derived from phi^11 inequalities and experimental ratio bounds.

proof idea

One-line wrapper that applies the muon_electron_ratio_error theorem from the Verification module.

why it matters

This bound populates the row in ChargedLeptonMassScoreCard for the muon-electron ratio, confirming phi^11 scaling as part of the mass ladder. It aligns with the T6 phi fixed point and the eight-tick octave from the forcing chain. It touches the open question of absolute mass matches once the gap(ZOf) correction from RSBridge.Anchor is incorporated.

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