IndisputableMonolith.Physics.RecognitionCoupling
The RecognitionCoupling module defines the geometric residue F(Z) together with recognition strength and RG residue values that couple the recognition framework to Standard Model fermion masses. Physicists deriving RS-based mass hierarchies cite these quantities when transporting residues via renormalization group flow. The module assembles prior anchor and transport results into a single coupling layer without new theorems.
claimThe geometric residue is the function $F(Z)$ defined by the recognition structure, with associated RG residue value $f^exp$ and recognition strength for each fermion species.
background
The module sits inside the Recognition Science bridge to particle physics. RSBridge.Anchor supplies the fermion species, the charge-indexed integer ZOf, and the gap function $F(Z) = ln(1 + Z/φ)/ln(φ)$. RGTransport supplies the renormalization-group transport that converts the anchor mass to the empirical residue $f^exp$. Constants.Alpha and ElectronMass.Necessity supply the RS-native constants and the T9 necessity result that the electron mass is forced from T8 ledger quantization.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
These definitions supply the geometric residue and strength measures required by the electron mass necessity theorem and by RG transport calculations. The module therefore closes the coupling step between the anchor map and the forced mass formula in the T8-to-T9 segment of the forcing chain.
scope and limits
- Does not contain theorem statements or proofs.
- Does not evaluate numerical residue values.
- Does not treat quarks or neutrinos beyond the basic ZOf map.
- Does not extend the forcing chain past T9.