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Teoria do Cruzamento Quântico Clássico: Uma Proposta em Desenvolvimento

Artur Mendes Kur

Published Aug 5, 2026• 0 citations
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Abstract

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.

DOI
10.5281/zenodo.21813471

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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.
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.
Abstract Quantum decoherence is receiving a great deal of attention today not only in theoretical and experimental physics but also in branches of science as diverse as molecular biology, biochemistry, and even neuropsychology. It is no surprise that it is also beginning to appear in various philosophical debates concerning the fundamental structure of the world. The purpose of this article is primarily to acquaint non‐specialists with quantum decoherence and clarify related concepts, and secondly to sketch its possible implications – independent of particular interpretations of quantum mechanics – for broader philosophical debates. For example, decoherence shows that any method of parsing nature into levels or parts cannot be in principle but instead derives from our perception of the world as classical, a perception that is itself sustained by the process of decoherence.
This paper investigates the concept of a Quantum Reality Transition Threshold (QRTT), proposing that a critical boundary exists within which quantum systems exhibit macroscopic quantum superposition and fundamentally alter our understanding of classical reality. The core hypothesis centers around the notion of a 'lambda_c' – a measurable threshold value – representing the point at which the transition from quantum to classical behavior becomes pronounced. This research explores the implications of such a threshold, particularly in relation to resolving the quantum-classical boundary and potentially unlocking novel technological advancements, including those with implications for the Nobel Prize. The investigation focuses on theoretical formulations and conceptual frameworks, omitting experimental data and detailed methodologies. The primary goal is to establish a robust theoretical foundation for the QRTT concept. ---
Is mind quantum-like? Is consciousness quantum physical? Does consciousness have a role to play in the emergence of the classical world from the underlying quantum universe? Or is this dichotomy between classical and quantum an illusion? How can world philosophies enrich our views on these matters and interact with the best scientific theories? These are some questions that motivated us to conceive the current book. We also felt an urgent need to discuss the central philosophical questions haunting the emerging frameworks of quantum cognition and quantum-like framework (QLF). We have observed that there are very good technical or mathematical works being done in the emerging fields of quantum cognition and QLF, but there is still a great need for exploring the underlying and open philosophical questions they demand. Quantum cognition developed as a frontier research programme in understanding various cognitive phenomena that are hard or impossible to describe based on classical cognitive science paradigm. Classical cognitive science draws philosophically and mathematically from classical physics and classical probability theory. For example, cognitive realism thinking is deeply motivated by the scientific realism of classical physics. However, as we explore, there are numerous empirical findings which demonstrate clearly that human mind and cognitive processes exhibit features that are more quantum-like. Central to these features are indeterminacy, context dependence, and complementarity of cognitive phenomena, for example, perception, information retrieval, and even qualia. Many good works in the previous decade have demonstrated the efficacy of quantum-like mathematical modelling in such cases. However, given that efficacy, we cannot simply conclude that mind is quantum. Rather there are features that go beyond what is allowed in standard quantum formalism.
A thoroughgoing and consistent application of quantum theory shows that the connection between classical and quantum physics is very different from what can be found in standard textbooks. In the last two decades it has been shown that the elements of classical physics emerge through an irreversible quantum process called ‘decoherence’. According to decoherence theories, quantum objects acquire classical properties only through interactions with their natural environment as a consequence of the holistic features of quantum theory. In view of the interpretation problem of quantum theory, only two directions out of the host of proposals suggested in the course of time appear to remain consistent solutions. Whatever solution is preferred, the message of decoherence remains the same: classical notions are not needed as the starting point for physics. Instead, these emerge through the dynamical process of decoherence from the quantum substrate.
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