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What’s next? Billiards are toy models for near-collision dynamics in the 3-body problem. If billiards can compute, undecidability should be hiding in celestial mechanics. In 2026, we will address this for the 3-body problem with @LegnaMath and Daniel Peralta. 🚀 #reyesmagos
Classical billiards can compute.
With @Isaacramr__ , we show that 2D billiard systems are Turing complete, implying the existence of undecidable trajectories in physically natural models from hard-sphere gases to celestial mechanics.
Determinism ≠ predictability. 🎱🧠@ETH_en












