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Geometro-stochastic locality in quantum spacetime and quantum diffusions

  • Part IV. Invited Papers Dedicated To John Stewart Bell
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Abstract

The issue of the intrinsic nonlocality of quantum mechanics raised by J. S. Bell is examined from the point of view of the recently developed method of geometro-stochastic quantization and its applications to general relativistic quantum theory. This analysis reveals that a distinction should be made between the topological concept of locality used in formulating relativistic causality and a type of geometric locality based on the concept of fiber bundle, which can be used in extending the strong equivalence principle to the quantum domain. Both play an essential role in formulating a notion of geometro-stochastic propagation based on quantum diffusions, which throws new light on the EPR paradox, on the origin of the arrow of time, and on other fundamental issues in quantum cosmology and the theory of measurement.

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  1. Department of Mathematics, University of Toronto, M5S 1A1, Toronto, Canada

    Eduard Prugovečki

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Prugovečki, E. Geometro-stochastic locality in quantum spacetime and quantum diffusions. Found Phys 21, 93–124 (1991). https://doi.org/10.1007/BF01883565

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