Macroscopic Quantum Coherence and State-Dependent Cooper-Pair Inertial Mass

A recent structural reinterpretation of gauge interfaces within the C-parity framework suggests a natural physical question concerning the effective inertial mass of Cooper pairs. In standard treatments, the London moment of a rotating superconductor probes the effective inertial mass of the superconducting carrier after relativistic, geometric, penetration-depth, and lattice-potential corrections have been included. We propose a flat-space effective ansatz in which the transition of a metal into a coherent BCS superconducting ground state may induce a residual carrier-level inertial susceptibility. The starting point is the algebraic separation, within the C-parity framework, between a C-even mass carrier and a C-odd/mixed operational electromagnetic readout channel. The superconducting transition reorganizes the charged degrees of freedom through which this electromagnetic readout channel is expressed. We therefore parametrize the effective Cooper-pair inertial mass as\[m^CP=m^_0(1+χCP),\]where m^₀ denotes the standard theoretical carrier mass after conventional corrections. We suggest that the natural microscopic small scalecontrolling the residual contribution is the BCS phase-space fraction Δ/EF, leading to\[{δ B}{Bₜₕ}≈αCPΔ/E_F.\]This relation is intended as a flat-space, inertial, residual phenomenological parametrization, not as a gravitational derivation from curvature coupling.