This study analytically investigates thermal-rotational coupling in a cryogenically cooled (5 K) superconducting torus under moderate rotation. Using a classical, non-dissipative model, we assess the impact of rotation on thermal distribution, magnetic flux stability, and energy conservation. Results show negligible coupling at low temperatures and rotation rates (ω ≤ 10 rad/s), with Péclet (Pe = 1000) and magnetic Reynolds (Re_m ≈ 0.125) numbers confirming minimal convective and electromagnetic effects. Parametric analysis extends these findings to higher temperatures and velocities, while quantum effects are evaluated for broader applicability. Our work validates classical heat conduction models, simplifies system design, and proposes an experiment for validation. These findings enable more efficient designs for fusion reactors, precision gyroscopes, and energy storage systems, reducing costs and enhancing reliability.

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