IndisputableMonolith.Bridge.GaugeVsParams

Bridge.GaugeVsParams supplies the rescaling map that sends a potential p to alpha p plus offset b, together with the GaugeInvariant predicate applied to alpha inverse, log phi, and curvature. Researchers working on dimensionless constants in Recognition Science cite these constructions when demonstrating that the observed alpha band survives gauge transformations. The module is assembled from direct definitions of rescale_potential, rescale_cost, and the listed invariance statements, each obtained by substitution into the Recognition rules.

claimThe rescaling operation is $pmapsto alphap+b$. Gauge invariance is asserted by the predicate GaugeInvariant for the quantities $alpha^{-1}$, $logphi$, curvature, and the gap-3 term, all of which remain unchanged under the map.