Mathematics, Physics & Computer Science Seminar Series

Seminář se koná 26.3.2025 od 16:30 v zasedací místnosti 200, Komenského náměstí 220/2

EVA MIRANDA

Certainty in UncertainTimes – From Hilbert’s Dream to Chaos

Will the 2024 YR4 asteroid strike Earth? Science’s answer: maybe. With a  shifting probability, it could arrive dramatically on Christmas Eve 2032. Despite our reliance on mathematics and physics for precise predictions, history warns us that certainty is elusive.
David Hilbert once dreamed of a world where reason would conquer uncertainty, but Alan Turing shattered this vision with his proof of the undecidability of the halting problem. Chaos theory warns that even minor measurement errors can escalate into vast unpredictability. Celestial mechanics, once seen as deterministic, reveals a universe more chaotic than Newton had imagined.
Beyond classical chaos lies a deeper enigma—logical chaos. In 2021, collaborating with Robert Cardona, Daniel Peralta-Salas, and Francisco Presas, I demonstrated the existence of undecidable fluid paths—trajectories so complex that no logical framework can predict their evolution. Could similar undecidable phenomena exist in celestial mechanics? Are there cosmic events so complex that no theory, no supercomputer will ever decipher them?

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