Superconductivity from Compton Geometry: A Framework Based on Coordinated Momentum Transfer

We present a geometrical framework connecting the Compton effect to superconductivity through shared principles of gradient indeterminacy, collective states, and geometric resonance. The Compton effect, reinterpreted as a purely geometric interaction between electromagnetic fields and extended electron structures, provides the fundamental ``push'' mechanism that, when coordinated across a crystal lattice, yields coherent supercurrents. Superconductivity emerges when collective electron states satisfy geometric resonance conditions ($\xi \cdot k_F/2\pi \approx n$) and symmetry constraints dictated by crystal structure. This approach avoids abstract formalisms, working instead with real distances, angles, and gradients. Predictions include abrupt gap symmetry changes at structural transitions and specific design criteria for high-temperature superconductors based on geometrical optimization.