canonicalThreshold_pos

Recognition Science fixes the golden ratio $\varphi = (1+\sqrt{5})/2$ as the self-similar scale factor (forcing chain T6). A standard tighter bound in the Constants module is $\varphi > 1.5$, obtained from $\sqrt{5} > 2$.

This module issues Structural Certificate 26 for the Physics domain: a sorry-free, axiom-free structural prediction at recognition rung 26. The certificate package introduces a domain cost and a canonical threshold built from $\varphi$; positivity of that threshold is the elementary arithmetic fact recorded here.

Upstream, phi_gt_onePointFive supplies the only numeric input: "Tighter lower bound: φ > 1.5 (since √5 > 2, so (1 + √5)/2 > 1.5)."

One-line wrapper. Unfold the definition of the canonical threshold, then invoke linarith with the single lemma $\varphi > 1.5$. No case splits or further Recognition identities are required; the inequality is pure real arithmetic once the threshold is expanded in $\varphi$.

Structural Certificate 26 packages the Physics-domain prediction at recognition rung 26. Positivity of the canonical threshold is a prerequisite sanity check for any cost or gap comparison that treats the threshold as a strict lower barrier (domain cost nonnegativity and certificate inhabitation sit beside it in the same module).

In the broader RS ladder, thresholds built from $\varphi$ (including the Berry creation scale $\varphi^{-1}$) must be positive before mass or coupling comparisons are meaningful. This lemma closes that arithmetic obligation for the mod-26 physics certificate. No downstream consumers are wired yet in the graph; the result is local infrastructure for the certificate bundle itself.