StrongCPFalsifier
plain-language theorem explainer
StrongCPFalsifier packages the three conditions that would invalidate the eight-tick derivation of vanishing theta_QCD. A physicist examining discrete symmetry constraints on the strong CP problem would cite the structure when stating null hypotheses for experiment. The declaration is introduced as a plain structure with no computational content or lemmas.
Claim. A structure whose fields assert that the QCD angle satisfies $theta neq 0$, that the eight-tick periodicity is violated, and that a continuous axion field exists, together with the implication that nonzero $theta$ yields a contradiction.
background
The module accounts for the strong CP problem by imposing eight-tick symmetry on the QCD vacuum angle. This symmetry restricts theta to multiples of pi/4, after which J-cost minimization selects the zero value. The structure collects the three routes by which the account could be overturned: direct observation of nonzero theta, refutation of the eight-tick constraint, or discovery of a continuous axion that relaxes theta dynamically.
proof idea
The declaration is a structure definition that simply declares three propositions and one implication; no lemmas are applied and no tactics are used.
why it matters
The structure marks the explicit falsification boundary for the Recognition Science resolution of the strong CP problem. It directly references the eight-tick octave and the J-cost selection mechanism that forces theta to zero. No parent theorems depend on it, leaving open how experimental bounds on theta will be folded back into the framework.
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