mainTermCount
plain-language theorem explainer
The definition fixes the count of principal Standard Model Lagrangian sectors at the natural number four. Physicists tracing Recognition Science derivations of the SM would reference this constant to confirm the 2^(D-1) pattern for three spatial dimensions. It is supplied as a direct numeric assignment.
Claim. The number of main terms in the Standard Model Lagrangian is defined to be $4$.
background
The module treats the Standard Model Lagrangian as the sum of four sectors: gauge kinetic terms for the product group SU(3)×SU(2)×U(1), fermion kinetic terms for the Weyl fermions, Yukawa mass terms, and the Higgs potential. This decomposition is stated to equal 2^2, consistent with the spatial dimension D=3. Adding the single topological θ-term raises the total sector count to five, matching configDim D.
proof idea
The declaration is a direct definition that assigns the literal value four.
why it matters
The constant four is invoked by mainTerms_eq_4, mainTerms_2sq, mainTerms_2pow_Dm1, total_terms, and SMLagrangianCert to certify the sector count. It realizes the 2^(D-1) relation required by the eight-tick octave and T8 (D=3) in the UnifiedForcingChain, supplying the main-term half of the five-sector structure before the topological addition.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.