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de Broglie-Bohm theory (Bohmian mechanics)
(06-03-2016, 05:33 PM)Ioannis Wrote: a) Is the pilot wave a separate entity? IF it is then it is not an intrinsic property of the charged particle itself.
It is clearly a separate entity.

There is some more uncertainty about its status, but the basic dBB assumption is that it has some real existence. So, there is not only the trajectory, which is what we see around us, but also, additionally, some objectively existing wave function.

I tend to prefer another concept, namely that the wave function describes our knowledge. But this knowledge is, then, knowledge about the environment, in particular about the pointers of the measurement devices used in the preparation procedure. Thus, knowledge about some other, external objects, which are somehow correlated with the trajectory, but now the trajectory itself. So, in above variants is is not some intrinsic property of the particle itself, but something different, external.
(06-03-2016, 05:33 PM)Ioannis Wrote: b) Does the pilot wave travels together with the charged particle?
No, it is something completely different in nature, it is a function of all imaginable configurations.

The closest analogy is in classical theory the energy. It is a function of the trajectory - you can, for every trajectory, compute its energy, the energy of this particular trajectory. And, then, this energy "guides" the trajectory by energy conservation: The trajectory cannot be arbitrary, it has to continue in such a way that the energy remains unchanged in time. But the energy may not change at all, while the position of the particle changes in time. And the energy is defined also for all other configurations, not only the one which we see.
(06-03-2016, 05:33 PM)Ioannis Wrote: c) Is the pilot wave in phase with the mass properties of charged particle or not?
Hm. The pilot wave follows the Schrödinger equation. The mass is a parameter in the Schrödinger equation.
d) IF the pilot wave travels together with the charged particle that means is a Wave-Particle instance at all moments then, the charged particle would be in a Quantum Tunneling state in its entire life after approaching the speed of light. It follows that under such circumstances the charged particle would be then undetectable in our world.
Sorry, I don't understand this text. Quantum theory, as well as dBB theory, are theories with an absolute but unmeasurable time. Every clock is, independent of any relativity, inaccurate, and even goes backward in time with some non-zero probability.
(06-03-2016, 05:33 PM)Ioannis Wrote: e) IF the pilot wave travels together with the charged particle what is the Relativistic Energy of the Wave-Particle entity? Einstein's Relativity predicts the Relativistic Energy for charged particles associated not to pilot waves. How dBB copes with this?
There is a variant of dBB theory for relativistic particles, but I don't like it. I prefer for relativistic theory the field theory. In this case, particles become quite irrelevant, quantum effects without any fundamental importance, like phonons in condensed matter theory (some "sound particles" which are simply quantum effects like the discrete energy levels in an atom).

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RE: de Broglie-Bohm theory (Bohmian mechanics) - by Schmelzer - 06-04-2016, 08:34 AM

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