t’Hooft has a very conceptually nice paper on the electromagnetic duality: https://twitter.com/InertialObservr/status/1149765367452983296 …pic.twitter.com/iMjzMs3P2l
PhD student of Theoretical Particle Physics @UCIrvine l @NSF Fellow l Physics & Math Animations l Patreon: https://www.patreon.com/inertialobserver …
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t’Hooft has a very conceptually nice paper on the electromagnetic duality: https://twitter.com/InertialObservr/status/1149765367452983296 …pic.twitter.com/iMjzMs3P2l
There are plenty of helpful illustrations that go into his explanation of symmetries:pic.twitter.com/85was45Ykm
There are many symmetries and dualities in physics. To name a few of the former: - geometric - permutation - spacetime - dynamical - gauge (the best kind of symmetry, obviously)
t’Hooft’s illustration of an electromagnetic gauge symmetry:pic.twitter.com/23wUWXZfUo
Dualities are a bit more difficult to motivate than ordinary symmetries. ‘Invariance’ in symmetries can be explained geometrically with, for example, a square under certain rotations:
—> 90° rotation —>
So what do we mean when we say “theory X is dual to theory Y?”
Some say that a symmetry in physics is a relation within one theory, while a duality is a relation between two theories. Discovering that a duality exists between two theories is usually surprising—two seemingly distinct things are found to be equivalent (in the right way).
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