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IndisputableMonolith.QFT

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The QFT module compiles derivations of quantum field theory features from Recognition Science's J-cost and ledger structures. Physicists studying foundations of the Standard Model would cite it for unified accounts of confinement, CPT invariance, and gauge principles. The module structures its content as a collection of imported submodules, each deriving one QFT property from RS primitives without a single overarching proof.

claimSummary of QFT derivations from Recognition Science, including quark confinement from J-cost distance scaling, CPT invariance from ledger symmetry, decoherence from Gap-45, Noether's theorem from cost stationarity, and gauge invariance from ledger redundancy.

background

Recognition Science starts from a single functional equation whose solutions yield the J-cost function J(x) = (x + x^{-1})/2 - 1 together with the Recognition Composition Law. The QFT module applies this structure to particle physics by importing ten submodules that treat specific phenomena as consequences of J-cost scaling and ledger redundancy. Upstream results include the Confinement submodule deriving the linear rise of the quark potential from J-cost distance scaling, the CPTInvariance submodule obtaining CPT from ledger symmetry, and the GaugeInvariance submodule tracing U(1) and SU(3) redundancies to ledger equivalence classes.

proof idea

This module contains no proof body of its own. It assembles its argument by importing the ten listed submodules, each of which supplies an independent derivation from RS primitives such as J-cost stationarity or ledger symmetry.

why it matters in Recognition Science

The module supplies the QFT layer of the Recognition Science framework, connecting the forcing chain (T5 J-uniqueness, T7 eight-tick octave, T8 D=3) to observable particle physics. It feeds the main monolith by establishing consistency of confinement, CPT, and gauge principles with the phi-ladder and RCL. The module touches the open question of whether the same J-cost structure can close the gap to gravity.

scope and limits

depends on (10)

Lean names referenced from this declaration's body.

declarations in this module (1)