Nonlocal Jamming in Complex Space--Time: Constraints, Equilibrium, and Testable Deviations from Quantum Mechanics

This work introduces a theoretical framework for nonlocal hidden-variable models based on “complex jammers”, defined over a structured parameter space extending standard space–time. The framework is designed to explore whether hidden nonlocal mechanisms can modify quantum correlations while remaining consistent with relativistic causality and the no-signalling principle. A central result establishes that exact operational indistinguishability from quantum mechanics forces the effective dynamics to reduce to the identity channel. This implies that any hidden mechanism that is completely invisible at the level of observable statistics must be dynamically trivial. Prior to this regime, we show that admissible dynamics is already strongly constrained: it must preserve all local marginals and can only act on correlations. Beyond equilibrium, the framework predicts a restricted class of deviations from quantum mechanics. In particular, we derive a minimal geometric mechanism leading to anisotropic corrections of the form cos²(θ), arising from axial symmetry defined by the experimental configuration. These deviations induce measurable, orientation-dependent distortions in Bell-type correlations. An explicit two-qubit model is constructed, and angle-dependent CHSH bounds are obtained. The results define a concrete experimental program based on high-precision Bell tests, capable of probing structured deviations from standard quantum predictions. The work does not propose a complete dynamical hidden-variable theory, but rather a set of physically motivated constraints on possible nonlocal extensions of quantum mechanics, together with falsifiable signatures that can be tested with current experimental platforms.