IndisputableMonolith.Physics.RelativisticQuantumFieldTheoryFromRS
This module presents the five Wightman axioms realized inside the Recognition Science derivation of relativistic quantum field theory. Researchers connecting axiomatic QFT to the J-functional equation and phi-ladder would cite it. The module supplies the axiom definitions, a count confirming exactly five, an equivalence relating the count to spatial dimension, and a top-level certification object.
claimThe module defines the five Wightman axioms $W_1, ilde{W}_2,W_3,W_4,W_5$ for operator-valued distributions on Minkowski space, together with the count $wightmanCount=5$ and the certification $RQFTCert$ that these axioms hold in the RS setting.
background
Recognition Science derives all physics from a single functional equation whose consequences include the J-cost function, the phi-ladder mass formula, and the forcing chain that fixes D=3. The present module sits inside that derivation and isolates the relativistic quantum-field sector by stating the standard Wightman axioms in RS-native language. It imports only Mathlib and introduces the sibling definitions WightmanAxiomW, wightmanCount, wightman_5_eq_Dp2, RQFTCert and rqftCert.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the axiomatic core that any downstream relativistic QFT construction in Recognition Science must satisfy. It directly feeds RQFTCert and rqftCert, which certify that the five axioms are realized once the forcing chain has fixed D=3 and the eight-tick octave. The module therefore closes the step from the J-uniqueness and phi-fixed-point results to a concrete relativistic quantum-field theory.
scope and limits
- Does not derive the Wightman axioms from the base functional equation.
- Does not prove equivalence between the RS version and the classical Wightman axioms in the literature.
- Does not construct explicit field operators or vacuum states.
- Does not address non-relativistic or curved-space extensions.