Quantum Coherence Reconstructibility

Conceptual architecture

The OFID project is organized around four complementary levels.

• OFID introduces the conceptual and ontological framework.
• OFID-G formulates a testable operational notion of non-reconstructibility.
• Experimental proposes a concrete mesoscopic protocol based on state reconstruction.
• Constraints translates possible null results into quantitative bounds on residual effects.

Taken together, these texts define a coherent progression from conceptual structure to operational criterion, from experimental observable to phenomenological constraint.

This structure provides a consistent framework for investigating reconstructibility as an operational question, rather than as a modification of quantum dynamics.

OFID: conceptual background

OFID proposes that physical reality may include degrees of freedom that remain structurally inaccessible beyond the domain of locally accessible observables.

This framework does not introduce new dynamical laws. Instead, it provides a structural distinction between global ontological reality and regime-dependent local accessibility, with possible consequences for how decoherence, measurement, and reconstructibility are interpreted.

In this broader perspective, any observed limitation to reconstructibility would not replace standard environmental decoherence, but could indicate that its operational completeness depends on deeper accessibility constraints.

OFID-G: operational formulation

OFID-G extends the conceptual proposal toward experimentally testable regimes by introducing a regime-relative notion of local reconstructibility of quantum coherence.

Its key question is not whether coherence is dynamically destroyed, but whether it remains fully reconstructible once all admissible local operations and known decoherence channels have been taken into account.

In this framework, a residual limitation correlated with gravitational configuration would not signal a failure of quantum mechanics, but rather a structural limit of accessibility that is not reducible to standard decoherence alone.

Experimental perspective

The experimental proposal focuses on mesoscopic systems in which reconstructibility can be probed through statistical state estimation under controlled variations of an effective gravitational configuration.

The proposed observable is defined from the deviation between the measured covariance matrix after evolution and the covariance matrix predicted from the reconstructed initial state, under standard quantum dynamics with calibrated environmental decoherence.

The relevant signature is therefore not merely a loss of coherence, but a residual, reproducible, and parameter-dependent failure of full reconstruction after known environmental effects have been independently characterized and controlled.

Candidate platforms include levitated optomechanical systems, matter-wave interferometry, and related mesoscopic implementations where quantum state reconstruction is experimentally accessible.

Phenomenological constraints

The phenomenological extension introduces a minimal framework for translating experimental outcomes into quantitative constraints on possible residual limitations to reconstructibility.

Rather than introducing a specific dynamical model, it defines an operational residual quantity after independent calibration of known decoherence channels and expresses it in terms of an effective scan parameter built from experimentally controllable quantities.

Two generic classes of behavior are considered: a continuous residual contribution leading to an effective irreducible floor, and a threshold-like behavior associated with the onset of a transition beyond a critical parameter value.

Within this framework, null experimental results can be interpreted either as upper bounds on a continuous residual amplitude or as lower bounds on a possible transition threshold.

Scope and interpretation

The present framework is intended as a structural and operational extension of standard decoherence, rather than as a modification of quantum mechanics. Its purpose is to clarify under which conditions reconstructibility of quantum coherence may remain operationally complete.

Does this framework introduce new physical dynamics?

No. The OFID and OFID-G frameworks do not modify the dynamical laws of quantum mechanics. They operate entirely within standard unitary evolution and focus instead on the structure of accessibility to quantum degrees of freedom.

How does this differ from standard environmental decoherence?

Environmental decoherence describes the redistribution of coherence into external degrees of freedom. The present approach addresses whether reconstructibility itself may be subject to structural limitations, even after all known decoherence channels have been independently characterized and controlled.

Does this imply a breakdown of unitarity?

No. Global unitarity is preserved. Any limitation considered here concerns local reconstructibility, not the underlying quantum evolution.

What type of experimental signature is considered?

The framework focuses on residual, reproducible deviations in reconstructibility after calibration of environmental decoherence. Two generic regimes are considered: a continuous residual contribution and a threshold-like transition beyond a critical parameter range.

What would falsify this approach?

The absence of any deviation from standard decoherence across all experimentally accessible regimes would progressively constrain the existence of such structural limitations, translating into upper bounds on residual effects or lower bounds on possible transition thresholds.

Related works

Keywords