Structural Non-Reconstructibility in Quantum Systems: Operational Formulation of OFID-G

This work introduces OFID-G as an operational framework in which quantum coherence may not always be fully reconstructible from locally accessible information, even when global unitary evolution is preserved. It formulates this conjecture within the Ontological Framework of Imbricated Degrees (OFID). Within OFID, physical states may involve imbricated degrees of structure that are not fully deployable within a given local descriptive regime. In this perspective, OFID-G proposes a structural limitation on the local accessibility of coherence rather than a modification of quantum dynamics. The central concept is regime-relative local reconstructibility: coherence is said to be reconstructible if it can be operationally recovered using all admissible local procedures, and non-reconstructible if a fundamental ceiling persists despite such procedures. The conjecture predicts the possible existence of a finite parameter domain in which reconstruction fidelity cannot be restored beyond a regime-dependent bound, even under idealized local control. This defines a falsifiable structural criterion distinguishing reconstructible and non-reconstructible regimes without invoking collapse mechanisms or deviations from global unitarity. The framework is formulated in operational terms and remains fully compatible with standard quantum mechanics. Its empirical content lies in a differential test based on controlled variation of gravitationally relevant parameters. The result is a testable proposal that shifts the focus from dynamical decoherence to structural limits of information accessibility. Project page (experimental framework, OFID-G, and OFID): https://alexsasfrance.github.io/OFID-framework/