Born's rule deviations from temporal non-local effects

TL;DR

This paper explores how deviations from Born's rule occur due to temporal non-local effects in quantum systems, revealing non-exponential decay and challenging traditional quantum probability interpretations.

Contribution

It introduces a quantum-hydrodynamic framework showing that transit-interference and memory effects cause finite-time non-local correlations, leading to Born's rule violations.

Findings

Finite-time non-local correlations induced by transit-interference.

Non-exponential decay in survival probability at intermediate times.

Potential implications for experimental tests of quantum non-locality.

Abstract

We investigate deviations from Born's rule in quantum systems where the quantum-equilibrium hypothesis, $\rho \neq |\Psi|^2$, fails. Using the quantum-hydrodynamic framework, we show that transit-interference phenomena and intrinsic memory effects induce finite-time non-local correlations, resulting in violations of Born's rule. These effects appear as non-exponential decay in the survival probability of unstable states at intermediate timescales. Our findings challenge conventional interpretations of quantum probability and suggest novel dynamics that could guide future experimental investigations of temporal non-locality.