Flow chart of the minimal math background needed for an in-depth understanding of each field of Physics you'd learn as an undergrad Directly below each Physics topic (red) is the "language" of that particular fieldpic.twitter.com/TFTisk0zbW
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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Flow chart of the minimal math background needed for an in-depth understanding of each field of Physics you'd learn as an undergrad Directly below each Physics topic (red) is the "language" of that particular fieldpic.twitter.com/TFTisk0zbW
Are there any applications of advanced abstract algebra in any physics disciplines?
What counts as advanced abstract algebra? There are certainly areas of physics that rely on various aspects of group theory, but I’m not sure whether that counts in your book or not.
Okay. I guess any concept of aa in it's full form, idk maybe the wrong terminology. What I specifically would like to know is if algebraic topology plays any role in physics? group theory is used in SM & gauge theory i suppose.
Algebraic topology is huge in modern physics — it’s needed for an in-depth understanding of gauge theories (even electromagnetism), for instance. Representation theory is even more fundamental, and Lie group are *everywhere*.
I second the importance of representation theory .. and yea gauge theories .. everywhere
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