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

@article{Tumulka2010BohmianMA, title={Bohmian mechanics at space–time singularities: II. Spacelike singularities}, author={Roderich Tumulka}, journal={General Relativity and Gravitation}, year={2010}, volume={42}, pages={303-346} }

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 metric we use the Schwarzschild metric, which contains two spacelike singularities, one in the past and one in the future. Since the particle world lines are everywhere timelike or lightlike, particles can be annihilated but not created at a future spacelike singularity, and created but not annihilated…

## 9 Citations

### 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…

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### Bohmian mechanics for a degenerate time foliation

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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…

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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

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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…

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- PhysicsSymmetry
- 2021

A novel way of removing UV divergences is reviewed: by imposing a type of boundary condition on the wave function that allows for a direct definition of the Hamiltonian without renormalization or limiting procedures.

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