This accepted manuscript is structurally governed by THE META-INDEX (Zenodo DOI: 10.5281/zenodo.18169167) This paper introduces the A–B Transition Ontology as a structural completion criterion layered onto standard unitary quantum evolution. Rather than treating the wave function as an indeterminate ontological state, we interpret it as a regime of structured incompletion between a potential configuration (A) and a realized outcome (B). Central to the framework is Process Resistance (ρ), defined as an action-barrier proportional to the system’s maximal information capacity, ρ = αℏ ln(D_eff). Completion is modeled as a rate-limited accumulation of action governed by environmental coupling and intrinsic energy scales, yielding a characteristic transition time τ = ρ / (E_int + ℏ(γ + Γ)). In the limit of vanishing environmental interaction, the model predicts a structural lower bound on completion time (Saturation Lag), τ_min = ρ / E_int. For superconducting qubits (f ≈ 5 GHz), this lag lies in the picosecond regime. The framework does not modify linear quantum dynamics; instead, it proposes a completion criterion consistent with decoherence theory and information thermodynamics, offering a structurally constrained interpretation of quantum-to-classical emergence.
This accepted manuscript is structurally governed by THE META-INDEX (Zenodo DOI: 10.5281/zenodo.18169167) This paper introduces the A–B Transition Ontology as a structural completion criterion layered onto standard unitary quantum evolution. Rather than treating the wave function as an indeterminate ontological state, we interpret it as a regime of structured incompletion between a potential configuration (A) and a realized outcome (B). Central to the framework is Process Resistance (ρ), defined as an action-barrier proportional to the system’s maximal information capacity, ρ = αℏ ln(D_eff). Completion is modeled as a rate-limited accumulation of action governed by environmental coupling and intrinsic energy scales, yielding a characteristic transition time τ = ρ / (E_int + ℏ(γ + Γ)). In the limit of vanishing environmental interaction, the model predicts a structural lower bound on completion time (Saturation Lag), τ_min = ρ / E_int. For superconducting qubits (f ≈ 5 GHz), this lag lies in the picosecond regime. The framework does not modify linear quantum dynamics; instead, it proposes a completion criterion consistent with decoherence theory and information thermodynamics, offering a structurally constrained interpretation of quantum-to-classical emergence.
This accepted manuscript is structurally governed by THE META-INDEX (Zenodo DOI: 10.5281/zenodo.18169167) This work introduces an α-scaled phenomenological threshold model for ontological latency in quantum systems. The framework proposes that ultra-fast quantum operations are constrained not only by the standard time–energy uncertainty relation but also by a structural interaction rhythm governed by the fine-structure constant (α ≈ 1/137). A minimal ontological time constant, τ_B = 1/(αω), is defined, introducing a resistance layer to instantaneous state realization without modifying linear quantum mechanics. The model predicts a threshold-gated decoherence regime emerging when operational durations approach τ_B (≲ 5 ns for 5 GHz transmon qubits). Numerical estimates are provided together with explicit falsifiability criteria, including frequency-dependent threshold scaling (τ_B ∝ 1/ω) and nonlinear error growth correlated with an exponential gating function. The framework remains consistent with low-energy precision experiments while identifying a potentially testable ultra-fast error regime.
This accepted manuscript is structurally governed by THE META-INDEX (Zenodo DOI: 10.5281/zenodo.18169167) Quantum theory achieves unparalleled empirical success, yet it remains ontologically incomplete with respect to the nature of transitions between physical states. While quantum states are rigorously defined, the process by which a system moves from a potential state to a realized state is typically treated as instantaneous, probabilistic, or measurement-dependent, leaving the transition itself conceptually unexamined. This structural omission underlies several persistent foundational problems, including the measurement problem and the ambiguous status of probability. In this work, quantum behavior is reinterpreted not as an intrinsic property of discrete entities, but as the manifestation of threshold organization governing stable transitions between states. To formalize this perspective, the concept of an Organizational Field (OF) is introduced. The Organizational Field is defined as a topological–temporal regulatory structure that constrains admissible transitions without functioning as a force, energy carrier, or particle field. Within this framework, quantization emerges as a consequence of stability regulation during transitions rather than fundamental discreteness. The fine-structure constant α is accordingly reinterpreted not as a fundamental coupling parameter, but as the stability-band signature of the Organizational Field as projected onto electromagnetic processes. This interpretation accounts for the dimensionless character of α, its small but nonzero value, and its universality across physical scales, without attempting to derive its numerical magnitude. A conceptual distinction is drawn between π as a constant of static geometric form and α as a constant of dynamic transition stability. The framework yields falsifiable predictions, including the existence of micro-band structures in transition statistics and context-sensitive deviations under extreme conditions. The proposed model offers a structural completion of quantum theory by introducing an explicit ontology of transition grounded in threshold organization
This accepted manuscript is structurally governed by THE META-INDEX (Zenodo DOI: 10.5281/zenodo.18169167) Modern quantum mechanics represents an unprecedented computational success in the history of physics, predicting the outcomes of subatomic processes with extraordinary accuracy. Despite this mathematical precision, however, the ontological status of quantum phenomena remains unresolved. This work argues that quantum mechanics correctly describes how systems behave, but fails to explain what quantum phenomena actually are. Concepts such as uncertainty, probability, and superposition are shown to be epistemic constructs—tools that describe incomplete transitions rather than fundamental properties of reality. Through a series of thought experiments and an A–B transition framework, this paper proposes that quantum phenomena should be understood as a constrained and harmonious transition regime between potentiality (A) and realized outcome (B). In this view, quantum is not a domain of indeterminacy, but the physics of becoming: a regulated ontological interval in which outcomes have not yet formed, rather than existing in an indeterminate state. This reinterpretation offers a coherent ontological foundation for quantum mechanics without invoking intrinsic randomness or observer-dependent reality.
Starting from the thermodynamic limit of information recording, this paper derives a complete, universal decoherence formula consisting of three linked equations: 1. A **non-zero lower bound on the decoherence time** of a quantum system: `τ_min = (ℏ / k_B T) · (1 / ln N_eff)`, where `N_eff` is the number of effective environmental degrees of freedom participating in the irreversible recording of the system's information. 2. A **quantitative criterion for the macroscopic–microscopic boundary**: `N_eff^(c) = exp( ℏ / (k_B T · T_sys) )`, where `T_sys` is the characteristic evolution time of the system. When `N_eff > N_eff^(c)`, decoherence completes before a single coherent evolution, and classical behavior emerges. 3. A **thermodynamic lower bound on interference fringe visibility**: `V ≥ exp( − ln N_eff / ln N_eff^(c) )`, derived from the first two equations without additional assumptions. The first equation predicts a *saturation effect*: the decoherence time no longer shortens indefinitely as environmental coupling increases. The second shows that for nearly all laboratory-accessible systems, `N_eff^(c) ≈ 1`, meaning any non-zero environmental coupling suffices to trigger the transition—explaining why macroscopic objects are inevitably classical. The third provides a directly measurable observable for the continuous quantum–classical phase transition. The framework is universal, applies to any quantum system in contact with an environment at temperature `T`, and its three core predictions are independently falsifiable. Based on the boundary criterion, wave–particle duality in double-slit experiments is reinterpreted as a special case of this phase transition occurring under the limiting condition `N_eff^(c) ≈ 1`. Three experimental schemes—a decoherence-saturation ratio test, a temperature-dependence test of the boundary criterion, and a direct observation of the continuous wave–particle transition via ultrafast electron diffraction or circuit QED—are proposed, all feasible on existing quantum information platforms without requiring new equipment.
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/
This work develops a process-based interpretation of quantum teleportation, quantum switching, and time, grounded in discrete process graphs rather than continuous space–time dynamics. We introduce a formal framework in which the fundamental unit of physical evolution is not the quantum state itself, but a discrete process step (process tact), represented as a unitary transformation acting on a structured process graph. Quantum teleportation is reinterpreted as a transition between isomorphic index layers of the same process graph, rather than as a transmission of a quantum state through space–time. In this framework, entanglement establishes a shared structural constraint, measurement performs index selection, and classical communication transfers index information only. The quantum state remains invariant under graph isomorphism, and teleportation is formalized as reindexation without a physical carrier. Time is shown to emerge as an ordering relation between process steps and index layers, not as a fundamental parameter. Changes in temporal ordering correspond to transitions between equivalent graph embeddings, enabling a natural interpretation of temporal displacement as index reassignment within a recursive process structure. Geometrically, these ideas are represented using recursive pentagon–pentagram embeddings, which serve as an exact structural analogy for quantum switching. The pentagram functions as a universal quantum switch, mediating transitions between distinct but isomorphic orderings. This construction provides an intuitive and mathematically consistent representation of indefinite causal order. The framework is directly connected to EPR correlations, quantum teleportation protocols, and the quantum switch, and is shown to be naturally compatible with the Everett (many-worlds) interpretation of quantum mechanics. Within this ontology, the wave function is treated as an objective process structure, and no collapse postulate is required. This work builds upon and extends previously published results on graph-based quantum key switching and emergent space–time structure, unifying them into a single process-theoretic description of quantum information transfer, causal order, and temporal indexing. Reference to previous foundational work: DOI 10.5281/zenodo.18498181. Reference to previous foundational work: DOI 10.5281/zenodo.18504244.