Physica Scripta
A low-energy interferometric test of coherence-dependent light propagation
Chakir Fikri
Abstract
Abstract The conceptual tension between quantum nonlocality and relativistic causality motivates scenarios in which Lorentz invariance is an emergent rather than fundamental symmetry. Within such scenarios, optical propagation may retain a weak dependence on properties of an underlying quantum substrate, including the coherence of nearby quantum systems. We introduce a phenomenological model in which optical propagation depends weakly on the quantum coherence of a nearby ancillary control system. To test this hypothesis, we propose a quantum-controlled Mach–Zehnder interferometric (MZI) protocol comparing coherent and incoherent ancillary states having identical populations. Standard quantum mechanics predicts identical photon-counting statistics in both configurations, whereas the proposed phenomenological model predicts additional stochastic phase fluctuations leading to an excess phase-noise variance in the coherent-control configuration. We derive the corresponding statistical sensitivity, discuss possible implementations based on state-of-the-art fiber MZIs, and estimate illustrative experimental bounds on the coherence–propagation coupling parameter.