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… 

Bohmian mechanics at space–time singularities. I. Timelike singularities

  • R. Tumulka
  • Physics, Mathematics
    Journal of Geometry and Physics
  • 2019

Consequences of a Two-Time Relativistic Bohmian Model

Effects of a Bohmian quantum-relativistic theory are explored. The model is obtained by introducing a new and independent time parameter whose relative motions are not directly observable and cause

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.

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,

References

SHOWING 1-10 OF 20 REFERENCES

Bohmian Trajectories For a Time Foliation with Kinks

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

Can we make a Bohmian electron reach the speed of light, at least for one instant?

In Bohmian mechanics, a version of quantum mechanics that ascribes world lines to electrons, we can meaningfully ask about an electron's instantaneous speed relative to a given inertial frame.

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

Quantum Equilibrium and the Role of Operators as Observables in Quantum Theory

Bohmian mechanics is arguably the most naively obvious embedding imaginable of Schrödinger's equation into a completely coherent physical theory. It describes a world in which particles move in a

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