RT null T1 Undecidability in physics: A review A1 Perales Eceiza, Álvaro A1 Cubitt, Toby A1 Gu, Mile A1 Pérez García, David A1 Wolf, Michael M. AB 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. PB Elsevier SN 0370-1573 YR 2025 FD 2025 LK https://hdl.handle.net/20.500.14352/132723 UL https://hdl.handle.net/20.500.14352/132723 LA eng NO 2025 Acuerdos transformativos CRUE NO Ministerio de Ciencia e Innovación NO Universidad Complutense de Madrid DS Docta Complutense RD 26 feb 2026