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Complementarity, quantization, and uncertainty: An analytical perspective of set theory and probability

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Uncertainty and the scheme of quantization are examined in an analytical perspective of set theory and theory of probability. The analysis in turn brings about some newer insights into the quantization, uncertainty, and complementarity. The discussion in this paper addresses the probabilistic origin of the complementarity in Quantum Mechanics. The symmetries of commutation and noncommutation that are nicely understood in quantum mechanics in the form of algebra and group theory exist even as set theoretic attributes.

Keywords: Complementarity; Probability; Uncertainty

Document Type: Research Article

Publication date: 26 June 2014

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  • Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
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