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Conjugate pair of representations in chaos and quantum mechanics

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Abstract

Being based on the observation that a conjugate pair of representations, or dual logic, is a necessity under the presence of chaos, a new interpretation of quantum theory is proposed as describingproto-chaos. This chaos has to be a result of basic nonlinearity in the dynamic structure, of which, however, the nonchaotic phase seems to lie ourside the reach of experimental technique, thus the term proto-chaos. Nevertheless, assuming no extra degrees of freedom, the interpretation clarifies a number of riddles posed hitherto and throws some light on the overall hierarchical structure of our understanding and description of nature.

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Tomita, K. Conjugate pair of representations in chaos and quantum mechanics. Found Phys 17, 699–711 (1987). https://doi.org/10.1007/BF01889543

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  • DOI: https://doi.org/10.1007/BF01889543

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