OFID-G: Operational Framework for Quantum Coherence Reconstructibility

Overview

OFID-G extends the conceptual framework of OFID toward experimentally meaningful regimes by introducing a precise operational notion of local reconstructibility of quantum coherence.

The central issue is not whether coherence is dynamically destroyed, but whether it remains fully reconstructible once all admissible local procedures have been taken into account under the operational constraints defining a regime.

In this perspective, local non-reconstructibility does not imply ontological information loss or a breakdown of global unitarity. It instead refers to the possible existence of a regime-dependent ceiling on reconstruction fidelity that persists even under idealized refinement of admissible local operations.

OFID-G is therefore conceptually distinct from both standard decoherence and collapse models: it does not introduce a new dynamical law, but formulates a structural criterion concerning the accessibility of coherence and the possible existence of non-reconstructible regimes.

Operational criterion

Within OFID-G, coherence is said to be locally reconstructible if there exists a physically admissible local procedure allowing recovery arbitrarily close to a calibrated reference regime in which coherence is controlled.

Conversely, coherence is locally non-reconstructible if no such admissible procedure exists within the operational domain defining the regime, even in principle. More precisely, this means that there exists a non-zero ceiling on the maximal achievable reconstruction fidelity under all admissible local procedures.

This criterion is regime-relative and structural. It is not meant to describe practical difficulty, computational complexity, or incomplete laboratory control, but a limit that would persist even under idealized optimization of local operations.

Differential test logic

OFID-G does not predict a decoherence rate. It predicts the possible existence of a regime boundary.

Its empirical structure is differential: a reconstruction protocol is first calibrated in a controlled regime, then a monotonic control parameter λ, representing an effective gravitational configuration, is varied, and one asks whether a persistent reconstruction ceiling appears that correlates specifically with this parameter rather than with non-gravitational technical variables.

If reconstructibility always remains achievable under admissible operations across the explored finite domain, OFID-G is falsified. Conversely, a stable upper bound on reconstruction fidelity correlated with the gravitational control parameter would constitute evidence for non-reconstructibility in the operational sense defined here.

A concrete implementation of this logic through state reconstruction and covariance-based deviations is developed in the Experimental framework.

Conceptual position

OFID-G complements rather than competes with environmental decoherence. Standard decoherence explains how phase information becomes effectively inaccessible through coupling to environmental degrees of freedom while global unitarity is preserved.

By contrast, OFID-G asks whether a residual limit of reconstructibility may remain even after all known non-gravitational decoherence channels have been independently characterized and controlled.

It is likewise distinct from collapse models such as GRW, CSL, or Diósi–Penrose-type proposals, because it does not attribute the loss of coherence to a new stochastic or gravitationally induced dynamical suppression. Its target is instead a structural limit of accessibility.

Preprint

Keywords