AME peak frequencies range from 20 to above 40 GHz across environments in ways local conditions fail to predict: similar regions show different peaks, modeled trends contradict the data, and the correlation with measurable ISM parameters runs weaker than local-force physics requires (Planck 2014; Hensley and Draine 2017). Something sets grain rotation that the local inventory does not include.
The spinning-dust framework spins every grain with local forces, so the peak frequency must be a function of measurable local conditions. A rotation distribution with a non-local component breaks the function: regions with matched conditions can differ, and the model is reduced to fitting each cloud after the fact.
SCT names the missing contributor: inheritance. Grain populations condense from material carrying its angular momentum history down the J ∝ M^(5/3) ladder (P31, P32), so each cloud's rotation distribution holds an inherited component fixed by where its material sits in the larger angular momentum architecture, not by its present density and radiation field. Two clouds with matched local conditions but different positions in the Galactic J environment then peak at different frequencies, exactly the pattern that defeats the local-function model, while the weak local correlations are the expected signature of a two-component distribution in which only one component answers to local physics.
This is the same reading as the parent AME anomaly (recid 190), sharpened to its most testable form: peak frequency becomes a mappable tracer of the inherited rotation field. The registered discriminant follows: peak-frequency residuals, after subtracting the best local-physics prediction, should correlate spatially with the larger-scale angular momentum structure, coherent over the scales the inheritance architecture organizes rather than scattering cloud by cloud. CMB foreground campaigns mapping AME across the sky collect precisely this statistic in passing. The inheritance ladder is in Paper 5, From Chaos To Corotating Hierarchies, with the deposited diversity context in Paper 4, From Chaos To Collisothermal Cosmogenesis.
Keystone economy: P32 supplies the non-local component; the residual map is its fingerprint.
The registered kill: if refined spinning-dust physics, better grain-size distributions, torque models, and damping inventories, eventually predicts the observed peak-frequency map from local parameters alone, with residuals consistent with noise, the inherited component is unnecessary. SCT separately requires the residuals to be spatially coherent along the angular momentum architecture; residuals scattering incoherently cloud by cloud would refute the inheritance fingerprint even while the local models still fail.