IndisputableMonolith.Physics.RecognitionCoupling
The RecognitionCoupling module defines the geometric residue F(Z) together with RG residue values and recognition strengths to connect the recognition framework to fermion masses. Researchers deriving particle masses from T8 quantization and the phi-ladder would cite these definitions. It is a definitions module that assembles concepts from the anchor bridge and RG transport with no proofs inside.
claimThe geometric residue is the function $F(Z)$ on the charge-indexed integer $Z$ from the Z-map, together with the associated RG residue value and recognition strength.
background
The module sits at the interface between Recognition Science and the Standard Model. It imports the RS time quantum $ au_0 = 1$ tick, the alpha constants, the RG transport that defines the empirical mass residue $f^{ m exp}$, the T9 necessity result that the electron mass is forced from T8 and geometric constants, and the anchor definitions of Fermion species, the Z-map $Z_i = ilde q^2 + ilde q^4$ (+4 for quarks), the gap function $F(Z) = rac{ m ln(1+Z/\phi)}{ m ln(\phi)}$, and the anchor-scale mass.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the geometric residue and recognition-strength definitions that feed the T9 necessity proof for the electron mass and the structural-dominance statements. It closes the coupling step between the recognition landmarks (T8 ledger quantization, phi-ladder, eight-tick octave) and the RG transport of mass residues.
scope and limits
- Does not contain theorem statements or proofs.
- Does not compute numerical values of residues.
- Does not define the full mass formula or the forcing chain.
- Does not import the complete set of T0-T8 results.