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Spatial Localization in Quantum Theory Based on qr-numbers

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Abstract

We show how trajectories can be reintroduced in quantum mechanics provided that its spatial continuum is modelled by a variable real number (qr-number) continuum. Such a continuum can be constructed using only standard Hilbert space entities. In this approach, the geometry of atoms and subatomic objects differs from that of classical objects. The systems that are non-local when measured in the classical space-time continuum may be localized in the quantum continuum. We compare trajectories in this new description of space-time with the corresponding Bohmian picture.

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Authors and Affiliations

  1. Mathematics Department, Macquarie University, Sydney, NSW, 2109, Australia

    John Corbett

  2. TENA-TONA Free University of Brussels, Pleinlaan 2, 1050, Brussels, Belgium

    Thomas Durt

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  1. John Corbett
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  2. Thomas Durt
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Correspondence to Thomas Durt.

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Corbett, J., Durt, T. Spatial Localization in Quantum Theory Based on qr-numbers. Found Phys 40, 607–628 (2010). https://doi.org/10.1007/s10701-010-9424-4

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  • DOI: https://doi.org/10.1007/s10701-010-9424-4

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