GeorgCantor said:
Whether the cat exists while in a state of all possible superpositions is interpretation-dependent and after Bell, the options are quite limited. As you are well aware, you either toss relativity(or claim it's incomplete) in favor of non-local influences(this essentially would be just an assumption, not proof or evidence) or you learn to accept that systems in superpositions do not have definite properties and by extension - their own existence - until a measurement/decoherence takes place. This seems a very logical statement to make.
This is a misrepresentation of quantum entanglement. If you look at all the experiments that reported on the Bell-type experiment, NONE OF THEM claim of violation of SR. Why do you think that is?
In a quantum entanglement measurement,
no signal of any kind travels from one of the entangled entity to the other at a speed faster than c. This is a very crucial point. In fact, you can't use quantum entanglement to send communications faster than c!
Now, you can measure the responses made by, say, a bipartite pair, and show that they react at a rate faster than c. But in SR, it is the speed of a signal, or information, that is the limiting factor, and that cannot exceed c in the present-day formulation.
So no, no one other than you is tossing out SR based on all the Bell-type experiments. So here is an example of you extending something beyond what it says.
But the wave function doesn't live in classical 3D space but in Hilbert space.
The
basis functions are in Hilbert space, but the basis themselves have spatial and temporal dependence. So how does this allows you to draw a conclusion that such a thing doesn't exist in space and time? This already doesn't make any sense since you have not only a spatial operator that measure the position of an object, but one can also transform from real space into momentum space and in reverse. When I construct, say, the Bloch wavefunction, what do you think defines the
periodicity of the potential?
Are you believing in the many world hypothesis?
Er... don't jump to conclusions here. Again, you are bringing something and putting words into my mouth. I'm asking you to
justify what you said. I have no desire to justify your imagination of what you THINK I said.
"Real", macroscopic, Newtonian objects do not seem to display quantum mechanical features such as superposition. There is a clear-cut dissonance between quantum mechanics and Newtonian physics, where only one configuration occurs(and by logical extension can be said to 'exist'). I have no idea what it means to assert that a bacteria, or a molecule or a human can exist in all possible states described by probability amplitudes at once in time and space. Can you elaborate? Seems like you are introducing a new meaning to the word "exist" that will hardly be found in regular dictionaries(unless they were written by particle physicists for particle physicists, who all agreed on a particular interpretation).
1. Tony Leggett is NOT a particle physicist. In fact, he is in the same field as I am, condensed matter physics. This is the physics of materials, i.e. the stuff that you are using NOW. So none of the stuff we are talking about is "esoteric", and in fact, many of the most amazing indication of quantum phenomena came out of condensed matter experiment. Don't believe me? Look at Carver Mead's article on "Collective Electrodynamics", where he flat-out claim that the most convincing and clearest evidence of quantum mechanics at the macroscopic scale is superconductivity, not some "particle physics" experiments!
2. If you have looked at any of my writings on the quantum-classical boundary, you would have noticed that I claim that they are different from each other, and that the separation between the two at the mesoscopic scale is still unknown, i.e. we don't know if they are truly separated by something similar to a phase transition (i.e. many state variables change discontinuously through the transition), or that this is a smooth crossover. Decoherence is one way out, but it is NOT the only way out. Again, one of the papers I've highlighted in the Noteworthy thread is a paper that shows that our coarse-grained measurement of a quantum system can recover the classical state that we are familiar with. In other words, when we look at a cow from very far (i.e. our observation isn't very detailed), then we get back the sphere!
3. I used the term "real" to mean something to be physically meaningful/significant. See G. Giuliani, Eur. J. Phys. 31 871 (2010).
My point was about the physical nature of matter and while constructive and destructive inteference of EM waves might be easier to imagine, it isn't so with matter waves. Unless you let go of realism, which more and more physicists after Bell seem to have no problem with.
This automatically falsified your claim that the human brain can't fathom or understand with such a concept, unless, of course, you don't consider "more and more physicists" as belonging to the human specie.
Have you ever considered that familiarity breeds acceptance? We are more familiar with classical wave superposition. We are not familiar with quantum superposition. Is your difficulty in accepting the latter because you are not familiar with it? How often do you encounter it? How often do you do experiments in which these QM properties jump up at you? So the problem here may not be with the QM formalism, it could be YOU!
Here is a good question for you. The van der Waals radius of a C60 molecule is about 1 nanometer, the distance between the slits is 50nm( roughly 25 times the size of c60). It's very puzzling what would make someone claim that the unobserved 'entity' that went through both slits was a c60 molecule(that exists at all times)? Remember the c6o molecule is supposed to be a physical object(matter).
http://www.users.csbsju.edu/~frioux/two-slit/c60-slit.htmThe wave function of my body is gradually soaked in around me into space. Yet i claim that that wavefunction is not me, as there is no way to keep my physical processes functioning, and consequently i can't be alive and
exist in all possible states at once...
How is this "taking it too far"?
Here's a question for you. Look at the experiment, and see what they have to prepare the C60 molecule to make it undergo such an experiment. Hint: if they do this at room temperature, they won't see the interference effect.
This is where you your misunderstanding of what "coherence" mean comes into play, because you do not realize that every part of the C60 molecules have to be in coherence with each other. It is why a soccer ball cannot undergo such a process. Think of how difficult it is to get each part of a macroscopic object to be in coherence with each other.
In the Delft/Stony Brook book experiment, they managed to make 10^11 particles to undergo the Schrodinger Cat state experiment. 10^11! Think about it. What this means is that 10^11 particles have to be in a complete coherent state! If they are not, the effect is gone!
What you are taking too far is the meaning of superposition at the quantum scale. I am not a fan of applying rules at a scale where they haven't been shown to work. Deepak Chopra is notorious for doing such a thing, and I'm hoping that you don't do the same thing. This isn't about quantum rules working at the classical scale. This is about misrepresenting quantum rules at the quantum scale!
Zz.