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• W3100311957 abstract "The version of Bohmian mechanics in relativistic space-time that works best, the hypersurface Bohm--Dirac model, assumes a preferred foliation of space-time into spacelike hypersurfaces (called the time foliation) as given. We consider here a degenerate case in which, contrary to the usual definition of a foliation, several leaves of the time foliation have a region in common. That is, if we think of the time foliation as a 1-parameter family of hypersurfaces, with the hypersurfaces moving towards the future as we increase the parameter, a degenerate time foliation is one for which a part of the hypersurface does not move as we increase the parameter. We show that the hypersurface Bohm--Dirac model still works in this situation; that is, we show that a Bohm-type law of motion can still be defined, and that the appropriate $|psi|^2$ distribution is still equivariant with respect to this law." @default.
• W3100311957 created "2020-11-23" @default.
• W3100311957 creator A5076218389 @default.
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• W3100311957 date "2015-07-16" @default.
• W3100311957 modified "2023-10-17" @default.
• W3100311957 title "Bohmian mechanics for a degenerate time foliation" @default.
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• W3100311957 doi "https://doi.org/10.1007/s40509-015-0048-4" @default.
• W3100311957 hasPublicationYear "2015" @default.
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