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Computing heat capacities in Bohmian Mechanics
Hello user7348,

I have to thank you for willingness to talk! LM ([...]) banned me from his blog so you unfortunate guys have to get by without my input.

My main question is: how much will you pay for this calculation? Since I have no particular interest in it otherwise. A thousand dollars should be enough; half up front.

But, on a more serious note. I don't know how to do the calculation. Schmelzer does, but may not have the time to deal with it. So let me make a few comments.

Most important, I don't know that it actually is possible to get the right answer. Long ago I studied "Undivided Universe" and decided dBB was valid as far as that presentation went. It did NOT go into a lot of details, like heat capacity, entropy, and more. Bohm clearly admitted that.

Since then there's an ongoing debate whether dBB can deliver the goods in these detailed areas. My opinion is, it probably can, but that hasn't been demonstrated - not very clearly anyway. Considering the resources available to work on it - just a few over-worked workers - that's understandable.

I also think that when dBB really gets into these details a few more "assumptions" will be required. Seems there are details which, examined closely, aren't going to work. That doesn't bother me, depending on what assumptions may be necessary. They may be few and natural, or quite a few and ad-hoc. Obviously, if the latter, dBB should be dropped. So at this time, to me, dBB's viability remains to be proven.

Here's an example. In the 2-slit experiment, look at the Bohmian trajectory for an electron as it travels to the detector. It jerks around almost chaotically. Why doesn't it emit radiation during these extreme accelerations? Classically, it should; obviously, it doesn't. Isn't it clear some extra assumption is needed to explain this? Or am I missing something?

I figure most observables actually apply to the wave function (pilot wave) not the particle. The electron "beable" is a different sort of beast, whose only function, really, is to be detected someday. It never emits radiation, nor does it absorb it. Whenever we speak of that happening, we really mean the pilot wave. The situation is identical to QFT. In QFT, there is no particle as such, rather it's represented as an excitation in the electron field. All observables such as position and entropy are expressed in terms of the field. I suppose dBB is similar. The pilot wave (which corresponds to QFT's field) is the entity which counts. The particle just doesn't participate very much, except when detecting position. Its role is simply to be guided by the pilot wave as appropriate.

I intend to make some comments relevant to your question soon! But it occurs to me that like LM, you may realize you're dealing with someone sensible, who may be able to debate rings around you if he feels like it. LM's technique is to run and hide; a sensible person's is to welcome intelligent discourse, especially when it disagrees with his view. So let me stop here and find out which approach you favor.

Any comments - any response at all - welcome.

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RE: Computing heat capacities in Bohmian Mechanics - by secur - 05-27-2016, 02:02 AM

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