Researchers prove a single 2D billiard ball can simulate a universal Turing machine

prof_g · x · 2026-09-11

Researchers evamirandag and Isaacramr announced a proof that a single ball on a 2D billiard table can simulate a universal Turing machine, solving a problem posed by Cris Moore.

The timing is pointed: the authors framed it as a mathematical flex ahead of any OpenAI announcement about resolving a Millennium Prize Problem. Billiard-ball computation is a classic topic in computability theory, and this is a pure math result rather than an AI milestone.

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