The PIMM Born Deviation: A Falsifiable Prediction of Sign-Reversing Probability Corrections in Spectral-Gap Gradient Backgrounds

Theorem (One-Loop Path-Integral Form) + Falsifiable Prediction. Under the IMM action structure, with probability normalization as the only constraint, the deviation from standard Born statistics is forced to be PIMM (i) = ||² + epsilon* (||² - 1/n) *F (x) with F (x) = |grad Delta|² / (|grad Delta|² + Delta₀²). Three discriminating features: vanishes at uniform Delta (recovers QM), changes sign at PQM=1/n (no decoherence model produces this), spatially structured by spectral gradient. Circuit-QED experiment proposed: 27-second measurement at epsilon=10^-3 for 3-sigma detection; 3-day falsification at epsilon >= 10^-5. The framework's principal experimental kill shot. Inherits from Paper 0 (axioms A1, A4, A5, A6) ; builds on Papers 4 and 5.