IndisputableMonolith.Masses.MassLaw
The MassLaw module defines the gap correction gap(Z) = log base phi of (1 + Z/phi) that shifts the phi-ladder rung to account for charge skew in RS mass formulas. Mass modelers and SM verification authors cite it when applying the yardstick scaling to particle masses. The module is purely definitional with no theorems or proofs.
claimThe gap correction is defined by $ \gap(Z) = \log_\phi (1 + Z/\phi) $, which adjusts the exponent in the mass formula $ m = \text{yardstick} \times \phi^{r-8 + \gap(Z)} $ for charge-induced skew on the phi-ladder.
background
This module sits in the Masses domain and imports the RS time quantum τ₀ = 1 tick from Constants together with the canonical mass constants from Anchor. Anchor states that it centralises the parameter-free constants described in the mass manuscripts and that everything lives in the Model layer with no proofs claiming experimental agreement. The gap term appears directly in the mass law used by downstream modules.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the gap(Z) term required by the mass law stated in SMVerification, which formally records RS predictions for all Standard Model particles via m(particle) = yardstick(Sector) × φ^(r - 8 + gap(Z)). It also feeds NeutrinoMassExactness for higher-order corrections and HiggsYukawaBridge for the Yukawa ratio y_f = √2 m_f / v. It completes the charge-skew step in the derivation chain begun in Anchor.
scope and limits
- Does not derive yardstick or rung values.
- Does not claim numerical agreement with experiment.
- Does not incorporate Clag or higher-order corrections.
- Does not address neutrino mass sum resolution.