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  • Quantum asymmetry between time and space

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    VaccaroPUB2865.pdf (836.4Kb)
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    Accepted Manuscript (AM)
    Author(s)
    Vaccaro, Joan A
    Griffith University Author(s)
    Vaccaro, Joan A.
    Year published
    2016
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    Abstract
    An asymmetry exists between time and space in the sense that physical systems inevitably evolve over time, whereas there is no corresponding ubiquitous translation over space. The asymmetry, which is presumed to be elemental, is represented by equations of motion and conservation laws that operate differently over time and space. If, however, the asymmetry was found to be due to deeper causes, this conventional view of time evolution would need reworking. Here we show, using a sum-over-paths formalism, that a violation of time reversal (T) symmetry might be such a cause. If T symmetry is obeyed, then the formalism treats ...
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    An asymmetry exists between time and space in the sense that physical systems inevitably evolve over time, whereas there is no corresponding ubiquitous translation over space. The asymmetry, which is presumed to be elemental, is represented by equations of motion and conservation laws that operate differently over time and space. If, however, the asymmetry was found to be due to deeper causes, this conventional view of time evolution would need reworking. Here we show, using a sum-over-paths formalism, that a violation of time reversal (T) symmetry might be such a cause. If T symmetry is obeyed, then the formalism treats time and space symmetrically such that states of matter are localized both in space and in time. In this case, equations of motion and conservation laws are undefined or inapplicable. However, if T symmetry is violated, then the same sum over paths formalism yields states that are localized in space and distributed without bound over time, creating an asymmetry between time and space. Moreover, the states satisfy an equation of motion (the Schrödinger equation) and conservation laws apply. This suggests that the time–space asymmetry is not elemental as currently presumed, and that T violation may have a deep connection with time evolution.
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    Journal Title
    Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences
    Volume
    472
    Issue
    2185
    DOI
    https://doi.org/10.1098/rspa.2015.0670
    Copyright Statement
    © 2016 Royal Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal website for access to the definitive, published version.
    Subject
    Mathematical sciences
    Physical sciences
    Quantum physics not elsewhere classified
    Engineering
    Publication URI
    http://hdl.handle.net/10072/142555
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    • Journal articles

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