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… 
On Bohmian Mechanics , Particle Creation , and Relativistic Space-Time : Happy 100 th Birthday
The biggest and most lasting among David Bohm’s (1917–1992) many achievements is to have proposed a picture of reality that explains the empirical rules of quantum mechanics. This picture, known as
Wave Function Collapse and the No-Superluminal-Signaling Principle
The assumption that wave function collapse is a real occurrence has very interesting consequences - both experimental and theoretical. Besides predicting observable deviations from linear evolution,
Bohmian mechanics at space–time singularities. I. Timelike singularities
  • R. Tumulka
  • Physics, Mathematics
    Journal of Geometry and Physics
  • 2019
On Bohmian Mechanics, Particle Creation, and Relativistic Space-Time: Happy 100th Birthday, David Bohm!
TLDR
Some more recent developments and extensions of Bohmian mechanics are described, concerning in particular relativistic space-time and particle creation and annihilation.

References

SHOWING 1-10 OF 29 REFERENCES
Bohmian Mechanics at Space-Time Singularities.
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
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
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
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
Multi-time wave functions for quantum field theory
Bell-type quantum field theories
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.
TLDR
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.
...
...