About Bohmian mechanics


Klaus Kassner


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Dated: 3 February 2021

I have written up a somewhat detailed proof that the standard version of Bohmian mechanics leads to the same statistical predictions for experiments as standard nonrelativistic quantum mechanics (many standards...  ). This may be useful for those who are still looking for ways to set up experiments that might help distinguish between the two theories. Unless the proof can be beaten by the experiment in some way, there is no hope for such a feat. This does not mean that I am a defender of Bohmian mechanics. But I think it cannot be attacked on the grounds of disagreeing with experiments. Arguments against it should rather be based on its lack of merits in interpreting experiments. A tendency to produce counterintuitive visualizations of particle tracks might be a starting point. But intuition is a shaky guide in quantum mechanics. Note that the empirical equivalence of Bohmian mechanics and standard quantum mechanics implies that it is impossible to "disprove" the existence of particle trajectories by referral to experiments. Bohmian mechanics gives an interpretation that has particle trajectories at all times and is fully consistent with experiments. In the nonrelativistic domain. A promising place to look for its failures would be extensions that try to include particle creation and destruction, which are needed in relativistic quantum mechanics.

Why the predictions of Bohmian mechanics agree with those of standard quantum mechanics, 03.02.2021


Next: Revisiting real functions with constant limit at infinity   Up: Introduction science education project    Previous: Four color map theorem

 

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