P=NP as a Structural Consequence of Axiomatic Second–Variation Geometry

Within Universal Variation Theory (UVT), the convexity-gap property prohibits exponentially deep non-convex quadratic wells along polynomially bounded state families, leading to a geometric separation PUVT ≠ NPUVT for NP-complete problems via quasi-isometric Boolean embeddings and localized clause violation deficits.