tag:blogger.com,1999:blog-3112258799568696095.post3950429807017605690..comments2023-10-22T18:56:55.398+05:30Comments on E's flat, ah's flat too: Magnetic monopoles from classical physicsRahul Siddharthanhttp://www.blogger.com/profile/04809667965184094636noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-3112258799568696095.post-6486861119212700842009-10-26T17:35:49.393+05:302009-10-26T17:35:49.393+05:30Thanks, Rahul.Thanks, Rahul.wildflower seedhttps://www.blogger.com/profile/08524758486095224055noreply@blogger.comtag:blogger.com,1999:blog-3112258799568696095.post-67173383544598135022009-10-24T21:01:23.680+05:302009-10-24T21:01:23.680+05:30ws - by "classical" I mean one doesn'...ws - by "classical" I mean one doesn't need to consider "superpositions of states", which is what gives quantum mechanics its distinctness. The spins are discrete in size and can point in only two directions each (and the reason for the direction constraint, as well as the correction to the intneraction, come from quantum mechanics). But once we accept the constraints and the interaction, the dynamics can be described by classical mechanics. Different spin states are not "mixed". <br /><br />In contrast, if the interaction were what is called a "Heisenberg interaction" (a vector dot-product of spins which are free to point in any direction) and the spins were not large, the quantum mechanical states would not be states where spins had well-defined directions: they would be superpositions of such states.<br /><br />About the animation, I didn't try directly uploading the animation -- I don't know if that works. (I know the preview doesn't show an animation but I don't know about the final result.) The animated gif is different from the image embedded in the post. It could be something to do with scaling the image when embedding it.Rahul Siddharthanhttps://www.blogger.com/profile/04809667965184094636noreply@blogger.comtag:blogger.com,1999:blog-3112258799568696095.post-8935754524752556482009-10-24T20:39:38.593+05:302009-10-24T20:39:38.593+05:30A fascinating discovery! Recently, I've starte...A fascinating discovery! Recently, I've started learning differential geometry (in the context of GR) because it may have some interesting applications in my discipline, and I'm repeatedly amazed by the elegance and beauty of the mathematics. But help me understand why the physics is classical. If ground-state spin is the stuff of quantum jitters, and if these monopoles emerge due to spin flips, then are we saying that information is neatly conserved in these flips, and therefore, the mechanics is classical? As an aside - did you make it so one has to click for the animation, or is that a blogger constraint? I've been trying to upload animated images to blogger without success.wildflower seedhttps://www.blogger.com/profile/08524758486095224055noreply@blogger.com