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Phenomenological Constraints on Quantum Coherence Reconstructibility Tests

Alex Chenuaud

Published Apr 1, 2026• 0 citations
Publisher

Abstract

In simple terms, this work defines how potential limits to the reconstructibility of quantum coherence can be translated into measurable experimental constraints. It introduces a minimal phenomenological framework for testing possible structural limits to the reconstructibility of quantum coherence in the context of OFID-G. Rather than proposing a new dynamical model, the approach defines an operational residual quantity after calibration of environmental decoherence, and introduces minimal parametrizations of this residual as a function of experimentally controllable parameters. Two generic behaviors are considered: a continuous residual contribution leading to an irreducible floor, and a threshold-like transition beyond a critical parameter value. This framework allows null experimental results to be translated into quantitative constraints, providing a direct interface between conceptual hypotheses and experimental methodologies in mesoscopic quantum systems. This work complements previous experimental proposals by providing a minimal parameterization layer suitable for interpretation and constraint-setting. In line with standard approaches to parameter estimation in quantum experiments, the framework enables systematic constraint-setting from null results.

DOI
10.5281/zenodo.19387852

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In simple terms, this work defines how potential limits to the reconstructibility of quantum coherence can be translated into measurable experimental constraints. It introduces a minimal phenomenological framework for testing possible structural limits to the reconstructibility of quantum coherence in the context of OFID-G. Rather than proposing a new dynamical model, the approach defines an operational residual quantity after calibration of environmental decoherence, and introduces minimal parametrizations of this residual as a function of experimentally controllable parameters. Two generic behaviors are considered: a continuous residual contribution leading to an irreducible floor, and a threshold-like transition beyond a critical parameter value. This framework allows null experimental results to be translated into quantitative constraints, providing a direct interface between conceptual hypotheses and experimental methodologies in mesoscopic quantum systems. This work complements previous experimental proposals by providing a minimal parameterization layer suitable for interpretation and constraint-setting. In line with standard approaches to parameter estimation in quantum experiments, the framework enables systematic constraint-setting from null results.
An operational, dynamics-preserving protocol to test whether quantum coherence reconstructibility in mesoscopic systems is fully captured by calibrated environmental decoherence. A covariance-based deviation Δ is scanned against an effective gravitational parameter Ξ; two signatures — composition invariance and the energy budget (heating/emission) — separate an environmental residual, an objective-collapse mechanism (Diósi–Penrose, CSL), and a structural, energy-conserving residual. A minimal model and a sensitivity forecast for levitated-optomechanics platforms are included. Null results bound residual reconstructibility; a reproducible deviation would test whether any remaining limitation reflects modified dynamics or incomplete local access to the complete physical state.
This work proposes an operational framework, denoted OFID-G, to investigate whether quantum coherence remains fully reconstructible from locally accessible information, even when global unitary evolution is preserved. The framework is formulated within the Ontological Framework of Imbricated Degrees (OFID), in which physical states may involve degrees of freedom that are not fully accessible within a given local observational regime. Within this perspective, OFID-G defines a possible structural limitation on the local accessibility of coherence, without introducing any modification to quantum dynamics. The central concept is regime-dependent reconstructibility: coherence is said to be reconstructible if a single recovery operation, fixed by calibration alone, can operationally recover it across a tomographically informative family of preparations, and non-reconstructible if a persistent limitation remains despite such procedures. This state-independent formulation anchors the criterion in the theory of approximate recoverability of quantum channels. Rather than predicting a specific mechanism, the framework defines a falsifiable structural criterion distinguishing reconstructible and non-reconstructible regimes, based on controlled variation of physically relevant parameters. The approach remains fully compatible with standard quantum mechanics and does not invoke collapse models or deviations from unitarity. Its empirical content lies in testing whether all observed decoherence effects can be fully accounted for by known environmental mechanisms. This provides a minimal and operational test of the completeness of standard decoherence modeling, shifting the focus from dynamical mechanisms to structural limitations of information accessibility. The framework is developed within the OFID research program (DOI: 10.5281/zenodo.18868538); its concrete experimental realization is developed in a companion operational paper (DOI: 10.5281/zenodo.19351945). Project page :https://alexsasfrance.github.io/OFID-framework/
We present a laboratory-constrained phenomenological framework linking controlled quantum coherence experiments to large-scale cosmological observables. Using experimental results from superconducting qubits subjected to structured low-frequency toroidal magnetic fields, we define a dimensionless coherence proxy, κ_lab = 0.728 ± 0.020, which captures both temporal decoherence suppression and spatial field uniformity. This observable is derived directly from measured enhancements in qubit relaxation time (T1), without modification to materials or circuit design. We then introduce a calibrated laboratory-to-cosmology bridge, mapping κ_lab into an effective coupling parameter within a coherence-driven cosmological framework. This mapping enables a quantitative pre-data prediction for an environmental modulation of the Hubble expansion rate:ΔH0/H0 = 0.73^{+0.21}_{-0.18}%,for the benchmark regime m_φ ~ H0 and α = 1. The key contribution of this work is not the assumption of a confirmed cross-scale mechanism, but the construction of a transparent and falsifiable bridge between a laboratory-measured coherence observable and a cosmological testable quantity. The prediction lies within the sensitivity range of DESI Year 3, enabling a clear binary test: • Detection of a ~0.5–1.0% environmental step supports the viability of scale-bridging coherence dynamics.• A null result constrains the phenomenological bridge while preserving the laboratory result as an independent demonstration of environmental coherence engineering. This approach establishes a new paradigm in which controlled quantum systems can serve as quantitative anchors for testing phenomenological extensions of large-scale physics, connecting laboratory coherence and cosmological expansion in a falsifiable framework.
This work proposes a phenomenological formulation of a decoherence principle that relates the degree of suppression of quantum coherence to the integral of the squared effective environmental field in the physical systems and experimental configurations analyzed in this paper. The environment is treated as a set of effective physical influences relevant to a specific experimental or physical configuration and acting on the system. The applicability of the proposed principle is analyzed using seventeen experiments and observations spanning microscopic, mesoscopic, macroscopic, and cosmological scales. Seven key experiments are analyzed quantitatively and in detail, while the remaining ones are presented as supporting the broad applicability of the proposed phenomenological approach. This publication is part of a broader conceptual program aimed at providing a unified phenomenological description of decoherence and attenuation processes. The framework is fully consistent with standard quantum mechanics and should be viewed as an organizing perspective rather than a proposal of new dynamics.
Experimental practice in high-energy physics relies on an implicit methodological assumption: that the quantum coherence of a well-defined subsystem can be treated as independent of the global structural complexity of the entire event. While this assumption underlies standard factorized descriptions and has proven extraordinarily successful, it has not been explicitly formulated nor empirically tested as a standalone hypothesis. This work makes that implicit assumption explicit and proposes a systematic empirical test of coherence invariance with respect to global event complexity. The contribution is methodological rather than phenomenological: no new particles, mechanisms, or specific experimental effects are predicted. Instead, the paper formulates a falsifiable null hypothesis asserting statistical consistency of a subsystem coherence observable across variations in event-level structural complexity, and outlines a conceptual experimental protocol suitable for LHC environments. The proposal is deliberately distinct from standard decoherence or open-quantum-system analyses. It does not model environmental coupling or dynamical loss of coherence, but tests the empirical validity of the commonly assumed independence between subsystem-level quantum correlations and global many-body event structure. By identifying coherence invariance itself as an empirical assumption and rendering it testable, this work delineates the domain of validity of factorized quantum descriptions in high-energy experiments and provides a clean methodological framework for future experimental scrutiny.
We develop a formal extension of the constraint cascade framework by connecting it with the density matrix formalism and decoherence theory in open quantum systems. In this perspective, sequences of constraint operations are modeled as completely positive quantum maps acting on density matrices, progressively suppressing coherence through cascade-like dynamics. Under suitable contractive conditions, repeated application of such maps leads to the decay of off-diagonal density matrix elements, producing projection-like behavior as an effective emergent limit. This framework suggests that quantum measurement may be interpreted not as a single instantaneous collapse, but as a structured sequence of physical operations coupled with decoherence processes. The proposed approach remains phenomenological and conceptual rather than fully dynamical. Its purpose is not to introduce a new quantum theory, but to provide a structural language connecting quantum operations, decoherence, and effective projection behavior within a unified cascade-based viewpoint. This work further develops the conceptual foundations that later evolved into the Adaptive Constraint Cascade (ACC) framework and its emphasis on continuous structural transitions between effective physical regimes.