Comments by "Lepi Doptera" (@lepidoptera9337) on "Why is quantum mechanics non-local? (I wish someone had told me this 20 years ago.)" video.

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  15.  @marcozec5019  One has to understand measurement as a real, hands on, expensive lab hardware kind of process. It is not some "esoterical, mathematical, philosophical" abstract. A typical quantum mechanical measurement apparatus is like a spectrometer, which consists of an aperture/grating system that separates different wavelengths of light, followed by a detector, which could be a photodiode, a CCD camera, a photomultiplier tube or just the unaided human eye. It turns out that we can build many different kinds of spectrometers of this kind, that select different properties of the light. The most simple grating is a single slit, which detects if light is coming through one particular spatial region. The next kind is a lens followed by a single slit, which detects if light is coming from a certain direction. The first kind of measurement is a position measurement, the lens makes it a momentum measurement. With an input slit and a fine physical grating we arrive at a true spectrometer that measures the energy distribution in the incoming light. We can add a "temporal aperture" and then get time dependent distributions as well. What never changes is the actual detector, which always removes energy from the electromagnetic field. What the math of the theory describes (in an abstract way) is the particular physical effect of our physical apertures/lenses/gratings etc.. This is almost never mentioned in theory textbooks. For that you have to study experimental physics textbooks which explain "how" a particular measurement can be done with actual physical means. There is, unfortunately, no trivial correspondence between experimental hardware and the operator calculus that we can find in theory books. There simply can't be because there are no "ideal" experiments. A quantum mechanical "measurement operator" can, at most, be crudely approximated with actual lab hardware and there is a lot of art and hard work to that experimental process. Most of the "fundamental problems" in quantum mechanics stem from the different kinds of approximations that we have to make to get from real hardware to the operator calculus. They exist in the theory but they don't exist in reality because the limits of the theory that cause the perceived problems are being made obsolete by the actual physical processes that are happening in an actual measurement. One can learn some fundamental insight from that, as well, but they are usually lost in the theoretical literature which suffers a little bit from naval gazing. If all you do all day long is to look at the structure of the ideal theory, all you will ever find are the problems with the theory, whether they are actually present in reality or not. Most of them are not.
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