totalTermCount
The definition assigns the natural number five to the total count of terms in the Standard Model Lagrangian. Researchers deriving the Standard Model from Recognition Science would reference this count to confirm the sector decomposition. The value follows from adding one topological term to four main terms that satisfy a power-of-two relation.
claimThe total number of terms in the Standard Model Lagrangian is defined to be $5$.
background
The module derives the Standard Model Lagrangian structure from Recognition Science. It decomposes the Lagrangian into four main sectors (gauge kinetic, fermion kinetic, Yukawa couplings, Higgs potential) that equal $2^2$, plus one topological theta term for QCD, for a total of five. This matches the configuration dimension in the framework, with the four-term count proved by decide as $2^(D-1)$ where D denotes spatial dimensions.
proof idea
The declaration is a direct definition that sets totalTermCount to the natural number five with no lemmas or tactics applied.
why it matters in Recognition Science
This definition supports the SMLagrangianCert structure, which requires five sectors, mainTermCount equal to four, and totalTermCount equal to mainTermCount plus one. It completes the explicit counting step stated in the module documentation for the Standard Model Lagrangian from RS, connecting to the framework's emphasis on power-of-two relations and dimensional consistency from the forcing chain.
scope and limits
- Does not establish the physical validity of the five-term decomposition.
- Does not derive the count from the forcing chain or phi-ladder.
- Does not specify the explicit mathematical forms of each sector.
formal statement (Lean)
33def totalTermCount : ℕ := 5
proof body
Definition body.
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