NuclearPhysicsDepthCert
plain-language theorem explainer
Nuclear structure in Recognition Science is certified to consist of exactly five categories with the second magic number fixed at eight. Researchers modeling nuclear binding via the phi-ladder would cite this to anchor the dimensional count to the five force carriers. The structure simply records the cardinality of the enumerated inductive type together with the constant definition of the magic number.
Claim. A certificate consisting of the assertions that the set of nuclear structure categories has cardinality five and that the second magic number equals $2^3$.
background
The module Nuclear Physics Depth from RS organizes nuclear structure into five categories: single-particle, collective, rotation, vibration, and cluster. These match the five canonical nuclear force carriers (gluons, W+, W-, Z0, photon) and set configDim D = 5. The second magic number is defined as the constant 8, corresponding to the eight-tick octave period in the forcing chain.
proof idea
This is a structure definition with no proof body. It directly packages the cardinality fact from the Fintype instance on the inductive enumeration of the five categories together with the constant equality secondMagicNumber = 8.
why it matters
This definition supplies the certificate used by nuclearPhysicsDepthCert to confirm the match between nuclear structure dimensionality and the five force categories. It anchors the B7 Nuclear section to the eight-tick octave (T7) via the second magic number equaling 2 cubed and aligns with configDim D = 5 in the Recognition Science derivation of spatial dimensions.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.