Mathematics & Geometry
Geometric Opposition as Discrete Curvature, Spectral Selection, and Defect Resolution: Hidden Structure in the ⊗ Operator V2F
The ⊗ operator returns one number per pair of points and appears to encode curvature, spectral backbone, topological defects, causal directionality, and thermodynamic cost simultaneously. Paper Two develops the mathematical mechanism underneath the empirical result of Paper One