quarkFlavors
The definition assigns the natural number 6 to the count of quark flavors by direct analogy to the six faces of a cube. Particle physicists certifying detection completeness inside the Recognition Science lattice model cite this constant when populating the ParticlePhysicsDepthCert structure. It is introduced as a bare constant with no reduction steps or lemmas.
claimThe number of quark flavors is defined to be $6$.
background
The module models particle detectors as recognition lattices for quantum-field events, with five canonical detection methods (tracking, calorimetry, time-of-flight, Čerenkov, transition radiation) fixing the configuration dimension at 5. It states that six quark flavors equal the six faces of a cube and likewise for the six leptons. The supplied definition supplies the concrete integer used by the certification structure and the companion equality theorem.
proof idea
Direct constant definition with no proof body or applied lemmas.
why it matters in Recognition Science
The definition populates the six_quarks field of the ParticlePhysicsDepthCert structure that certifies particle-physics depth from Recognition Science. It realizes the module statement equating quark count to cube faces, consistent with the framework's geometric encoding of spatial dimension D=3 and the eight-tick octave. No open questions or scaffolding are closed by this declaration.
scope and limits
- Does not derive the integer 6 from the T0-T8 forcing chain or Recognition Composition Law.
- Does not map individual quark flavors to specific rungs on the phi-ladder or assign masses.
- Does not relate the count to the fine-structure constant interval or Berry creation threshold.
formal statement (Lean)
27def quarkFlavors : ℕ := 6