Comments by "Lepi Doptera" (@lepidoptera9337) on "Sabine Hossenfelder" channel.

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  33. ​ @SteveKelly1  The particle language goes back to Einstein's 1905 paper on the photoelectric effect. In that paper he gives a congenial explanation for the macroscopic photoelectric data in terms of the quantization of the electromagnetic field. But at the same time he commits his actual biggest blunder. After having identified quanta of energy, he immediately concludes in a single sentence that these quanta have to have location properties like Newtonian corpuscles. That conclusion isn't backed up by any observational detail of the photoelectric effect. It doesn't match the well known definition of energy as a system property. It's also completely unnecessary for the remainder of the paper. It's a completely unforced slip of Einstein's mind. Unfortunately other authors after Einstein have picked up this mistake and they kept building on it (to this day). What physicists mean by "a particle" is actually a quantum of energy, momentum, angular momentum and charge. Neither of these properties refers to a "small, localized object". They are all system properties. The theory does not describe particles. It describes changes in the energy of systems. You can find this clearly expressed in Heisenberg's matrix mechanics paper where initial and final energy was used as index into the matrices. That's the correct interpretation except that it's not just energy but the quad of energy/momentum/angular momentum and charges. Why these? Because these are the only locally conserved quantities in nature. Everything else changes, but these quantities get transferred from system to system. We have language for property exchanges. Energy FLOWS. It does NOT take a path. The entire concept of path makes no sense because systems are random subdivisions of nature. They don't even have to be some continuous regions of spacetime. Even in classical mechanics the energy of a spring is not localized, for instance. It's in the entire spring. The kinetic energy of an extended object is not in the center of mass of that object, either. We never had this illusion that energy etc. has to be focused in some tiny region of spacetime. That is purely an invention (and not a good one) of non-relativistic quantum mechanics. In quantum field theory it's even worse. the only well defined states are the plane waves of the (interaction) free theory. Everything else is a jumbled mess without any known physical interpretation. Whatever happens in the interaction volume can only be described with classical quantities if we look at it from infinitely far away. In other words: the closer we look, the blurrier nature gets. It doesn't get more "point-like". So, no, not only do particles not travel along paths, there simply are no particles. There are initial and final system states and they are characterized by changes in energy, momentum, angular momentum and charge. That is a fundamentally different (and 100% correct) way of looking at the world.
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