Published December 5, 2025 | Version v2

LRT Constraints on QFT: Deriving Fock Structure and Interpreting Renormalization from Logical Foundations

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Logic Realism Theory (LRT) derives non-relativistic quantum mechanics from the claim that the Three Fundamental Laws of Logic are ontological constraints constitutive of physical distinguishability. This paper extends LRT to quantum field theory through a tiered derivation structure with explicit physical inputs at each level. We establish three principal results: (1) Fock space structure is derived from LRT axioms plus Lorentz invariance and locality; (2) the spin-statistics connection follows from Lorentz invariance and microcausality via the standard Pauli argument; (3) the uniqueness of complex QFT is established. The paper distinguishes derivations from interpretations. Cluster decomposition, vacuum uniqueness, and the spectral gap are physical inputs (Tier 4), not consequences of logical constraints. Renormalization is interpreted as 3FLL-restoration at UV scales, but this does not derive renormalization group equations. Four predictions and six strong falsifiers are identified.

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