Implications of Seiberg–Witten map on Type-I superconductors

We incorporate the Seiberg-Witten map of noncommutative theory in classical London type-I superconductivity when an external magnetic field is applied. After defining Maxwell potentials, we derive equation for supercurrent as a function parameter, up to second order gauge fields expansion. Keeping track effects fields, argue that can be cast permeability superconductor emergent property material, measurable possible not-so-far ultra-high-energy experimental setups. Another consequence penetration length acquires corrections Also, show flux quantization remains consistent relative commutative case. Our effective and reduce standard ones limit.