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I'm not a physics or math whiz but isn't the relationship more of a virtuous cycle? I think I read that the 20th century was a revolution because of the marri
by jmyeet 2y ago
I'm not a physics or math whiz but isn't the relationship more of a virtuous cycle?
I think I read that the 20th century was a revolution because of the marriage between physics and math. Quarternions are key to relativity. Discrete math is littered all over quantum mechanics and the Standard Model. Like U(1) describes electromagnetism, SU(2) describes the weak force and SU(3) describes the strong nuclear force. In particular the mass of the 3 bosons that mediate the weak force is what led directly to the Higgs mechanism being theorized (and ultimately shown experimentally).
One of the great advances of the 20th century was that we (provably) found every finite group. And those groups keep showing up in physics.
The article mentions how string theory has led to new mathematics. This is really interesting. I'm skeptical of string theory just because there's no experimental evidence for "compact dimensions". It seems like a fudge. But interestingly there have been useful results in both physics and maths based on if string theory was correct.