What question did this study set out to answer?

The research aims to predict deviations from standard Born statistics under specific conditions in quantum mechanics.

May 8, 2026Open Access

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

Key Points

The research aims to predict deviations from standard Born statistics under specific conditions in quantum mechanics.
Developed a theorem based on the One-Loop Path-Integral Form and the IMM action structure.
Proposed a Circuit-QED experiment for measurement at epsilon=10^-3 over 27 seconds for detection.
Outlined conditions for falsification over 3 days at epsilon >= 10^-5.
P_IMM(i) = ||^2 + epsilon*(||^2 - 1/n)*F(x) demonstrated a unique deviation from traditional Born statistics.
Detection at 3-sigma level confirmed theoretical predictions under proposed experimental conditions.
Significant features include restoration of quantum mechanics at uniform Delta and uniqueness in sign change at P_QM=1/n.

Abstract

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.

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

Key Points

Abstract

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