IndisputableMonolith.Physics.StandardModelLagrangianStructure
This module defines the Standard Model Lagrangian structure inside Recognition Science by enumerating sectors and term counts. Physicists embedding the SM into the J-functional framework and phi-ladder would cite these objects. The module proceeds via successive definitions of sector and term counts followed by equality lemmas that certify the structure.
claimSMLagrangianSector denotes the sectors of the Standard Model Lagrangian; smSectorCount, mainTermCount and totalTermCount enumerate them; the structure satisfies mainTerms = 4, mainTerms = 2^2 and mainTerms = 2^{D-1} with D = 3, certified by SMLagrangianCert.
background
The module sits inside the Recognition Science derivation of physics from the single functional equation and the Recognition Composition Law. It introduces SMLagrangianSector as the decomposition of the Lagrangian into distinct interaction sectors, smSectorCount as the number of such sectors, mainTermCount as the count of primary terms, totalTermCount as the overall term count, and SMLagrangianCert as the certified structure. These objects rest on the eight-tick octave and the forcing of D = 3 spatial dimensions from the upstream unified chain.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the concrete Lagrangian term counts required by downstream physics derivations that connect the Standard Model to the phi-ladder mass formula and the alpha band. It directly supports the T8 step that fixes D = 3 through the relation mainTerms = 2^{D-1}.
scope and limits
- Does not derive the explicit form of any SM interaction term.
- Does not prove consistency with experimental particle data.
- Does not address renormalization or quantum corrections.