The Compton Lock in a Superconducting Ring - Quantum circulation, Kerr geometry, and the case for a laboratory test
Abstract
A11 of the A-series (a companion paper A12 is already online with the latest) Can a superconducting ring reveal a physical effect tied to a quantum length far smaller than an atom? This paper derives a precise, parameter-free matching condition that connects collective circulation in a superconducting ring to the reduced Compton wavelength of its carriers and to the measurable sheet kinetic inductance of the film. Within the stated model the ring radius cancels identically, leaving a direct relation between track width, sheet kinetic inductance, and the ratio of electrical stiffness mass to free constituent mass. Twelve published material–geometry cases from the recent literature are placed on the resulting dimensionless axis and serve as practical benchmarks. None of the examined devices sits exactly on the target locus. The proposed test looks for a reproducible change in microwave resonance frequency, internal loss or noise as the calibrated matching condition is crossed under controlled flux preparation. Standard controls (gap variation, flux history, temperature, and comparison devices) are specified to distinguish any candidate response from ordinary circuit behaviour. The paper records the full derivation, the explicit assumptions, the experimental requirements, and related formal energy-scale comparisons. The matching relation itself does not establish a new interaction or an energy-extraction mechanism. Its concrete, fabricable target and the accessibility of the…
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