This work continues and consolidates a series of conceptual papers developed over an extended period, aimed at clarifying the physical domain of validity of quantum theory. Rather than presenting a new interpretation or extending the formalism, the present contribution serves as a unifying and delimiting statement. It explicitly formulates what quantum theory does not permit to be physically asserted when its formal descriptions are applied beyond conditions of realization. The motivation for publishing this work at this stage is to provide a coherent and self-contained articulation of the process–event constraint that has been developed across earlier discussions, drafts, and case analyses. Several examples—most notably from chemical bonding and spectroscopy—are included here in a compact and finalized form, not as an expansion of scope, but as confirmation that the framework applies consistently beyond abstract foundational scenarios. This manuscript is intended as a stable reference point that closes a conceptual loop, rather than as an open-ended extension of the series.
This work continues and consolidates a series of conceptual papers developed over an extended period, aimed at clarifying the physical domain of validity of quantum theory. Rather than presenting a new interpretation or extending the formalism, the present contribution serves as a unifying and delimiting statement. It explicitly formulates what quantum theory does not permit to be physically asserted when its formal descriptions are applied beyond conditions of realization. The motivation for publishing this work at this stage is to provide a coherent and self-contained articulation of the process–event constraint that has been developed across earlier discussions, drafts, and case analyses. Several examples—most notably from chemical bonding and spectroscopy—are included here in a compact and finalized form, not as an expansion of scope, but as confirmation that the framework applies consistently beyond abstract foundational scenarios. This manuscript is intended as a stable reference point that closes a conceptual loop, rather than as an open-ended extension of the series.
This record presents a review and synthesis of a five-part research series devoted to clarifying the domain of validity of quantum descriptions. The work introduces an explicit process–event framework, distinguishing between continuous quantum processes described by the formalism and their irreversible realization as physical events. Rather than proposing new dynamics or modifying quantum theory, the synthesis operates at a meta-level, making explicit the conditions under which standard quantum concepts—such as Planck’s relation, Born’s rule, conservation laws, entanglement, and Bell-type constraints—acquire physical meaning. A minimal realization criterion, expressed schematically as a resonant event threshold, delineates when a quantum description corresponds to an empirically accessible event rather than a purely formal process. By consistently maintaining the process–event distinction, the framework resolves longstanding conceptual tensions surrounding measurement, nonlocality, conservation laws, and information without altering the mathematical structure or empirical predictions of quantum mechanics.
This paper introduces the concept of a resonant event threshold as a physical criterion delimiting the domain of validity of quantum descriptions. The central claim is that quantum formalism applies to physical processes only within regimes where energy, time, and coherence jointly permit the realization of an event. Outside this domain, quantum states remain processual and non-realized, and quantities such as outcomes, probabilities, or information lack physical meaning. The proposed threshold, expressed schematically as νΔt ≳ 1 (with ν a characteristic frequency and Δt an effective coherence/interaction time), is not a new dynamical law but a condition of applicability: it specifies when a quantum description corresponds to a realizable physical event. This work serves as a foundational element of a broader series developing a process–event framework for quantum theory, clarifying the status of collapse, information, and measurement without modifying standard quantum formalism.
For clarity, this series employs the term process–event framework to denote the operational distinction between continuous quantum processes and their irreversible realization as physical events. This terminology is introduced solely to make explicit the domain of validity assumed throughout the analysis and does not constitute an interpretative or ontological modification of quantum theory. This article concludes a series developing a process–event framework for quantum theory by applying it to entanglement and Bell-type constraints. The analysis shows that Bell inequalities constrain ontological models in which measurement outcomes are assumed to exist as local entities prior to measurement, but do not require nonlocal causal dynamics. Entanglement is treated as non-separability at the level of the process description, while observable outcomes arise only through localized, irreversible event realization. Correlations become physically accessible only after classical comparison of recorded events, preserving relativistic locality and the no-signaling principle. The work does not modify quantum dynamics or challenge the mathematical validity of Bell’s theorem. Instead, it clarifies the domain of validity of its assumptions by distinguishing continuous quantum processes from discrete realized events. .
This is the fourth paper in a series developing a process–event framework for the physical applicability of quantum theory. Building on earlier papers that introduced a minimal event threshold (Article I), resolved black-body divergences via domain restriction (Article II), and clarified the conditional role of conservation laws (Article III), this work addresses three foundational quantum elements: Planck’s relation, Born’s rule, and EPR correlations. The central claim is operational rather than interpretational: standard quantum postulates can be consistently understood as conditions for the realization of physical events, not as ontological statements about discreteness or nonlocal causation. Quantum theory is treated as a theory of continuous processes whose physical relevance emerges only when a minimal threshold of duration, action, and irreversible registration is crossed. Planck’s constant is interpreted as an empirical scale delimiting event realization, Born’s rule as a process-to-event closure under measurement, and EPR correlations as correlations between local events arising from a single global process. No modification of the quantum formalism or its predictions is proposed.
This doctoral dissertation on the foundations of quantum theory isolates and formalizes physical knowability constraints, understood here as constraints on what any conceivable observer can know about the physical world; I henceforth call these “epistemic constraints” for terseness. Here, epistemic constraints concern the definite, intersubjectively agreeable, ordinary-language conditions under which experiments are described. The usual formulation of the quantum measurement problem, which I call the Schrodingerian measurement problem, has the structure of an anomaly: if we take quantum theory at face value, we expect no definite values, and yet we see definite values in experiments. The responses to this problem have been either to solve it or to dissolve it. These responses, which have taken the form of interpretation, modification, or reconstruction of quantum mechanics, seek either to derive (conceptually or mathematically) epistemic constraints from within quantum mechanics or suitable modifications of it, as is the case with certain interpretations and modifications, or to posit the epistemic constraint, or parts of it, as a primitive assumption with the goal of deriving quantum mechanics, as is the case in some reconstruction programs. In contrast to the Schrodingerian measurement problem, which had the structure of an anomaly, this dissertation develops the Bohrian Program, which (for lack of a better comparison) has a structure similar to the problem historically associated with Euclid’s fifth postulate. It seeks to keep epistemic constraints as primitive in an onto-epistemic sense. It then seeks new physical conclusions from the joint consideration of quantum mechanics and epistemic constraints, without seeking to derive one from the other. Among other results, this leads to a notion of the probability of instantiability of the Born Rule that specifies when to apply the Born Rule and when to apply a unitary transformation to a quantum state.