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by lohankin 3444 days ago
> In a classical word, you must simulate only one path. In a quantum word, you must simulate both. You don“t need some magical conscious observer to force the collapse of the wave function. A CCD detector of a camera or a simple wall is enough to force that the "wave" collapse into a "particle" and the detector or wall gets a small spot where the "particle" hits it.

This is a common misconception (among programmers). There's zero experimental evidence for the effect you mention, and zero theoretical derivation. Circumstances under which wave function collapses is the greatest mystery of QM.

2 comments

> Circumstances under which wave function collapses is the greatest mystery of QM.

I agree with that.

Anyway, if you have an optical system, you can assume that coherence is present while the light hits mirrors, lens and similar optical equipment. (If the difference in the optical paths are smaller than the coherence length of your laser or light source.) But as soon as the light hits a white screen or a brick wall, all the further calculations must use only the intensity of the light at each spot in the screen, forgetting about the phase angle. And all the spots are not coherent.

It's not clear what cause the wave function collapse, but if you are using photons in the visible spectrum probably a mirror will not collapse it, and a brick wall will collapse it. [Or your preferred rewrite with the multiple word interpretation, or the abstract Hilbert space calculations.) I'm guessing decoherence is the correct explanation, there is a nice comment in a reply.

For other particles, the abstract calculation is equivalent, but it's necessary to choose another system to do the experiments.

That is not an answer to his objection.

If you follow the equations of the wave packet of the particle arriving to the wall (or CCD) detector, you then need to solve the equation of the interaction of the particle + all the particles in the wall or the CCD. The challenge of the collapse is that simulating anything beyond a few dozen quantum particles is too demanding. Mathematical models that simulate millions of particles need to make assumptions (typically they are too hot, too cold, too strongly bound, so you can ignore most effects - think 1D Ising model, Bose-Einstein Condensates, Photon gases, etc). But the full description of a particle + all particles in a detector still escapes us.

Therefore the transition between: superposition of paths -> particle lands at specific points has never been truly explored. The best description currently involves decoherence. Many theorems have been proven (and experiments done) in that area. The gist is that as you add particles to a system (2, 3, 4, 5, 10, ...) the superposition effects slowly cancel each other out. Another angle is the monogamy of entanglement (the more particles are entangled, the weaker the entanglement between any 2 particles). The idea of decoherence is that as things get larger, the weird effects of quantum physics become more "dilute". However, going from double slit to macroscopic reading still has many assumptions along the way.

Take the above explanation with a grain of salt (as I have tried to make it accessible).

Can we get some arguments with that link, please? Just posting a link does not contribute to the discussion.