Comments by "Lepi Doptera" (@lepidoptera9337) on "Why is quantum mechanics weird? The bomb experiment" video.
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@skhi7658 IMHO it's the way we teach introductory quantum mechanics. I was completely lost after my own QM 101 class. I understood the math, of course, that's easy enough, but I had no idea what it actually meant. I didn't develop a working intuition until after I got into experimental high energy physics, had to read the CERN detector design documents and began to work on actual detector hardware. After that it became clear very quickly that all we are ever measuring are energy, momentum, angular momentum and charge. It was really that "hands on" experimental work that clarified the concepts for me. The textbooks, however, are usually being written by theorists and are staying close to the original "particle" language from the early days, which, unfortunately, is misleading. So, yeah, we have a century's worth of quantum mechanics textbooks that should be rewritten... same math but emphasizing that we are looking at energy that is distributed in a quantum field.
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@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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@blahdiblah2169 It was never "shut up and calculate". For me it was always "I don't understand QM101 at all, so let's go to the library and see if we can't find something that makes sense". It took me several weeks of more or less random digging in old journals and textbooks, but then I found Feynman's 1948 paper on the path integral formulation of the Schroedinger equation and then the lights went on. From there I began dabbling in quantum field theory and it took me years (I suck at theory) to understand why the QFT guys don't give a frell about measurement operators. And then I did a PhD in experimental high energy physics and there you notice very quickly that what your detectors are measuring are always energy and momentum. You aren't measuring some random linear operator over a general Hilbert space. It's not math but the most concrete physics in the world. It's the relativistic miniature version of collisions between massive objects that you have seen in high school physics, except that there are no massive objects, but the formulas for kinetic energy and momentum exchanges are still valid.
And then I read some more about it and I found Mott's paper from 1929 that explains why plane waves with high momenta automatically form particle tracks in detectors and another set of lights went on. And at that point you can completely abandon the QM 101 nonsense about particles. There are no particles. There are only quanta and quanta are energy and momentum and angular momentum exchanges between fields.
And once you know all of that, then you can go back and re-read the old papers of Heisenberg and others from the 1920s and you will find that you were never asked to shut up and calculate. It's all in those old papers, already. The entire physics intuition that you needed to make it successfully in QM101 was already there. What had simply happened in my case is that the guy who read QM101 to us (literally... he didn't give a frell) was not a high energy physicist, he didn't care about foundations of quantum mechanics, he had never built a relativistic detector, he had never read a thing about path integrals, he had never read Heisenberg's papers, either. He knew the formalism from abstract modern textbooks that didn't mention any of that and that was enough for him to do his job in solid state physics. He was the last guy on Earth who should have been teaching QM 101.
That is not a problem with quantum mechanics. That is a problem with how we teach quantum mechanics to undergrads.
And that, my friends, is exactly the state of quantum mechanics "teaching" on the internet. You are getting a completely mutilated version of a non-relativistic approximation of quantum field theory (which is the only real physical theory that is self consistent) presented by people who don't know that what they are showing you is not the real deal. They simply don't know what they don't know. That is physics DK.
And now you have to decide if you want to download Mott's 1929 paper and Heisenberg's 1927 papers (or thereabouts) and read a good textbook or two on QFT and go through Feynman's derivation of the path integral for the Schroedinger equation (one of the most beautiful theory papers in all of physics IMHO) or if you want to pretend that you know it all when you don't know anything, whatsoever. Take care.
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@neillibertine3044 What are the most general systems that we know about? Fields. If we want a fundamental theory, then we have to study fields. Unfortunately it turns out that fields are very hard to study, both experimentally and theoretically. That's why we don't start physics with fields but with systems with discrete "components" like "chunks of matter".
For instance, the most important of all solvable classical particle systems, the Kepler problem, is handled by abstracting a gravitational field and the matter fields away. We decide that we don't care about the nature of matter and assign a classical kinetic energy to chunks of it and we decide that we don't care about the details of gravitation and we describe it in a simplified way as a potential energy term (that depends on the distance of the centers of mass of our chunks). We are then solving the equations that transform kinetic energy in potential energy and vice versa (while obeying global momentum and angular momentum conservation).
The critical term that describes which particular system we are analyzing (Kepler problem, harmonic oscillator, pendulum etc.) is therefor the potential energy term. It is here that we can realize that potential energy does not belong to any particular constituent of the system but to the system as a whole. No matter how many parts (chunks of matter, springs etc.) the system has, there is always one potential energy term that describes all of it.
You are correct that this is not how we are teaching classical mechanics in high school. We are, however, teaching exactly this in the first theory classes in university by introducing the Lagrange and Hamilton formalisms. Then, a semester later, or so, we are teaching students how to "quantize" these classical systems by using the Schroedinger formalism, which replaces the kinetic energy term with a Laplacian and the potential energy term with a multiplicative linear operator.
If you happen to take classes on electrodynamics (the most simple of fundamental physical field theories), then you can later learn in your graduate level QED class how one goes from the Hamiltonian of the electromagnetic field to the quantized field equations by inserting it into a path integral. That, like the Schroedinger equation, is a quantization procedure. It is, however, a much, much more complicated one with sheer endless mathematical consequences that are still not fully understood, yet.
In any case, the big picture is that we never work with "chunks of matter" in these theoretical descriptions. We are always working on the level of system energy.
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@neillibertine3044 "first thing first, if an atom is in higher energy state how it come to so."
Usually by absorbing a photon, i.e. from the electromagnetic field. That is already a simplifying description because "an atom" is actually an electromagnetically bound system. The atom/em field distinction is already a system boundary made by physicists, it's not one made by nature.
So when you say "extra energy from outside", then you are already using the system language that I was talking about.
That atoms are "particles" are semi-classical approximations that you were taught to believe in in school because it is extremely difficult (and in most cases also unnecessary) to describe atoms with quantum field theory. The only difference between us is that I know when I am dealing with an approximation of that kind and you are glossing over it.
"Field theory, field whether scalar like temperature or vector like electric, dont exist without particles."
Why does an electromagnetic field not exist without particles? The classical field description is through either a four vector with a scalar electric field potential and a three vector for the magnetic vector potential. You can expand that to a four-by-four tensor for the electric and magnetic field components, if you like.
Once you quantize that you won't get particles, either. What you will get are field quanta, which are energy/momentum/angular momentum (spin) values. There will never be "an object" jumping out of a quantized em field. Experimentally that is fully supported by something as trivial as solar panels. They absorb electromagnetic field energy at 1e15Hz and convert it into a different form of electromagnetic field energy at near 0Hz. No particles needed.
"About kepler description, there is no conservation of angular momentum for elliptical orbit, so keplers description is faulty."
You really need to go back to your physics books for that one. It's completely false.
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@neillibertine3044 Matter is an emergent phenomenon of quantum fields. Protons and neutrons are bound states of quarks and gluons. Nuclei are bound states of protons and neutrons, atoms are bound states of nuclei and electrons, molecules are bound states of atoms and so on. Where quanta come in is during system changes. Nature doesn't know about systems. Nature is all one entity. Systems are definitions by physicists. We know that these artificial entities interact by exchanging globally preserved physical properties like energy, momentum, angular momentum, electric charge etc.. "A quantum" is an irreversible exchange of one or several of these properties. For thermodynamic reasons energy always has to change (that follows from the third law that does not allow zero temperature, which basically leads to a minimal thermal background energy density condition). So if any detectable change in a physical system should occur, there has to be an irreversible energy exchange. That is what we call "preparation" (aka "source") and "observation" (aka "detector").
As you can see, quantum mechanics is therefor a systems theory. It describes how physical systems interact with each other using measurable (classical) physical quantities. No particles required at any time. Classical mechanics is also a system theory, by the way, you were just never taught to understand it that way. If you had been taught properly, then the "emotional" transition to quantum mechanics would have been trivial.
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@neillibertine3044 Like I said, a single photon does not produce a measurement that even shows interference. In an interference experiment we need, at least, two measurements. On dark stripe, one bright stripe, for instance. That's a non-reducible number (and it will give very poor statistics).
None of this has anything to do with interaction. Again, it's the total absence of interaction that causes this. In quantum field theoretical terms, if you want to have a self-interacting theory, then you have to have, at least, a phy^4 term (phy^2 is just the energy of a linear field). Light, at least at optical frequencies, is completely without self-interaction. The lowest order photon-photon scattering process is a four-photon gamma_1 + gamma_2 -> gamma_3 + gamma_4 process, which is suppressed by some 50 orders of magnitude for ordinary photon densities in optical light sources if I remember correctly. It's a very hard experimental challenge to make free-electron gamma sources and femto-second laser sources that can actually produce these non-linear interaction between photons without the use of electrons or other charged particles.
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