Juan R.
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Crosson said:I see that you have reached the lowest common denominator, smearing me as someone who does not even understand the physics we are discussing. I assure you that I have a deep understanding of quantum mechanics. Unlike you, I have textbooks on Bohmian theory in addition to my textbooks on standard QM, so I am interested in the content of the theory rather then as labeling it with the term "hidden variables" in some kind of marketing attempt to brainwash young physicist.
Simply to say
Crosson said:How ironic it is that standard QM makes use of "hidden variables" .When is the last time anyone measured a wave function? Wave functions are inobservable in principle and so it is they which are the true hidden variables.
Bohm's theory is much more concrete then standard QM, since it speaks of particles as having trajectories.
Crosson said:If you were to read a text on Bohm's theory, you will see that nothing about the trajectories makes them "unobservable in principle", that's totally bogus propaghanda. The only thing which indicates that the trajectories are hidden is one of the traditional postulates of QM: that the wavefunction is the most complete possible description of the system.
Crosson said:There is no reason for this, it is postulated. It is just an assumption, and doesn't go anywhere towards proving that Bohmian trajectories are unobservable,
Crosson said:QM just assumes there are not.
"Just Assumes"

Crosson said:Lets get even more specific. Another postulate of QM is this voodoo: All observations correspond to self-adjoint operators, and the measured quantities correspond to that operator's spectrum of eigenvalues.
The problem with this is that it is impossible to construct a time operator in standard QM. In the 1950s Pauli proved that the above postulate is what imposes this limitation.
QM would be wrong if there was a time operator
You have no idea of time is. Of course Bohm theory is unnecesary (even if were consistent) for obtain a time operator. Strictly a time superoperator.
Crosson said:Of course, because Bohm's quantum theory of motion describes particles moving with well defined trajectories,
Completely false, the trajectories of Bohm are not classical trajectories and are not well defined.
Crosson said:it is relatively straight foward to calculate how much time it takes for various interesting events to occur. It is hoped that one day experimental precision will extend to very short time scales that will allow us to test predictions of Bohm's theory that do not exist in standard QM.
I already cited a very recent experiment where QM offered the correct answer and Bohm theory, again, the wrong answer.
Crosson said:Let me repeat myself: Bohm's theory does not involve anything which could be called a "hidden variable".
Of course false. You do not understand nothing of Bohm theory.
Crosson said:This is a marketing term used by many physicist who do not want to admit that the complex-valued wave function is what is truly hidden from observation. (What we observe are postions, momenta, energy levels and hopefully one day time scales, we certainly don't measure complex-valued wave functions).
Marketing? Is the complex valued function a hidden variable?
But are you studied QM some day? do you know what is the |Phy> in QM? do you know what is a ray?
For you Bohm theory of hidden variables is physical and both QM and planets orbits are hidden variables theories.
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