Characteristic Shear at the Photon Sphere Against the Aldred Shear Threshold

The Aldred shear threshold, the largest shear a spin-torsion bounce can survive, is 8.56e32 per second. The characteristic shear scale at a black hole's photon sphere, estimated by the Keplerian angular frequency there, is 6.01e-06 per second for M87* and 9.09e-03 per second for Sagittarius A*: fractions 7.02e-39 and 1.06e-35 of the threshold, some 35.0 orders of magnitude below it even for the smaller, faster source. Converted to shear-equivalent densities the figures are 1.20e-19 and 2.74e-13 kilograms per cubic metre against a threshold density scale of a quarter of the Aldred density. Shear near imaged horizons is therefore as remote from the torsion bound as density is, and bounce-survival arguments have no application to the dynamics of these systems. The computation also returns a useful by-product: the shear ladder with radius, falling as the three-halves power, which sets the shear environment any horizon-scale emission model actually works in. Computed; not measured.