Spin Density and Torsion Energy in Superfluid Helium-3 Compared with Condensation Energy

This paper examines whether spin-torsion energy in fully polarised superfluid helium-3 could compete with the condensation energy that stabilises the superfluid phases. The system considered is liquid helium-3 at a number density near 1.6 x 10^28 per cubic metre, and the observable is torsion energy density set against condensation energy density. Evaluating the ordinary behaviour of the system and the spin-torsion contribution under explicit assumptions about polarisation and uniformity, and inverting the comparison at the stated laboratory precision, gives a quantitative bound rather than a qualitative assertion of smallness. The computed record is: number_density_per_m3 = 1.620e+28; torsion_energy_density_J_m3 = 3.251e-39; condensation_energy_density_J_m3 = 58.15; ratio_torsion_to_condensation = 5.591e-41; Tc_K = 0.0026. The torsion-related contribution is far below the level that would alter the ordinary behaviour of the system at current precision, and the value that would have produced a visible residual is stated so that future improvements can be assessed against it directly. No new measurement is reported. This study is simulated and computed from stated assumptions, not measured.