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\[m^\ast_{\mathrm{CP}}=m^\ast_0(1+\chi_{\mathrm{CP}}),\]where $m^\ast_0$ 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 $\Delta/E_F$, leading to\[\frac{\delta B}{B_{\mathrm{th}}}\approx\alpha_{\mathrm{CP}}\frac{\Delta}{E_F}.\]This relation is intended as a flat-space, inertial, residual phenomenological parametrization, not as a gravitational derivation from curvature coupling.