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Timeline for Microscopic Lorentz force density

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Aug 6, 2023 at 11:16 answer added zuko1997 timeline score: 0
Jun 21, 2023 at 21:34 history edited Kubik CC BY-SA 4.0
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Jun 21, 2023 at 21:31 comment added Kubik @Buzz: OK, thank you. I was not aware of this article, which seems very interesting. I will read it carefully. This is a complex issue!
Jun 21, 2023 at 21:17 comment added Buzz @Kubik ... it turns out that, contrary to expectations, the mechanical/canonical ambiguity does appear, because there have to be source charges in the dielectric medium. See, e. g. journals.aps.org/prl/abstract/10.1103/PhysRevLett.104.070401
Jun 21, 2023 at 21:16 comment added Buzz @Kubik The Abraham-Minkowski controversy has indeed been resolved, although it took until this millennium. The resolution is that in electrodynamics, there is no single unique quantity that can be identified as "the momentum." The is well known for the momentum of a charged particle in a magnetic field, where the mechanical momentum $\vec{\pi}=\gamma m\vec{v}$ differs from the canonical momentum $\vec{p}=\vec{p}-\frac{q}{c}\vec{A}$. You might think this ambiguity would not be a problem for just wave propagation, and that's true—for waves in vacuum. However, for waves in media...
Jun 21, 2023 at 20:58 history edited Kubik CC BY-SA 4.0
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Jun 21, 2023 at 20:39 history edited Kubik CC BY-SA 4.0
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Jun 21, 2023 at 20:30 history edited Kubik CC BY-SA 4.0
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Jun 21, 2023 at 20:24 history edited Kubik CC BY-SA 4.0
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Jun 21, 2023 at 19:42 comment added Woe Also, notice that in the first approach you are calculating the force density -- therefore, even if the self-force is initially singular, its density (i.e., force over the point charge volume) could be finite. In any case, a continuum description seems much more natural to me (as in second approach), specially because the true microscopic field cannot be really assessed. This is developed in detail in one of the sources I linked.
Jun 21, 2023 at 19:34 comment added Kubik Thanks. The “Abraham-Minkowksi controversy” has not been solved after more than 100 years of theory and experiment!! It is one of the “perpetual problems” of physics, in words of the Nobel laureate Vitaly Ginzburg.
Jun 21, 2023 at 19:24 comment added Woe I would recommend two recent papers on this subject: this one and this one
Jun 21, 2023 at 19:08 history edited Kubik CC BY-SA 4.0
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Jun 21, 2023 at 19:03 history edited Kubik CC BY-SA 4.0
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Jun 21, 2023 at 15:48 comment added Kubik Fine. But then we will have to ignore the millions of papers in which the authors pretend to derive the MACROSCOPIC Lorentz force (in matter) from the MICROSCOPIC Lorentz force (for point charges), as if the later was more fundamental, e.g. Shevchenko & Hoenders, "Microscopic derivation of electromagnetic force density in magnetic dielectric media".
Jun 21, 2023 at 15:14 history edited Kubik CC BY-SA 4.0
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Jun 21, 2023 at 15:09 comment added Michael Seifert Most of these problems are (if I'm not mistaken) due to the use of singular charge & current distributions. If instead you assume that the charge & current densities are smooth, these issues do not arise.
Jun 21, 2023 at 14:53 history edited Kubik CC BY-SA 4.0
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Jun 21, 2023 at 13:43 history edited Kubik CC BY-SA 4.0
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S Jun 21, 2023 at 13:38 review First questions
Jun 21, 2023 at 13:55
S Jun 21, 2023 at 13:38 history asked Kubik CC BY-SA 4.0