The Hermes Equation: Cluster Lensing from a Frozen Galaxy Gate

The Hermes equation (McGinty 2026a) was built for disk-galaxy rotation curves: two measured inputs, no adjustable constants per galaxy. On 133 SPARC galaxies, at SPARC's unit stellar mass-to-light normalisation, it is competitive with MOND; at the usual 0.5 for disks and 0.7 for bulges, MOND fits better. We apply its gate unchanged, with no new constants, to published CLASH lensing profiles and baryon models for seven relaxed clusters, fitting one amplitude K per cluster. Three results follow. First, under the published gas continuation, the gate's radial shape fits the lensing profiles better than MOND's (χ²/dof = 1.617 against 2.313), but a constant rescaling of the baryons with no gate fits better than both (1.243). Second, the Hermes equation's amplitude is fitted, at K ≈ 4 under the published continuation; its shape is not. Third, because wear enters as one number per cluster, K absorbs age exactly, so this test constrains the gate, not the age clock. Under an alternative outer-gas treatment MOND fits best, and the rescaling still beats the Hermes equation. This is a proof of concept, and an invitation to break it.