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Bulletin of the American Physical Society

The dynamic foundation of quantum mechanics

V. J. Lee

Published May 19, 2006• 0 citations
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An investigation is made into how the foundations of statistical mechanics are affected once we treat classical mechanics as an approximation to quantum mechanics in certain domains rather than as a theory in its own right; this is necessary if we are to understand statistical-mechanical systems in our own world. Relevant structural and dynamical differences are identified between classical and quantum mechanics (partly through analysis of technical work on quantum chaos by other authors). These imply that quantum mechanics significantly affects a number of foundational questions, including the nature of statistical probability and the direction of time.
This work introduces a foundational interpretive framework for quantum mechanics based on a single organizing principle: the temporal mismatch between observer and system. The framework proposes three fundamental laws of quantum time, explaining quantum indeterminacy, wavefunction collapse, entanglement, and the quantum–classical transition without modifying the mathematical formalism of quantum mechanics. Quantum behavior is interpreted not as intrinsic disorder, but as a consequence of observing systems whose intrinsic dynamical time scales differ radically from the temporal resolution of measurement. This work is intended as a conceptual and foundational contribution, offering a unified interpretive structure for ongoing discussions in the foundations of quantum mechanics. The framework is operationally defined and falsifiable in principle, though not directly testable with current experimental capabilities.
This paper introduces a framework of in-out duality, merging insights from quantum mechanics with social sciences to illuminate the complex interplay between internal potentialities and external manifestations. It articulates foundational, mathematical axioms (Entanglement, Homogeneity, Emergence, and Measurement) that underpin the dynamics of systems, emphasizing the interconnectedness and emergent behaviors resulting from internal and external interactions. By exploring quantum concepts like coherence, entanglement, and superposition, the paper proposes an interdisciplinary approach termed Quantum Social Mechanics. This approach challenges classical paradigms, advocating for a reevaluation of conventional notions through the lens of quantum principles. The paper argues that understanding the universe’s complexities requires a synthesis of motion states and potential states, suggesting a paradigm shift towards integrating quantum mechanics into the philosophical foundation of social theory. Through this comprehensive framework, the paper aims to foster a deeper understanding of the universe’s interconnected nature and the dynamic processes that govern the emergence of complex systems and behaviors.