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The Relation Between Mathematics and Physics by Paul Dirac (1939)

172 points · 84 comments · rramadass

  1. jimbokun · · focus · HN ↗
    Did Dirac’s prediction that studying “beautiful” mathematics would lead to breakthroughs in the understanding of Physics pan out?
    1. lacker · · focus · HN ↗
      Yes, quite well in fact. This lecture was in 1939. In the 50's, Lie groups (previously just a pure, beautiful mathematics) were used in particle physics. Gell-Mann used SU(3) to predict some new particles before anyone observed them.

      And then similar stuff happened later in quantum mechanics, with gauge theory, but I understand that only at a handwavy level. I think overall the "standard model" is a perfect example of what Dirac predicted.

      Whether this still holds up in the past 40 years is another question. I don't have a great example from my lifetime.

      1. GoblinSlayer · · focus · HN ↗
        The standard model is completely accidental, no? Also hierarchy problem.
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