Superconducting Levitated Microrotors: A Space-Time Ladder Theory Hypothesis for Gauge-Field Coupling and Experimental Tests

Recent developments combining cryogenic superconducting levitation with high-speed micrometric magnetic rotors have provided a new experimental platform for studying weak forces, magnetic-field response, and dissipation in macroscopic rotating systems. An experiment published in 2026 demonstrated a NdFeB magnetic microsphere rotor levitated by the Meissner effect of a lead superconductor, reaching a rotation frequency above 2.3 MHz with an extremely low damping rate. This system offers new possibilities for precision dynamical measurements and fundamental-physics tests. Building on classical rotor dynamics and superconducting levitation physics, this paper proposes a minimal gauge-field coupling hypothesis within the framework of the Space-Time Ladder Theory (STLT): where denotes the gauge-field strength variable in the STLT framework, is the mechanical angular velocity of the rotor, is an effective topological coupling number that remains to be operationally defined and independently calibrated, and is a coupling coefficient to be constrained experimentally. This relation is currently a theoretical hypothesis, not an experimentally validated universal law. This paper further establishes a classical damping budget and a residual-damping analysis framework, and proposes a four-stage experimental test path: pressure scanning, magnetic-field response, flux-state modulation, and long-term orbital observation. The central question is whether the dynamical response of the macroscopic rotor can be fully explained by known classical mechanisms, or whether there exists a reproducible, independently calibratable additional effect with a definite parameter dependence. This paper does not claim that dark matter has been detected in existing experiments. It proposes a candidate STLT coupling framework that can be tested, constrained, or falsified by future experiments.