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Bohmian mechanics is fundamentally incompatible with quantum field theory. QFT is the best theory we have today (standard model).
by akuma73 10y ago
Bohmian mechanics is fundamentally incompatible with quantum field theory. QFT is the best theory we have today (standard model).
- jostylr 10y agoWhy do you say that? There are adaptations that have creation and annihilation of particles in Bohmian mechanics: http://arxiv.org/abs/quant-ph/0303156 http://arxiv.org/abs/quant-ph/0303156 The main issue is that QFT does not generate a mathematically well-defined evolution of the wave function, but there are promising directions on that front as well: http://arxiv.org/abs/1506.00497 http://arxiv.org/abs/1506.00497 Basically, they treat the Hamiltonian as a whole instead of a perturbation and use a domain for it that has the probabilities flowing from one area to another appropriately to the different particle sectors. There is also work on dealing with relativity which is a separate issue. While there are solutions, mainly centering on finding a natural foliation, the tension with relativity has not really been resolved, a tension which exists regardless of interpretation.
- naasking 10y ago> While there are solutions, mainly centering on finding a natural foliation, the tension with relativity has not really been resolved, a tension which exists regardless of interpretation. Exactly, John Bell had it right 50 years ago: non-locality is the problem of QM that needs to be solved, and other interpretations let you simply gloss over the problem without really addressing it. The recent work for finding a natural foliation present in any formalism with a wave function, including Bohmian mechanics, proves every QM shares this problem (or if you think one doesn't, then none of them do for the exact same reasons).