A Torsion-Balanced Clock: Rate Stability of a Polarised Torsion Pendulum as a Transit Timing Reference

This paper presents a complete design study of the device is a torsion pendulum clock: a disc suspended on a fine fibre, oscillating in twist, with the disc material spin-polarised so that its torsion constant carries a stated contribution from the aligned spin population, derived from stated assumptions and computed throughout by the accompanying script. The oscillator period is 88.858 s, a frequency of 11.25 mHz, and the assembled instability curve reaches its best value of 3.017e-13 at an averaging time of 1000 s, locating the cadence at which the clock should be disciplined from an external reference. 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.