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Undecidability in Physics: a Review

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arxiv 2410.16532 v2 pith:EMUOQ6Q6 submitted 2024-10-21 math-ph cond-mat.str-elmath.MPquant-ph

Undecidability in Physics: a Review

classification math-ph cond-mat.str-elmath.MPquant-ph
keywords undecidabilityphysicsproblemsreviewfirstinformationquantumrecent
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The study of undecidability in problems arising from physics has experienced a renewed interest, mainly in connection with quantum information problems. The goal of this review is to survey this recent development. After a historical introduction, we first explain the necessary results about undecidability in mathematics and computer science. Then we briefly review the first results about undecidability in physics which emerged mostly in the 80s and early 90s. Finally we focus on the most recent contributions, which we divide in two main categories: many body systems and quantum information problems.

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Cited by 1 Pith paper

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  1. Rethinking quantum information in gravity and fields

    hep-th 2026-06 unverdicted novelty 2.0

    The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.