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Quantum mechanics as a space-time theory

J. Corbett·T. Durt
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Abstract

We show how quantum mechanics can be understood as a space-time theory provided that its spatial continuum is modelled by a variable real number (qrumber) continuum. Such a continuum can be constructed using only standard Hilbert space entities. 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 this new description of space-time with the Bohmian picture of quantum mechanics.

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J. Corbett, T. Durt. 2005-12-23. Quantum mechanics as a space-time theory. https://arxiv.org/abs/quant-ph/0512220

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