A Statistical Quantum-Correlation Inference Framework: Statistical Remote-Action Inference, Entanglement Controls, Causal Validation, and a Conditional Human-Level Communication Horizon

Abstract

This work proposes a falsifiable framework for testing statistical remote-action inference in pre-established entangled quantum systems. Rather than assuming physical message transmission, Bob analyzes local measurement records to determine statistically whether they contain information about Alice’s later local choice. Human-level communication is treated only as a conditional application of validated statistical inference. Standard quantum-mechanical no-signaling is explicitly adopted as the null hypothesis: if Bob’s conditional reduced states are identical, all locally accessible distinguishability, mutual information, and channel capacity vanish. Large ensembles can amplify existing distinguishability but cannot create information from identical distributions. The proposal combines full-distribution analysis, randomized and blinded acquisition, entangled and non-entangled controls, likelihood decoding, finite-sample uncertainty bounds, power analysis, and verified spacelike separation. A three-gate validation hierarchy requires blind statistical validation, entanglement-specific differential evidence, and independent spacelike replication. If the null prediction is confirmed, no inference channel exists. If a reproducible effect survives all controls and yields positive information capacity, the framework provides a mathematical route from statistical inference to reliable human-readable message reconstruction, while requiring independent physical explanation of the observed effect.

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