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

172 points · 84 comments · rramadass

  1. voxleone · · focus · HN ↗
    There's this little pet project of mine, the Functional Universe [0]. It explores a direction suggested by Dirac: treating mathematical structure and transformation not merely as a language for describing physical reality, but as potentially constitutive of it. FU models physical reality in terms of functional state evolution, with an emphasis on composition, aggregation, and transitions. In that sense, I think there's an interesting point of contact with Dirac's emphasis on transformations: Dirac points toward transformations as fundamental mathematical structures from which physics might be derived; FU asks what happens if physical reality itself is formulated in terms of transitions and their composition.

    [0] <a href="https:&#x2F;&#x2F;voxleone.github.io&#x2F;FunctionalUniverse&#x2F;" rel="nofollow">https:&#x2F;&#x2F;voxleone.github.io&#x2F;FunctionalUniverse&#x2F;

    1. pixl97 · · focus · HN ↗
      I think Michael Levin is also doing work around platonic math being a thing that exists moreso than an actual concept. His work is related to biologies discovery of algorithms, the complexity levels of simple algorithms, and n-order effects that life is finding way to exploit for computational purposes.

      While not being deeply familiar with the work but I think the short of it is that life has found algorithms at many different orders that we&#x27;ve not discovered them yet, and by &#x27;running&#x27; these different algorithms it turns many P problems into NP problems.

      The interesting thing about it is you can make falsifiable tests around this and do actual science around it.

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