A Null Test at Galaxy Scales: How Closely the Torsion-Regulated Frame Must Agree with Standard Gravity, and by How Much

This paper computes the change that the torsion-regulated Einstein-Cartan framework, organised by the Aldred Limit, predicts for local circular velocity and surface density of the solar neighbourhood and the local Galactic disc, whose published value is 220 km/s with about one per cent precision. The density of the system, estimated from its published properties by the estimator stated in the Methods, is 6.77e-21 kilograms per cubic metre. At that density the fractional correction to the effective gravitating density is 6.96e-79 on the neutron branch and 2.35e-72 on the electron branch, against a measurement precision of 1 per cent. The predicted change is therefore smaller than the precision by a factor of 1.44e+76 on the neutron branch. Inverting the comparison, the existing agreement excludes carrier masses only below 7.84e-30 electronvolts, and the system would need a density of 9.72e+55 kilograms per cubic metre for the correction to reach one per cent. The result is a null result, stated plainly: this observable neither supports nor meaningfully constrains the framework, and the framework contributes nothing to the interpretation of this system beyond standard gravity. Computed from stated assumptions and published data; not a new measurement.