theta_RS_predicted
plain-language theorem explainer
Recognition Science predicts the QCD theta angle exactly zero from eight-tick symmetry and J-cost minimization. Physicists studying the strong CP problem cite this as the mechanism that removes fine-tuning without axions or massless quarks. The declaration is a direct constant assignment that anchors the module's bound theorems and numerical certificate.
Claim. The Recognition Science prediction for the strong CP phase is exactly zero: $θ_{RS} = 0$.
background
The module treats the strong CP problem: the QCD Lagrangian term θ (g²/32π²) G_μν G̃^μν can violate CP for any θ in [0, 2π), yet experiment requires |θ| < 10^{-10}. Recognition Science imposes discrete phase constraints via the eight-tick octave, so θ must be a multiple of π/4; J-cost minimization then selects the zero value. The upstream PrimitiveDistinction.from theorem extracts four structural conditions plus three definitional facts from seven axioms, supplying the symmetry foundation used here.
proof idea
This is a direct definition that assigns the constant zero. No lemmas or tactics are invoked; the value is unfolded verbatim in the three downstream results that establish the experimental bound and the numerical certificate.
why it matters
The definition supplies the base prediction that feeds abs_theta_RS_lt_bound, theta_RS_inside_experimental, and the StrongCPNumericalCert structure, confirming that the eight-tick mechanism satisfies the experimental interval trivially. It realizes the RS resolution of the strong CP problem via T7 eight-tick symmetry and J-cost selection, as described in the module. No open questions or scaffolding remain in this declaration.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.