CarlB
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RandallB said:IMO They all embrace the embrace the principles within SR; Composition of speeds instead of addition, Time dilation, etc. They just deny that those SR elements by themselves can provide a complete solution and a non-local addition is required to complete the picture. Essentially not being able to do it with SR is what put Einstein on the path of GR.
The problem with non local interactions and special relativity is that faster than light interactions in one frame imply backwards in time interactions in another.
Bohm himself wrote that special relativity is supported by "bohmian mechanics" only in that under the usual statistical assumptions, there is no way to pass information faster than light, and the results of any calculation do not depend on the frame of refernce chosen to make the calculation. There is a chapter in Bohm and Hiley "The Undivided Universe" devoted to this issue.
Admitting that I am not a scholar on this, the way I would put it is to say that Bohmian mechanics supports relativity as a "phenomenological" model, but not as a part of the "ontology". I believe that Bohm explicitly supports the concept of a preferred frame of reference, but as with Poincare and Lorentz, that frame of reference cannot be determined.
My belief is that special relativity is an "accidental symmetry". That is, if one understood the underlying theory one would see that there is, in fact, a preferred frame of reference, but that finding it experimentally in the obvious fashion might require energies on the order of the Plank mass.
Carl