Weak-Lensing Shear Around MACS J1206.2-0847 in the Torsion-Regulated Frame: A Computed Signal Change

This paper computes the change that the torsion-regulated Einstein-Cartan framework, organised by the Aldred Limit, predicts for tangential shear at 500 kiloparsecs of MACS J1206.2-0847, whose published value is about 0.08. The density of the system, estimated from its published properties by the estimator stated in the Methods, is 6.06e-24 kilograms per cubic metre. At that density the fractional correction to the effective gravitating density is 6.24e-82 on the neutron branch and 2.11e-75 on the electron branch, against a measurement precision of 10 per cent. The predicted change is therefore smaller than the precision by a factor of 1.60e+80 on the neutron branch. Inverting the comparison, the existing agreement excludes carrier masses only below 7.42e-32 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.