IndisputableMonolith.Particles.CKMDerivation
The CKMDerivation module assembles first-principles definitions for the CKM quark mixing matrix and Cabibbo angle from Recognition Science mass anchors and constants. Flavor physicists and model builders seeking parameter-free mixing hierarchies would cite these structural results. The module consists of sibling definitions for torsion differences, Cabibbo parameter, rs_V_us, rs_V_cb, rs_V_ub, ckm_hierarchy, and the CKMCert certificate, with no theorems or proofs.
claimThe module defines the CKM matrix $V$ with elements $V_{us}$, $V_{cb}$, $V_{ub}$ and Cabibbo angle parameter derived from the RS phi-ladder and J-cost on mass anchors, together with the structural certificate CKMCert asserting unitarity and hierarchy.
background
Recognition Science starts from the J-cost functional equation and forces the phi fixed point, eight-tick octave, and D=3. The upstream Constants module supplies the RS time quantum tau_0 = 1 tick. The upstream Masses.Anchor module centralizes all parameter-free mass constants in the Model layer, stating that everything is derived from first principles with no experimental agreement claimed.
proof idea
This is a definition module, no proofs. It organizes the listed sibling declarations (torsion_differences through ckm_cert_exists) into a coherent CKM derivation layer that imports only Constants and Masses.Anchor.
why it matters in Recognition Science
The module supplies the CKM sector to the Particles domain of the Recognition Science framework. It completes the bridge from mass anchors to flavor mixing without free parameters and feeds any higher-level particle derivations that require structural unitarity or hierarchy statements.
scope and limits
- Does not perform numerical fits to experimental CKM data.
- Does not derive mixing from gauge symmetry or Higgs sector.
- Does not include CP-violating phases or full PMNS matrix.
- Does not claim quantitative agreement with measured angles.