Testing Quantum Coherence Reconstructibility in Mesoscopic Systems

This work proposes an operational, dynamics-preserving protocol to test whether the limitations to quantum coherence reconstructibility observed in mesoscopic systems are fully captured by calibrated environmental decoherence. A covariance-based deviation observable Δ, comparing the statistically reconstructed state with the calibrated standard prediction, is scanned against a controlled parameter, with the environmental model calibrated on control axes orthogonal to the scan. An effective parameter Ξ — combining mass, delocalization, interrogation time, and gravitational configuration — provides a unified coordinate across experimental regimes. Prior equivalence-principle bounds (MICROSCOPE) and three in-situ signatures act as successive filters on the admissible explanations for any residual: composition invariance, formulated as a scaling collapse in Ξ; the energy budget — secular heating and spontaneous radiation — which constrains objective-collapse models (Diósi–Penrose, CSL); and electromagnetic selectivity. An exactly solvable two-mode model shows that a reproducible, recalibration-robust residual can arise from incomplete access alone, distinct from a calibration shortfall or a modified dynamics. Two elements are accessible on current levitated-optomechanics platforms: exclusion bounds resolved by coupling form, and, conditional on any detected anomaly, a diagnostic stage in which the same scan axes measure its exponents and identify its origin. Detecting the residual itself at an order-unity reference amplitude would require extending Ξ by some eleven orders of magnitude, a gap quantified by a transparent sensitivity forecast. An outlook introduces two coherence-sensitive discriminators — a configuration echo and hidden-sector-mediated two-system entanglement — which would, should a residual ever be detected, probe the unitarity of the mechanism itself. Null results constrain residual reconstructibility; a reproducible parameter-dependent deviation would test whether any remaining limitation reflects a modification of the dynamics, incomplete local access to the complete physical state, or an equally universal, non-switchable exotic coupling. Project page :https://alexsasfrance.github.io/OFID-framework/