w_mass_anomaly_from_ledger
plain-language theorem explainer
This definition supplies a structural placeholder that equates resolution of the W-mass anomaly to the electroweak scale being fixed by the phi-ladder. Particle physicists and cosmologists examining the CDF II discrepancy would cite it when reframing the 7σ excess as an RS scale effect rather than beyond-Standard-Model physics. The declaration is realized as a direct alias to the scale_from_ledger proposition.
Claim. The W-mass anomaly holds precisely when the electroweak scale is given by the coherent energy times a power of the golden ratio on the appropriate rung, satisfying $1 < phi < 2$ together with consistency of the mass hierarchy across all integer rungs.
background
The module formalizes T-005 on the CDF W-mass anomaly, contrasting the 2022 CDF II value of 80,433.5 ± 9.4 MeV against the SM prediction of 80,357 ± 6 MeV. Recognition Science resolves the tension by deriving the electroweak scale from the phi-ladder instead of a free Higgs VEV. Upstream result scale_from_ledger states: E-004 Structural: The electroweak scale problem dissolves in RS. Masses come from φ-ladder rungs, not from Higgs VEV × Yukawa. The scale is E_coh · φ^r for appropriate r.
proof idea
One-line definition that directly aliases the anomaly placeholder to scale_from_ledger.
why it matters
It supplies the input proposition for the downstream theorems w_mass_anomaly_structure (which reduces to has_ew_scale_structure) and w_mass_implies_ew_scale. The declaration thereby completes the T-005 registry item by mapping the observed anomaly onto the RS phi-ladder mass formula, consistent with the eight-tick octave and D = 3 spatial dimensions.
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