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Post AjgfAPw7SDYCpsbFKK by [email protected] |
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More posts by [email protected] |
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Post #AjgP2ULNaKomvDc1Uu by [email protected] |
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I'm trying to understand how Maxwell came up with this famous equations - a… |
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Post #AjgQNLT7sSKXQpkFGa by [email protected] |
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Maxwell's original paper is free on Wikisource:โข James Clerk Maxwell, On … |
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Post #AjgQodakbXmnSSKE3k by [email protected] |
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@Dyoung @bstacey - where did you read that? If it were true it would be very i… |
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Post #AjgSbQhJQvTTbxDxRY by [email protected] |
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@Dyoung - I'm mildly relieved because I felt sure that the one really NEW t… |
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Post #AjgSo9UUid200gIMVM by [email protected] |
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@johncarlosbaez May your extended stay in Edinburgh lead you to the discovery o… |
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Post #AjgSo9asKu8SKTHSS0 by [email protected] |
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@quatrezoneilles - thanks very much! I worked for a while in Maxwell's ch… |
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Post #AjgTKw9BLqxMBIxY2K by [email protected] |
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@johncarlosbaez I'm staggered that he managed to get his em equations out o… |
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Post #AjgVTKN9MlBBXWcbMe by [email protected] |
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@johncarlosbaez @bstacey In the end, this is not the same method as those used … |
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Post #AjgXS7ycAReuiJhWD2 by [email protected] |
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@ak - the crown jewel of Maxwell's equations is the term he came up with hi… |
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Post #AjgXTc0E17c07xA6Ua by [email protected] |
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@johncarlosbaez @bstacey Are the ray of lights used by Newton less stupid? |
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Post #AjgXlmnQcq1GocqIVs by [email protected] |
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@RobJLow - To lessen the amazement slightly: all but one of the terms in Maxwel… |
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Post #AjgYISnpyuA0MacEQi by [email protected] |
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@fl - it's very similar to that limiting method, but he's also using *m… |
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Post #AjgYPxaRvQkJrivbcW by [email protected] |
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@johncarlosbaez @bstacey Interestingly McCullagh took a much more modern approa… |
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Post #AjgYPxgTZ1ZCAPkQ0u by [email protected] |
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@Luke_Drury @bstacey - Very interesting! McCullagh was too far ahead of this t… |
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Post #AjgYghz9BXGOOuSzE8 by [email protected] |
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@fl @bstacey - I don't think Newton or Maxwell were stupid... but it can fr… |
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Post #AjgfAPw7SDYCpsbFKK by [email protected] |
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@johncarlosbaez Speaking of that beast, did you read Stanislaw Lem's Demon … |
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Post #AjgfAQ1n785V7TFmAS by [email protected] |
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@quatrezoneilles - hmm, I once tried to read everything by Lem that's been … |
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Post #AjgfCEtBUzLV9V5zwO by [email protected] |
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@johncarlosbaez @bstacey Wel!! "stupid". I don't want to be misun… |
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Post #AjgfQmnMEYdaMdJ55U by [email protected] |
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@johncarlosbaez @bstacey does it look like he's explaining his intuition or… |
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Post #AjgfQmtjqpk2gQIB28 by [email protected] |
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@Colman - it looks like he's trying to invent a mechanical model of the kno… |
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Post #AjgoQIcXJyUgMo5WBU by [email protected] |
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@johncarlosbaez @bstacey I'm guessing this isn't really a mechanical mo… |
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Post #Ajgqf4Hn6CFIA2YRNo by [email protected] |
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@johncarlosbaez @bstacey @highergeometer There's a nice footnote in https:/… |
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Post #Ajgqf4OAiTLkTpXXKS by [email protected] |
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@Luke_Drury - thanks, that sounds like a paper I'd be very interested in!A … |
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Post #Ajgr7HnqR86wBw0EfQ by [email protected] |
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@dpiponi - it's a good question. You can look at his paper and see what yo… |
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Post #AjgrZXOa3cuSevenWi by [email protected] |
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@johncarlosbaez @bstacey He's saying pretty clearly it's just intuition… |
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Post #AjgsZf1Nnx92GSQfA0 by [email protected] |
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@dpiponi - Yeah! This model is in the paper where he first wrote down all of M… |
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Post #Ajgsn5zkpPnPgd4cls by [email protected] |
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@johncarlosbaez @highergeometer @bstacey There may also be a link to Hamilton&… |
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Post #Ajgsn66UQNBS1WE0Gm by [email protected] |
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@Luke_Drury - yes, in the paper where Maxwell invented the terms "curl&quo… |
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Post #AjgsvyinEychjaNMKe by [email protected] |
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@johncarlosbaez I hereby propose a collaboration to visualize these mechanical … |
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Post #AjgtK8UkYRTWzpKIPw by [email protected] |
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@dpiponi @johncarlosbaez @bstacey What do you make of his explicit mention of m… |
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Post #AjgtK8aQDM0pHPypG4 by [email protected] |
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@dougmerritt - One thing I want to understand is how Maxwell and Boltzmann came… |
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Post #AjgtSTSqTW90LdPZj6 by [email protected] |
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@j_bertolotti - I'd like that! Siegel's paper gives a pretty detailed… |
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Post #AjgvPuPe1cBSxyopWa by [email protected] |
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@johncarlosbaez @bstacey Presumably at this point in time Maxwell's equatio… |
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Post #AjgwoZRBFOxH6frQNU by [email protected] |
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@johncarlosbaez @dpiponi @bstacey You make me curious about the background of t… |
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Post #Ajgx2EwgEUQNbe72ZM by [email protected] |
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@dpiponi - great! @j_bertolotti has suggested - perhaps just kidding - that we… |
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Post #Ajgx7QnFbsCzneB3Zo by [email protected] |
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@johncarlosbaez @ak This stuff is fascinating. Thanks for sharing.Itโs amazin… |
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Post #Ajgx7QtdE9JS7RA9WS by [email protected] |
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@troy_s - yes, "the mind is a computer". ๐ข |
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Post #AjgxGzaJcrDCJFgbFA by [email protected] |
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@johncarlosbaez @dpiponi @bstacey From that passage, it sounds like he's sa… |
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Post #AjgxjDybi8Sj3MVi4G by [email protected] |
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@mattmcirvin - I believe those particles represent the electric field, or more … |
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Post #AjgxrEZzLx4vEvoZCC by [email protected] |
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@EricCarroll - Nice metaphor! Yes, that old stuff is left at the bottom of the… |
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Post #Ajgy11lfqC5uOwwyBM by [email protected] |
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@johncarlosbaez @ak In modern introductory physics classes, like the one I TA&#… |
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Post #AjgzNVJ4nTXyL5r5pA by [email protected] |
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@johncarlosbaez @dpiponi @bstacey But they also seem to be able to break free f… |
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Post #AjgzvGI38PLjc0TKIy by [email protected] |
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@johncarlosbaez Have long train trip tomorrow. Will try to read the article an… |
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Post #Ajh0AgZThjKTStykCG by [email protected] |
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@mattmcirvin - I think you'd like Daniel Siegel's discussion comparing … |
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Post #Ajh0UWVQpuwA2XXsem by [email protected] |
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@johncarlosbaez @ak I think the "usual modern story" got burned into … |
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Post #Ajh4WcJAdOWUQn42Jk by [email protected] |
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@j_bertolotti - great! |
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Post #AjhAXQf01fv0Jv2qMy by [email protected] |
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@johncarlosbaez @bstacey Darrigol (2003: Electrodynamics from Ampere to Einstei… |
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Post #AjhCJnn5QlNVucSQWO by [email protected] |
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@NickPizzoOceans @bstacey - thanks! I will look at that book |
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Post #AjhoXe5o55aU99F3hI by [email protected] |
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@johncarlosbaez @quatrezoneilles I remember thinking this story was a fable abo… |
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Post #AjiLF7QM6HY06McvB2 by [email protected] |
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@johncarlosbaez @bstacey As for the mechanical model, today if you are introduc… |
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Post #AjiLF7WjiYeSQ9c17g by [email protected] |
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@soaproot - you're tempting me to say a lot about quantum field theory, but… |
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Post #AjjXLVrjX7WMFeCxDk by [email protected] |
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@johncarlosbaez Cool thread!Here is my attempt to explain Maxwellโs model.Fig… |
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Post #AjkRRNKJmxAywGwyo4 by [email protected] |
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@johncarlosbaez An animation of how this creates waves, in this case standing w… |
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Post #AjkRRNz5LNmmyi1XLk by [email protected] |
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@faelif @GerardWestendorp - I hope @j_bertolotti looks at these animations, in … |
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Post #AjlVDTrbHY5g8J6jx2 by [email protected] |
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@johncarlosbaez I should mention that if the ball bearings are allowed to move,… |
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Post #AjlVDTxGwScyPtlGnA by [email protected] |
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@GerardWestendorp wrote: "if the ball bearings are allowed to move, we get… |
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Post #AjlYTcaEve5pfoNLPM by [email protected] |
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@dpiponi - now I'm reading Daniel Siegel's book "Innovation in Max… |
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Post #AjlmVouvRTyRrYzg48 by [email protected] |
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@johncarlosbaez @bstacey Shades of Kelvin's vortex theory maybe. |
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Post #AjmMx4H631dNf7ek88 by [email protected] |
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@johncarlosbaez Well, the \(\frac{\partial E}{\partial t}\) is caused by infini… |
