Recent content by WernerQH

  1. W

    Undergrad What physical quantity has dimension [ML⁻³T⁻²] in electromagnetism?

    The asymmetry disappears if you set ## c=1 ##. There is no "unresolved tension" -- it's just the result of historical contingencies, of how we've perceived and measured the phenomena in the real world. Time and space were perceived as completely distinct, one being measured with clocks and...
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    High School A Recent Article claims that a paper's findings show "collapse" in real-world environments. Is this serious?

    I didn't find much of interest in the phys.org article. Not only quantum theory, but also experiments need interpretation! The "wave function" is a theoretical construct; it cannot be "observed", let alone its "collapse".
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    Undergrad What physical quantity has dimension [ML⁻³T⁻²] in electromagnetism?

    There is some arbitrariness about dimensions. The Gaussian system has only three, but it is a mix of the electrostatic (esu) and electromagnetic (emu) systems, which have conflicting dimensions for the quantity of electric charge. By convention, charge was chosen to be measured in ## \rm...
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    High School Interesting paper on QM in Scientific American

    Perhaps the only interesting (?) fact was that the birth of wave mechanics was 100 years ago.
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    Undergrad Unexpected findings in need of an explanation (retrograde motion of Mars)

    The ellipticity of the orbits is important. It just occurred to me that an asteroid with a very elliptic orbit, but a perihelion distance not much bigger than 1 AU, wouldn't produce a loop when it comes close to Earth. It would overtake Earth at a speed bigger than 30 km/s. (It would need...
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    Undergrad Unexpected findings in need of an explanation (retrograde motion of Mars)

    Minutes in right ascension (RA) are minutes of time, not minutes of arc. One hour in RA corresponds to 15 degrees, but only for motion along the celestial equator. Because the ecliptic is inclined with respect to the equator, the "hour" may be shorter than 15 degrees in constellations like...
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    Undergrad The imaginary part of the wave function

    We had a related discussion a while ago: One can use different linear combinations of the spherical harmonics, combining the ## e^{+im\phi} ## and ## e^{-im\phi} ## terms into ## \sin m\phi ## and ## \cos m\phi ## terms. Chemists are rarely interested in systems with exact spherical symmetry...
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    Undergrad One does not “prove” the basic principles of Quantum Mechanics

    "Transition probability" is a somewhat misleading term, because it suggests a "thing" undergoing a transition. (Is time special?) We should treat space and time together, and generalize the idea of atomism ("There are only atoms and the void") from space to spacetime. Quantum theory lets us...
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    Undergrad One does not “prove” the basic principles of Quantum Mechanics

    What does it mean to exist? Does the letter A exist on your computer screen, even though it's just a pattern of pixels, possibly refreshed 70 times per second? The term quantum "object" is based on a misconception: the idea that the continuity that we ascribe to classical objects must pertain...
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    Undergrad One does not “prove” the basic principles of Quantum Mechanics

    Exactly. Since charge is conserved, most physicists would say that an electron must have continuous existence. But this need not be the case on a timescale of ## \hbar / mc^2 \sim 10^{-21} \rm s ##. I think this is the origin of the famous "Zitterbewegung". Why do the Feynman rules demand...
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    Undergrad One does not “prove” the basic principles of Quantum Mechanics

    Do you think that the "basic principles" of quantum theory have reached their final form? I don't. Ballentine's two postulates depend on two notions that I find problematic: "state" and "observable". Ballentine emphasizes that they are not mathematical, but physical concepts and firmly...
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    Undergrad One does not “prove” the basic principles of Quantum Mechanics

    What are the "basic principles" of Quantum Mechanics? In mathematics proofs start from axioms, which were once thought to be self-evident and didn't need further proof. But Euclid's fifth axiom turned out not to be "self-evident". Most physical theories have not been axiomatized, because of...
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    Undergrad Importance of Hanbury Brown and Twiss experiment

    I just copied the wikipedia reference, and it seems to point to a nature paper with that title. Unfortunately it's behind a paywall. Have your read the wikipedia page?
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    Undergrad Importance of Hanbury Brown and Twiss experiment

    Have a look at https://en.wikipedia.org/wiki/Hanbury_Brown_and_Twiss_effect The effect seemed puzzling at the time, because of Dirac's remark that "a photon only interferes with itself" in his textbook. But E.Purcell showed that the HBT effect can also be understood classically: E. Purcell...
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    Undergrad Is there a bad intuition or bad explanation in quantum entanglement?

    Gentzen, thanks for investigating. :-) My copy of that arxiv paper is dated February 15, 2024. So I probably became aware of it also through Peter Woit's blog. But bhobba has been referring to it frequently.