Constraining the Constrained: Statistical Stress-Testing of the Spectral–Geometric AM-Regulator across Physical Scales

The author presents a statistical stress test of the spectral–geometric Additive–Multiplicative (AM) Regulator framework by explicitly constraining the regulator itself and examining its behavior across laboratory, astrophysical, and cosmological datasets. Using Fisher-style hypothesis testing, the author assess whether the regulated accumulation model remains consistent with empirical data from laminar flow, black hole observables, Einstein gravity, dark matter phenomenology, and dark energy expansion. The author deliberately pushes the regulator to its breakdown limits by over-constraining spectral suppression and testing regimes of extreme accumulation. The author shows that while the model fails gracefully beyond identifiable thresholds, it retains statistical consistency within experimentally accessible regimes, indicating that the regulator operates as a conditional closure rather than an absolute law. This work establishes falsifiability, domain limits, and survival criteria for the AM-regulated spectral geometry framework.