Recent content by renormalize

  1. R

    Help needed with Elliptic Integrals

    Mathematica can evaluate the indefinite integral on the right side: Here, ##\text{EllipticF}\left[\phi,m\right]## is the elliptic integral of the 1rst kind ##F\left(\phi\mid m\right)## and the ##r_k## are the 3 roots of the cubic polynomial equation ##c-r^2+2\,r^3=0##. According to the...
  2. R

    I Rayleigh scattering and reversibility

    OK, but why even bother with Rayleigh scattering? If you simply take an isotropic point-source of light that is sufficiently dim, it will emit detectable individual photons, each in a "random direction". How does that help explain "Boltzmann's statistical theory of gases and the Second Law of...
  3. R

    I Self Energy?

    Yet the very first sentence of your original post was: which contradicts the Feynman lecture I quoted and is clearly wrong. Are you espousing a personal theory?
  4. R

    I Self Energy?

    What Jackson says there regarding discrete charge distributions is (my emphasis added): So the self-energy terms are there in principle but are dropped by convention. This is allowed because they are (infinite) constants that simply set the zero of the energy ##W## and are thus ignorable. That...
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    I Self Energy?

    Absolutely. From Jackson, Classical Electrodynamics 2nd ed. pg. 28 (emphasis added by me): So by definition, the electrostatic field ##\vec{E}## in eq.(1.1) ignores the effect of the charge ##q## on itself, but only in the limit ##q\rightarrow 0## (i.e., infinitesimal charge). This same...
  6. R

    I Self Energy?

    Can you please clarify the citation by providing the author, title and page number of the text where this quotation appears? Thanks!
  7. R

    I Self Energy?

    In your attachment you assert: This is certainly true for a point "test charge" with infinitesimal ##q\,##, which by assumption does not contribute to the potential ##\phi##. But can you cite a textbook reference that justifies and agrees with your last two sentences above for a point charge in...
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    I A question about the origin of Coulomb's law and point charge divergence

    How does this formula compare to the well-verified results from QED? In particular, where does Planck's constant ##h## enter it?
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    I A question about the origin of Coulomb's law and point charge divergence

    It's apparently hard to separate the possible structure of the electron from the characteristics of the EM field surrounding it. You might take a look at: Matt Visser, A classical model for the electron (https://www.sciencedirect.com/science/article/pii/037596018990337X?via%3Dihub) Abstract: The...
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    I A question about the origin of Coulomb's law and point charge divergence

    How about non-linear electrodynamics? https://en.wikipedia.org/wiki/Born%E2%80%93Infeld_model
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    I Can (ordo) Fermions convert to Bosons?

    Can you explain what you mean by "(t)he system quantum state is conserved" and in what sense "photons are compressible"?
  12. R

    On Progress Toward AGI

    You state that "intelligence is based in incomplete, multi-valued logic from the get go". Is that simply an assertion or can you cite a proof that intelligence cannot be be based-on, and arise-from, binary logic?
  13. R

    What is this metal insert for in a desk?

    Actually they do hold the wood pieces together. They're called Cam Lock fasteners: (from https://www.amazon.com/LXLVOUEG-Locks-Furniture-Lock-Fasteners/dp/B0CQP9XMBF?tag=pfamazon01-20)
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    History Biographies, History, Philosophy of Physics

    Take a look at https://arxiv.org/: Physics: History and Philosophy of Physics Condensed Matter: Disordered Systems and Neural Networks Condensed Matter: Strongly Correlated Electrons Condensed Matter: Superconductivity High Energy Physics - Theory The Anderson biography appears under all those...