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patrickc's profile
Patrick Collison
Patrick Collison
Patrick Collison
Verified account
@patrickc

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Patrick CollisonVerified account

@patrickc

Fallibilist, optimist. Stripe CEO.

patrick@stripe.com
patrickcollison.com
Joined April 2007

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    Patrick Collison‏Verified account @patrickc 13 Jun 2019
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    Patrick Collison Retweeted Elon Musk

    This is one of the most amazing things I ever learned in physics: you can derive Maxwell’s equations from Coulomb’s Law and Einstein’s two special relativity postulates. (I’ve never seen a good derivation of this online — pointers welcome…)https://twitter.com/elonmusk/status/1138858999309144064 …

    Patrick Collison added,

    Elon MuskVerified account @elonmusk
    🧲 is relativistic side effect of ⚡️
    2:10 AM - 13 Jun 2019
    • 57 Retweets
    • 500 Likes
    • jorgdoku Pravin Kumar EveryWayToMakeMoney Christian Battaglia Fabien Marin Abhishek Kulkarni isao Didi Suganya Krishnan
    29 replies 57 retweets 500 likes
      1. New conversation
      2. Sean McClure‏ @sean_a_mcclure 13 Jun 2019
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        Replying to @patrickc

        1/4 We currently expect any complete physical theory to be relativistically invariant, so I wouldn't say deriving Maxwell's equations from Coulomb's Law and Special Relativity is groundbreaking (but cool yes).

        1 reply 0 retweets 5 likes
      3. Sean McClure‏ @sean_a_mcclure 13 Jun 2019
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        Replying to @sean_a_mcclure @patrickc

        Remember that Special Relativity grew out of classical electromagnetic theory and experiments inspired by it. Maxwell’s field equations, developed long before the work of Lorentz and Einstein, proved to be entirely compatible with relativity. In fact, Einstein's 1905 paper was...

        1 reply 0 retweets 6 likes
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      1. jestem króliczkiem‏ @karlicoss 13 Jun 2019
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        Replying to @patrickc

        not really a derivation, but Veritasium video gives some intuitive argumenthttps://youtu.be/1TKSfAkWWN0 

        0 replies 0 retweets 19 likes
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      2. Petrus Theron‏ @PetrusTheron 13 Jun 2019
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        Replying to @patrickc

        Signal processing math is "unreasonably effective" in several domains (music, harmonics, mechanics). Electrical Engineering should be called Signal Engineering.

        1 reply 1 retweet 5 likes
      3. Toby - On a road to nowhere #stayingthef***home‏ @tobyallen 14 Jun 2019
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        Replying to @PetrusTheron @patrickc

        It’s also one the hardest undergrad courses around. You need to take so many lessons almost on faith until it clicks into place in your mind.

        0 replies 0 retweets 2 likes
      4. End of conversation
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      2. Eric Aleman‏ @EricAleman_ 13 Jun 2019
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        Replying to @patrickc

        Principles of Electrodynamics by Melvin Schwartz has the clearest derivation

        1 reply 0 retweets 27 likes
      3. Tom‏ @tompccs 14 Jun 2019
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        Replying to @EricAleman_ @patrickc

        Classic text, although if you learn EM from it you will probably fail the exam (he uses a completely different system of units)

        0 replies 0 retweets 0 likes
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      2. Rishi Gosalia‏ @GosaliaRishi 14 Jun 2019
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        Replying to @patrickc

        1. Here's the best explanation I have seen -- Feynman's Lecture Vol II Chap 13: http://www.feynmanlectures.caltech.edu/II_13.html  section 13.6 "The relativity of magnetic and electric fields"

        3 replies 0 retweets 3 likes
      3. Rishi Gosalia‏ @GosaliaRishi 14 Jun 2019
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        Replying to @GosaliaRishi @patrickc

        2. If we had chosen still another coordinate system, we would have found a different mixture of E and B fields. Electric and magnetic forces are part of one physical phenomenon—the electromagnetic interactions of particles.

        1 reply 0 retweets 1 like
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      1. Shaun Maguire‏ @shaunmmaguire 13 Jun 2019
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        Replying to @patrickc

        Lubos has a quick answer here: https://physics.stackexchange.com/a/3620  His answer is basically "proof by tensors" so requires some familiarity with tensors to make sense of Having said that, I agree with @sean_a_mcclure that this is running history in reverse.

        0 replies 0 retweets 6 likes
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