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Spatial Localization in Quantum Theory Based on qr-numbers

Spatial Localization in Quantum Theory Based on qr-numbers,10.1007/s10701-010-9424-4,Foundations of Physics,John Corbett,Thomas Durt

Spatial Localization in Quantum Theory Based on qr-numbers  
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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.
Journal: Foundations of Physics - FOUND PHYS , vol. 40, no. 6, pp. 607-628, 2010
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