Coldcall said:
Maaneli,
"Did you understand that example? Do you know mathematically what the configuration space is and what the Hilbert space is? Can you write the singlet state wavefunction in standard QM formalism? If so, please show me exactly where in my example there is retrocausality. Namely, that there are particles or waves moving backward in time, or more precisely in the negative t direction."
I appreciate your inviting me to show off my terrible maths skills but I'm not falling for that old chestnut
But its not necessary in any case. This is pure common sense stuff. Let me ask you a question; where does Bohmian mechanics stand on the issue of background independence? The reason i ask that is because any instantaneous action in a background independent fundamental law will be retro-causal from the perspective of our classical reality with the speed of light contraints. In entanglment we know no wave or particle passes between the pairs, but there is still a retro-causal event. How its happening we don't know but in our world the influence of our action is having an instantaneous effect even if it was light years apart. That is retro-causal. Please don't confuse it with sending messages or signals or waves or particles in the manner, its impossible within our classic universe.
"In deBB, you would call the "hidden variable" the particle positions. Although, in the context of deBB, it becomes clear that the term "hidden variables" for the particle positions is a seriously bad misnomer, since in deBB it is the particles that we see in experiments and which give rise to the appearance of the classical physical world. It is the wavefunction in deBB (which is the same wavefunction as in textbook QM) that is the hidden variable since we never directly observe it like we do the particles. But, yes, because there is a configuration space wavefunction in deBB, it is a nonlocal "hidden variables" theory"
Okay i understand this part now. Bohmian mechanics claims the hidden position has a definite value. So what is it? Its really pushing the credibility envelope to claim there is a determined value before its measured/observed. That is asking for a tremendous amount of faith in something that cannot be proved.
"Some people have suggested the wavefunction is nomological or epistemological, as opposed to ontological. It is still an open question. However, as you can see from the mathematics of the theory, neither possibility contradicts the idea that a particle has a definite position in space."
Well it could be. But once again its making some heavy speculations. I'm not against speculation as you know

but its just asking me to believe something when i have opposing beliefs ( re the subjectvity within a superposition) which make more sense to me. On conjecture and speculation one is more likely to go with a theory one feels is the most logical. But I'm sure you appreciate that
"I'm sorry but this conjecture of yours makes no sense in the mathematics of entangled wavefunctions. A nonfactorizable wavefuncion, psi(x1, x2, t), clearly has a time dependence. There's no going around that. This is very basic QM, regardless of interpretations."
Once again i suspect what you are telling me is that Bohmian mechanics is a background-dependent theory? The time dependence calculation in qm is to explain the time factor in our universe - in classical terms. Most quantum gravity theorists think that any fundamental theory, string or otherwise will need to be background-independent. That means independent of space/time.
And as i pointed out before, the instantaneous "spooky action at a distance" of entanglement is prima facie evidence that qm, whatever fundamental law it is representing does not experience "time".
"Sorry, I honestly don't understand what question you're asking. Perhaps you could phrase it in clearer language?"
Okay if as Bohmian mechanics claims, that the wave function of a particle actually contains a defined value prior to measurement/observation it would seem to break conservation of energy because nature would be expending energy by having a hidden value for each and every object or particle in superpositon in the universe. Why is it necessary for nature to be called on to register (even subjectively) a hidden position? To me that seems inefficient and i don't see the point of it.
Regards
Coldcall
<< I appreciate your inviting me to show off my terrible maths skills but I'm not falling for that old chestnut
But its not necessary in any case. This is pure common sense stuff. >>
No but that's the thing, it isn't pure common sense stuff at all. It's very easy to make up interpretations about a physical theory if you don't have knowledge of the mathematics of the theory to constrain your range of interpretive ability. I assure you that a knowledge of the basic mathematics of QM is indispensable to being able to accurately and rigorously interpret QM.
<< Let me ask you a question; where does Bohmian mechanics stand on the issue of background independence? >>
I'm not sure. You're asking a question about deBB quantum and semiclassical gravity.
<< The reason i ask that is because any instantaneous action in a background independent fundamental law will be retro-causal from the perspective of our classical reality with the speed of light contraints. >>
Where are you getting this from? Classical physics (in the form of special relativity) is not background independent. Background independence is a property of general relativity, not special relativity. And in neither case is there retrocausality. So I don't know what you're saying.
<< In entanglment we know no wave or particle passes between the pairs, but there is still a retro-causal event. How its happening we don't know but in our world the influence of our action is having an instantaneous effect even if it was light years apart. That is retro-causal. >>
No this isn't retrocausality. Please take the time to learn the mathematics of QM. I can't debate any further with you on this until you do. Because then it is just your belief in your own interpretation (which is not based on any of the mathematics of QM) versus mine which is solidly based on mathematics of QM.
<< Please don't confuse it with sending messages or signals or waves or particles in the manner, its impossible within our classic universe. >>
What's confusing is that you're using a term (retrocausal) in a context which is totally unqualified.
<< Bohmian mechanics claims the hidden position has a definite value. So what is it? Its really pushing the credibility envelope to claim there is a determined value before its measured/observed. That is asking for a tremendous amount of faith in something that cannot be proved. >>

. That's a bizarre way of thinking! If you think it is really pushing the credibility envelope to claim there is a determined value before its measured/observed, then I guess you would say classical mechanics and classical electrodynamics are dubious theories in their domain of empirical validity because the equations of motions of particles are deterministic? I guess you would say that the moon does not have a location in space when you're not looking at it? I guess you don't believe there are probably people standing in front of you when you see them doing so with your eyes? Have you ever studied philosophy of science or epistemology at a college level? Sorry to be so shocked, but where did you get this idea that this requires a "tremendous" amount of faith? And "tremendous" compared to what else I ask you?
In any case, the position of the Bohm particle is clearly specified by the guiding equation. The way you find out about it is by knowing either the initial or final position (by making a measurement) and then running the deterministic guiding equation into the future (predicting) or the past (retrodicting) to determine the trajectory the particle took. Just like in classical mechanics and electrodynamics.
<< but its just asking me to believe something when i have opposing beliefs ( re the subjectvity within a superposition) which make more sense to me. >>
An epistemological interpretation of wavefunction superposition is not in contradiction with the idea that there is a particle with a definite position. This is also true of the Hamiltonian in classical mechanics.
<< Once again i suspect what you are telling me is that Bohmian mechanics is a background-dependent theory? The time dependence calculation in qm is to explain the time factor in our universe - in classical terms. Most quantum gravity theorists think that any fundamental theory, string or otherwise will need to be background-independent. >>
I have always been talking about nonrelativistic and relativistic QM, both of which are background-dependent theories. And I thought you were talking about them as well, not quantum gravity. In any case, there are extensions of deBB to quantum gravity and string field theory. But I am not an expert on them.
<< And as i pointed out before, the instantaneous "spooky action at a distance" of entanglement is prima facie evidence that qm, whatever fundamental law it is representing does not experience "time". >>
No you're confusing QM with quantum gravity. They are quite different theories. It is very basic QM that wavefunctions generally have time dependence. When wavefunctions have no time dependence, this is called the stationary state. I recommend learning the theory of QM before getting lost in speculations like these, as it has seriously led you astray.
<< Okay if as Bohmian mechanics claims, that the wave function of a particle actually contains a defined value prior to measurement/observation it would seem to break conservation of energy because nature would be expending energy by having a hidden value for each and every object or particle in superpositon in the universe. >>

OK. It is basic QM that wavefunctions have a deterministic and unitary evolution. That's true of the Schroedinger evolution in any interpretation. This has nothing to do with conservation of energy issues. Honestly, this can't go much further until you learn the mathematics of standard QM.
Peace,
Maaneli