One of the still unresolved problems in modern physics is the conceptual gap between quantum mechanics and Newtonian classical physics. Quantum mechanics describes probabilistic and indeterminate systems, whereas classical physics describes stable and deterministic systems. This article proposes a preliminary ontological and philosophical framework to interpret the transition from the quantum to the classical state through the Theory of Quantum-Classical Crossover (TQCC). Rather than considering the two regimes as fundamentally distinct, the theory suggests they are stages of a single process: the gradual formation of physical reality from a state whose physical properties are not yet defined. The quantum-classical crossover is therefore not merely mathematical, but ontological. Although decoherence and coarse-graining are well-established mathematical formalisms, the Theory of Quantum-Classical Crossover provides a conceptual bridge between quantum indeterminacy and classical stability. It employs philosophical concepts as visual aids and integrates ideas such as Heisenberg’s potentia, Wheeler’s It from Bit, and Rovelli’s Relational Quantum Mechanics, suggesting that the binary state of matter is not only expected, but necessary. This ontological perspective may provide a conceptual bridge for understanding quantum-to-classical transitions beyond purely mathematical descriptions.
One of the still unresolved problems in modern physics is the conceptual gap between quantum mechanics and Newtonian classical physics. Quantum mechanics describes probabilistic and indeterminate systems, whereas classical physics describes stable and deterministic systems. This article proposes a preliminary ontological and philosophical framework to interpret the transition from the quantum to the classical state through the Theory of Quantum-Classical Crossover (TQCC). Rather than considering the two regimes as fundamentally distinct, the theory suggests they are stages of a single process: the gradual formation of physical reality from a state whose physical properties are not yet defined. The quantum-classical crossover is therefore not merely mathematical, but ontological. Although decoherence and coarse-graining are well-established mathematical formalisms, the Theory of Quantum-Classical Crossover provides a conceptual bridge between quantum indeterminacy and classical stability. It employs philosophical concepts as visual aids and integrates ideas such as Heisenberg’s potentia, Wheeler’s It from Bit, and Rovelli’s Relational Quantum Mechanics, suggesting that the binary state of matter is not only expected, but necessary. This ontological perspective may provide a conceptual bridge for understanding quantum-to-classical transitions beyond purely mathematical descriptions.
This work presents the Theory of Quantum-Classical Crossover (TQCC), a conceptual proposal currently under development that seeks to explore the transition between quantum and classical regimes as a continuous process through which classicality emerges. The text is primarily explanatory, philosophical, and narrative in character. At this stage, it does not aim to present a rigorous physical formalism or a fully developed mathematical theory. Rather, its purpose is to articulate and clarify the central idea of the TQCC, tracing its conceptual development and exploring its possible implications. The proposal begins with the possibility of understanding the quantum and classical domains not as fundamentally separate realities, but as different regimes of a single underlying reality, connected by a progressive process of definition. In this context, the work introduces and explores the concept of a classicality parameter, represented by γ(t), as an initial attempt to describe this transition. The article also develops philosophical and ontological reflections surrounding the proposal and engages with questions related to quantum mechanics, decoherence, the emergence of classical reality, information, and the relationship between possibility and determination. The formulations presented should be regarded as preliminary and open to further development, reformulation, and mathematical formalization. The purpose of this version is primarily to document, present, and organize the hypothesis at its current stage of development, providing a starting point for future investigation and discussion within the scientific community.
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.
This article is the third and final part of a three-paper sequence developing Ontological Field Theory (OFT) as a unified framework grounding quantum mechanics in foundational ontological principles. The trilogy is structured as follows: Part I — Conceptual Necessity:Why Quantum Mechanics Is Inevitable: Ontological Continuity and the Necessity of Quantum Dynamics establishes that quantum mechanics follows necessarily from minimal requirements on coherent being, independently of specific physical postulates. Part II — Technical Realization:Derivation of the Schrödinger Equation from Ontological Field Theory provides the explicit field-theoretic derivation showing how the Schrödinger equation emerges as the non-relativistic limit of a covariant ontological field. Part III — Critical Context:Why Classical Physics Is an Approximation: Decoherence, Coarse-Graining, and the Limits of Determinism explains why classical determinism and trajectories arise only as emergent, approximate descriptions of fundamentally quantum and relational dynamics. Each article is logically self-contained, but the full argument is distributed across the three contributions. The conceptual analysis motivates the mathematics; the mathematics grounds the physics; and the critical examination situates classical intuition as a limiting case rather than a foundation. The papers are intended to be read as a coherent whole. We argue that quantum mechanics is not an arbitrary empirical framework but an inevitable consequence of minimal ontological requirements. Assuming only that being must exist necessarily, remain consistent, be relational, and admit self-reference, we show that classical deterministic physics is structurally insufficient. Quantum dynamics emerges as the unique low-energy realization of coherent ontological continuity. This work completes the ontological grounding of quantum mechanics by clarifying why it could not have been otherwise.
The Heisenberg uncertainty principle constitutes one of the foundational pillars of quantum mechanics and represents a definitive rupture with the deterministic ideal of classical physics. This work develops a comprehensive analysis of the uncertainty principle from a mathematical, physical, and philosophical perspective, demonstrating that it should not be interpreted as an instrumental or epistemological limitation, but rather as an ontological property inherent to the formalstructure of quantum theory.Within the framework of Hilbert spaces, self-adjoint operators, and non-commutative algebras, it is shown that uncertainty emerges necessarily as a consequence of the structural incompatibility between conjugate observables. The study articulates the uncertainty principle with classical chaos theory and the sciences of complexity, establishing a fundamental distinction between epistemological unpredictability and ontological indeterminacy. While classical chaos preserves well-defined trajectories that are practically inaccessible, quantum mechanics eliminates the very notion of trajectory as a fundamental entity.This rupture manifests itself in the granularity of phase space, the impossibility of defining exact initial conditions, and the consequent reformulation of determinism. Contemporary experimental developments designed to exclude instrumental disturbances are analyzed, reinforcing the ontological interpretation of the uncertainty principle.Finally, the implications for simulation, predictability, and quantumOverall, this work argues that the uncertainty principle does not undermine scientific rationality, but rather redefines itsscope and deepens our understanding of physical reality. Keywords: uncertainty principle; quantum mechanics; mathematical structure; non-commutative operators; chaos theory; complexity; determinism; physical ontology.
This article is the first part of a three-part series developing Ontological Field Theory (OFT), a unified framework grounding quantum mechanics in foundational ontological principles. The trilogy is structured as follows: Part I — Conceptual Necessity:Why Quantum Mechanics Is Inevitable: Ontological Continuity and the Necessity of Quantum Dynamics establishes that quantum mechanics follows necessarily from minimal requirements on coherent being, independently of specific physical postulates. Part II — Technical Realization:Derivation of the Schrödinger Equation from Ontological Field Theory provides the explicit field-theoretic derivation showing how the Schrödinger equation emerges as the non-relativistic limit of a covariant ontological field. Part III — Critical Context:Why Classical Physics Is an Approximation: Decoherence, Coarse-Graining, and the Limits of Determinism explains why classical determinism and trajectories arise only as emergent, approximate descriptions of fundamentally quantum and relational dynamics. Each article is logically self-contained, but the full argument is distributed across the three contributions. The conceptual analysis motivates the mathematics; the mathematics grounds the physics; and the critical examination situates classical intuition as a limiting case rather than a foundation. The papers are intended to be read as a coherent whole. We argue that quantum mechanics is not an arbitrary empirical framework but an inevitable consequence of minimal ontological requirements. Assuming only that being must exist necessarily, remain consistent, be relational, and admit self-reference, we show that classical deterministic physics is structurally insufficient. Quantum dynamics emerges as the unique low-energy realization of coherent ontological continuity. This work complements explicit field-theoretic derivations by clarifying why quantum mechanics could not have been otherwise.
A common learning goal for modern physics instructors is for students to recognize a difference between the experimental uncertainty of classical physics and the fundamental uncertainty of quantum mechanics. Our studies suggest this notoriously difficult task may be frustrated by the intuitively realist perspectives of introductory students, and a lack of ontological flexibility in their conceptions of light and matter. We have developed a framework for understanding and characterizing student perspectives on the physical interpretation of quantum mechanics, and demonstrate the differential impact on student thinking of the myriad ways instructors approach interpretive themes in their introductory courses. Like expert physicists, students interpret quantum phenomena differently, and these interpretations are significantly influenced by their overall stances on questions central to the so-called measurement problem: Is the wave function physically real, or simply a mathematical tool? Is the collapse of the wave function an ad hoc rule, or a physical transition not described by any equation? Does an electron, being a form of matter, exist as a localized particle at all times? These questions, which are of personal and academic interest to our students, are largely only superficially addressed in our introductory courses, often for fear of opening a Pandora's Box of student questions, none of which have easy answers. We show how a transformed modern physics curriculum (recently implemented at the University of Colorado) may positively impact student perspectives on indeterminacy and wave-particle duality, by making questions of classical and quantum reality a central theme of our course, but also by making the beliefs of our students, and not just those of scientists, an explicit topic of discussion.