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Can Bohmian mechanics be made relativistic?
Detlef Dürr1, Sheldon Goldstein2, Travis Norsen3
1Mathematisches Institut , Ludwig-Maximilians-Universität , Theresienstraße. 39, 80333 München, Germany.
Proceedings. Mathematical, Physical, and Engineering Sciences
|February 11, 2014
Summary
Bohmian theories in relativistic space-time can be formulated without violating Lorentz invariance. This approach uses a wave function to determine space-time structure, potentially reconciling Bohmian mechanics with relativity.
Area of Science:
- Theoretical Physics
- Quantum Mechanics
- Relativity
Background:
- Bohmian theories in relativistic space-time typically require a privileged foliation.
- This requirement appears to conflict with Lorentz invariance and fundamental relativity.
Purpose of the Study:
- To explore if Bohmian theories can be formulated in relativistic space-time while maintaining Lorentz invariance.
- To investigate the possibility of covariantly determining the space-time foliation by the wave function.
Main Methods:
- Consideration of Bohmian theories within a relativistic space-time framework.
- Analysis of a novel approach where space-time foliation is determined by the wave function, rather than being an imposed structure.
Main Results:
- The proposed method allows for the formulation of Bohmian theories that appear to be fundamentally Lorentz invariant.
- This approach offers a potential resolution to the apparent conflict between Bohmian mechanics and relativity.
Conclusions:
- Bohmian theories can be formulated in a way that respects Lorentz invariance.
- Further discussion is needed on whether these theories qualify as fundamentally relativistic.
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