# Bohmian mechanics for a degenerate time foliation

@article{Struyve2015BohmianMF, title={Bohmian mechanics for a degenerate time foliation}, author={Ward Struyve and Roderich Tumulka}, journal={Quantum Studies: Mathematics and Foundations}, year={2015}, volume={2}, pages={349-358} }

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…

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## References

SHOWING 1-10 OF 29 REFERENCES

Bohmian Mechanics at Space-Time Singularities.

- Physics
- 2009

We develop an extension of Bohmian mechanics by defining Bohm-like trajectories for quantum particles in a curved background space-time containing a spacelike singularity. As an example of such a…

Bohmian mechanics at space–time singularities: II. Spacelike singularities

- Physics, Mathematics
- 2010

We develop an extension of Bohmian mechanics by defining Bohm-like trajectories for quantum particles in a curved background space–time containing a spacelike singularity. As an example of such a…

New Type of Hamiltonians Without Ultraviolet Divergence for Quantum Field Theories

- Mathematics
- 2015

We propose a novel type of Hamiltonians for quantum eld theories. They are mathematically well-dened (and in particular, ultraviolet nite) without any ultraviolet cut-o such as smearing out the…

Pilot Wave Theory and Quantum Fields

- Physics
- 2011

Pilot wave theory (PWT), also called de Broglie-Bohm theory or Bohmian Mechanics, is a deterministic nonlocal `hidden variables' quantum theory without fundamental uncertainty. It is in agreement…

Bell-type quantum field theories

- Physics
- 2004

In his paper (1986 Beables for quantum field theory Phys. Rep. 137 49?54) John S Bell proposed how to associate particle trajectories with a lattice quantum field theory, yielding what can be…

Bohmian mechanics and quantum field theory.

- PhysicsPhysical review letters
- 2004

A recently proposed extension of Bohmian mechanics to quantum field theory is discussed, which describes explicit creation and annihilation events of particles: the world lines for the particles can begin and end.