Isaac
@isaacramr__
ID: 1360602423434375170
13-02-2021 14:51:23
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Classical billiards can compute. With Eva Miranda, we show that 2D billiards are Turing complete: even simple systems can have undecidable trajectories. Determinism ≠ predictability. So if you lose at pool, you can blame computability theory 🎱🤯 arxiv.org/abs/2512.19156
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 plan to address this for the 3-body problem with Ángel González Prieto, D. Peralta #wisemen Stephen Wolfram
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 Ángel González Prieto and Daniel Peralta. 🚀 #reyesmagos
🎱 A ball. 🎱 A table. 🎱 A computation. A sufficiently weird billiard table is Turing complete. 🕳️ The 8-ball hits the halting wall. Game over. Our article with Isaac is highlighted as Paper of the Month by Elise Cutts has migrated 🐦🦋 here reviewertoo.com/paper-roundup-… Universitat Politècnica de Catalunya (UPC) Centre de Recerca Matemàtica | CRM-CERCA
🔹 From Geometric Ideas to Computational Frontiers 📍 Feb 20, Facultad Mat, UCM A joint venture with Wolfram launching a formal collaboration at the interface of geometry, dynamics & computation 👉 Info: sites.google.com/upc.edu/symcre… Ángel González Prieto Fundación BBVA Agencia Estatal de Investigación
El 20 feb 2026: "From Geometric Ideas to Computational Frontiers", workshop conjunto AQUACELL– Wolfram Institute sobre geometría, computación y fenómenos complejos, en Matemáticas UCM. Cierre con coloquio online de Stephen Wolfram (18:00). sites.google.com/upc.edu/symcre…