The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Undecidability and intractability in theoretical physics
Abstract
Physical Processes are reviewed as computations, and the difficulty of answering questions about them is characterized in terms of the difficulty of performing the corresponding computations. Cellular automata are used to provide explicit examples of various formally undecidable and computationally intractable problems. It is suggested that such problems are common in physical models, and some other potential examples are discussed.
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Citations
Cites
The thermodynamics of computation—a review
Bennett, C. H. (1982) · International Journal of Theoretical Physics · doi:10.1007/bf02084158 · Cited by 2,006
Cellular automata as models of complexity
Wolfram, S. (1984) · Nature · doi:10.1038/311419a0 · Cited by 1,507
Self-citationEntropy content and information flow in systems with limited energy
Bekenstein, J. D. (1984) · Physical Review D · doi:10.1103/physrevd.30.1669 · Cited by 104
Cited by
Random sequence generation by cellular automata
Wolfram, S. (1986) · Advances in Applied Mathematics · doi:10.1016/0196-8858(86)90028-x · Cited by 494
Self-citationUnpredictability and undecidability in dynamical systems
Moore, C. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.2354 · Cited by 414
Computational statistical mechanics methodology, applications and supercomputing
Abraham, F. F. (1986) · Advances in Physics · doi:10.1080/00018738600101851 · Cited by 306
The Nature of Physical Computation
Shagrir, O. (2022) · doi:10.1093/oso/9780197552384.001.0001 · Cited by 70
Albantakis, L., & Tononi, G. (2015) · Entropy · doi:10.3390/e17085472 · Cited by 58
Metadata
- Authors
- Wolfram, S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1985-02-25
- Volume
- 54
- Issue
- 8
- Pages
- 735-738
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2054966003
- Cited by
- 238
- References
- 3
- FWCI
- 10.55
- Type
- journal article
- Language
- en
- Open access
- closed
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- Wolfram, S. (1985). Undecidability and intractability in theoretical physics. Physical Review Letters. https://doi.org/10.1103/physrevlett.54.735
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
