IndisputableMonolith.Physics.RelativisticQuantumFieldTheoryFromRS
Module packaging the five Wightman axioms as the RS interface to relativistic QFT, together with a count identity tying that five to spatial dimension and an RQFT certificate. A physicist reconstructing continuum QFT from the forcing chain would cite it. Structure is definitional: axiom labels, a dimension count lemma, and a cert bundle; no deep analytic proofs live here.
claimThe module records the five Wightman axioms $W_0,\ldots,W_4$ for a relativistic quantum field theory, proves the count identity $5 = D+2$ (with $D$ the spatial dimension), and exposes an RQFT certificate bundling those axioms for downstream use in the Recognition Science physics layer.
background
Wightman axioms are the standard Hilbert-space axioms for a relativistic QFT: vacuum existence and uniqueness, Poincaré covariance, spectral support in the forward light cone, locality (microcausality), and temperedness of the operator-valued distributions. In continuum QFT they fix the reconstruction of fields from Wightman distributions.
Recognition Science forces $D=3$ spatial dimensions at step T8 of the unified forcing chain. The module therefore treats the classical five-axiom list as $D+2$ once $D$ is fixed, so the axiom count is not an independent postulate but a dimension-dependent integer. The surrounding physics domain imports only Mathlib and exposes sibling definitions for the axiom predicate, the count, the identity $5=D+2$, and an RQFT certificate type.
Local setting is the RS physics layer that aims to recover continuum relativistic QFT structure from the discrete recognition substrate (eight-tick octave, $\phi$-ladder, J-cost), without re-deriving distribution theory from scratch.
proof idea
This is largely a definition and certificate module, not a deep proof module. It introduces a Wightman axiom label (or family), a numeric count of those axioms, a one-line dimension identity equating the classical five to $D+2$, and an RQFT certificate record that packages the axioms for later discharge. No analytic estimates or reconstruction theorems are proved here; the argument shape is bookkeeping plus a dimension arithmetic lemma.
why it matters in Recognition Science
In the Recognition framework the continuum limit must eventually match standard RQFT. Packaging the five Wightman axioms and tying their count to $D+2$ (with $D=3$ forced at T8) makes that match an explicit interface rather than an informal claim. Downstream physics developments that need a named RQFT certificate, or that must know the axiom count is dimensionally forced rather than postulated, land on this module. It sits between the forcing chain (T7 eight-tick, T8 $D=3$) and any later reconstruction or correlation-function work that assumes Wightman structure. Open analytic content (tempered distributions, spectral condition proofs from the discrete substrate) remains outside this file.
scope and limits
- Does not prove the Wightman axioms from the discrete RS substrate.
- Does not construct Wightman distributions or a Hilbert space of states.
- Does not establish the reconstruction theorem or PCT.
- Does not fix coupling constants, masses, or the gauge group.
- Does not address interacting fields or renormalization.