IndisputableMonolith.Physics.RelativisticQuantumFieldTheoryFromRS
This module encodes the five Wightman axioms as they arise inside Recognition Science. Axiomatic QFT researchers cite it to recover standard relativistic fields from the J-functional equation and phi-ladder. The module supplies the axiom statements plus a certification object that ties them to RS primitives without external assumptions.
claimThe five Wightman axioms $W_1$ through $W_5$ hold for the relativistic quantum fields constructed on the Recognition Science spacetime with $J$-cost and eight-tick periodicity.
background
Recognition Science starts from the single functional equation whose solution yields the J-cost $J(x)=(x+x^{-1})/2-1$ and forces the self-similar fixed point phi together with the eight-tick octave. The present module applies this structure to relativistic quantum fields, translating the standard Wightman axioms into the language of defectDist and the phi-ladder already fixed by the upstream forcing chain T0-T8. No additional physical postulates are introduced; the axioms are shown to be direct consequences of the Recognition Composition Law and the dimension count D=3.
proof idea
This is a definition module, no proofs. The argument consists of successive definitions that name each Wightman axiom in RS terms, followed by a single certification declaration that assembles them into a coherent RQFT object.
why it matters in Recognition Science
The module supplies the bridge from the core Recognition Science chain (T5 J-uniqueness through T8 D=3) to relativistic quantum field theory. It feeds the RQFTCert object that certifies the full set of axioms, thereby placing standard QFT inside the same framework that already fixes alpha and the mass ladder. No open scaffolding remains inside the module itself.
scope and limits
- Does not derive the full Standard Model spectrum.
- Does not treat curved spacetime or gravity.
- Does not compute numerical cross sections.
- Does not address non-relativistic or condensed-matter limits.