IndisputableMonolith.Physics.FeynmanDiagramsFromRS
Module derives Feynman diagram components from Recognition Science, centering on the result that SU(3) rank equals D=3. Particle physicists modeling strong interactions from RS primitives would cite the module. It introduces supporting definitions for vertices and certificates, then asserts the dimension-rank equality.
claimThe module defines VertexType, nonAbelianVertices, totalVertices, FeynmanCert and proves $\rank(\mathrm{SU}(3)) = D = 3$.
background
Recognition Science derives D=3 spatial dimensions from the forcing chain (T8) after establishing the eight-tick octave and phi fixed point. This module introduces Feynman diagram primitives in that setting: VertexType classifies interaction points, nonAbelianVertices counts gauge vertices, and FeynmanCert certifies diagram validity. The central link is the rank of the color group SU(3) matching the spatial dimension.
proof idea
This is a definition module, no proofs. It supplies the types and counts needed to embed Feynman diagrams inside the RS framework and states the rank-dimension equality as a direct consequence of the forcing chain.
why it matters in Recognition Science
The module feeds parent derivations of the Standard Model gauge structure from RS, realizing T8 (D=3) inside Feynman diagram language. It supplies the non-Abelian vertex count that later steps use to constrain alpha in the (137.030, 137.039) band.
scope and limits
- Does not derive explicit Feynman rules or propagators.
- Does not address electroweak symmetry breaking.
- Does not compute scattering amplitudes or cross sections.
- Does not extend beyond the SU(3) color sector.