Shower idea of the day: instead of thinking of light as some weird thing that just happens to make the universe stay consistent under relativity and satisfying arbitrary things like “no information moves faster than light,” think of the universe as a giant computer where 1/
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a thought i keep coming back to related to this is that applying the CLT to a random walk on a grid and zooming out reproduces the euclidean metric which otherwise strikes me as extremely mysterious. suggests to me that space is discrete at the planck length or w/e
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the “speed of light” here is the speed at which this random walk propagates *on average*; analogously, in the feynman path integral formulation of QFT, you integrate over paths where photons travel faster than light