Superconductivity as Forbidden Momentum Exchange: A Quantum-Geometry Dynamics Account of Zero Resistance

This paper presents a derivation of superconductivity from the minimal axioms of Quantum-Geometry Dynamics (QGD). In QGD, all non-gravitational momentum transfers obey a strict law of discrete momentum change: any change in the momentum of an object a must satisfy ΔPₐ = x mₐ p, where x is a positive integer, mₐ is the intrinsic mass in preons⁺, and p is the fundamental momentum unit. Momentum exchanges that fall strictly between permitted discrete values are physically forbidden. Electrical resistance arises from allowed discrete momentum exchanges between current-carrying electrons and the material’s lattice electrons. These transfers manifest as heat. Zero resistance occurs when cooling reduces the unbound momentum density (QGD definition of temperature: T = Σ Pᵢ / Volₛ) sufficiently that the momentum of current-carrying electrons falls below the minimum permitted exchange with the lattice electrons (Pcurrent Pcurrent at 300 K) that is distinct from and testable against the BCS phonon-coupling criterion. This mechanical, axiom-derived explanation demonstrates how superconductivity emerges naturally from the discrete structure of space and the law of discrete momentum change, without additional postulates. It offers a unified account applicable to all superconductor classes and redirects the search for room-temperature materials toward a precise, testable engineering target.