IndisputableMonolith.Physics.ParticlePhysicsDepthFromRS
This module links the six quark flavors to the six faces of a cube as part of deriving particle physics structure from Recognition Science. Researchers building the fermion spectrum from the phi-ladder and J-uniqueness would cite the flavor-to-geometry equalities. It supplies definitions for detection methods and flavor counts together with direct equalities enforcing the cube-face correspondence for quarks and leptons.
claimThe module asserts that the number of quark flavors equals six, matching the number of faces of a cube, with an analogous equality holding for the number of lepton flavors.
background
Recognition Science derives all physics from the single functional equation with J-uniqueness, J(x) = (x + x^{-1})/2 - 1, the self-similar fixed point phi, and the eight-tick octave leading to D = 3. This module sits in the particle-physics depth layer and introduces DetectionMethod as a counting primitive, quarkFlavors and leptonFlavors as the respective flavor cardinalities, and the equalities quarkFlavors_eq_cubeFaces and leptonFlavors_eq_cubeFaces that tie those cardinalities to cube geometry.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the geometric grounding for fermion flavor counts that feeds ParticlePhysicsDepthCert and the broader Recognition Science monolith. It closes one step in the depth certification by mapping the forcing-chain output (T5-T8) directly onto the observed six quarks and leptons.
scope and limits
- Does not derive particle masses or coupling constants.
- Does not address gauge symmetries or interaction vertices.
- Does not incorporate experimental data or decay rates.
- Does not extend beyond flavor counting to the full Standard Model spectrum.