A Torsion-Coupled Flywheel: Energy Storage in a Spin-Polarised Rotor Limited by Shear at the Aldred Density

This paper presents a complete design study of the device studied here is a solid cylindrical steel rotor, 0.60 m in diameter and 0.40 m long, whose material is taken to be spin-polarised so that torsion in the Einstein-Cartan sense supplies an additional internal pressure opposing the centrifugal hoop stress, derived from stated assumptions and computed throughout by the accompanying script. The unpolarised baseline rotor reaches a rim speed of 392.2 m/s and a specific energy of 38.46 kJ/kg. At a polarised fraction of 0.20 the specific energy rises to 50.77 kJ/kg, a gain of 32.0 percent, and the reference rotor of 882.2 kg stores 44.79 MJ in total. Every figure in the study is a computed result of the stated model and nothing was built or tested: the study is SIMULATED, NOT MEASURED, and its limits are stated as plainly as its performance.