The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Assembly theory explains and quantifies selection and evolution
Open accessAbstract
Scientists have grappled with reconciling biological evolution 1,2 with the immutable laws of the Universe defined by physics. These laws underpin life’s origin, evolution and the development of human culture and technology, yet they do not predict the emergence of these phenomena. Evolutionary theory explains why some things exist and others do not through the lens of selection. To comprehend how diverse, open-ended forms can emerge from physics without an inherent design blueprint, a new approach to understanding and quantifying selection is necessary 3–5 . We present assembly theory (AT) as a framework that does not alter the laws of physics, but redefines the concept of an ‘object’ on which these laws act. AT conceptualizes objects not as point particles, but as entities defined by their possible formation histories. This allows objects to show evidence of selection, within well-defined boundaries of individuals or selected units. We introduce a measure called assembly ( A ), capturing the degree of causation required to produce a given ensemble of objects. This approach enables us to incorporate novelty generation and selection into the physics of complex objects. It explains how these objects can be characterized through a forward dynamical process considering their assembly. By reimagining the concept of matter within assembly spaces, AT provides a powerful interface between physics and biology. It discloses a new aspect of physics emerging at the chemical scale, whereby history and causal contingency influence what exists.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The logic of assembly spaces may lead to certain types of universal convergence.
“These shape evolution and shift the way one should think about sequence search conditioned on the past, where the logic of assembly spaces may lead to certain types of universal convergence [56].”
From Fundamental constraints to the logic of living systems (2024) · cites this paper as [56]
In “Selection within assembly spaces” (page unavailable), the paper says selection and historical contingency constrain what can be made in the future, supporting the idea that assembly-space logic shapes evolutionary possibilities. “The assembly equation” describes shared assembly pathways, but the copy does not say that those constraints may produce universal convergence; that part remains unsupported. (LLM, conf=0.78)
Experimental — accuracy not yet measuredEntities within evolutionary systems emerge within assembly spaces and are constructed from components over evolutionary timescales.
“Entities within the system emerge within assembly spaces [2,55,56]. They are constructed from components over evolutionary timescales.”
From Fundamental constraints to the logic of living systems (2024) · cites this paper as [56]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Mechanisms of Maintenance of Species Diversity
Chesson, P. (2000) · Annual Review of Ecology and Systematics · doi:10.1146/annurev.ecolsys.31.1.343 · Cited by 6,645
Computational Complexity: A Modern Approach
Arora, S., & Barak, B. (2009) · doi:10.1017/cbo9780511804090 · Cited by 1,690
Synthesis of Carbohydrates in Mineral-Guided Prebiotic Cycles
Kim, H.-J., Ricardo, A., Illangkoon, H. I., Kim, M. J., Carrigan, M. A., Frye, F., & Benner, S. A. (2011) · Journal of the American Chemical Society · doi:10.1021/ja201769f · Cited by 268
Identifying molecules as biosignatures with assembly theory and mass spectrometry
Marshall, S. M., Mathis, C., Carrick, E., Keenan, G., Cooper, G. J. T., Graham, H., Craven, M., Gromski, P. S., Moore, D. G., Walker, S. I., et al. (2021) · Nature Communications · doi:10.1038/s41467-021-23258-x · Cited by 168
Self-citation
Flagged first, then by citations
Research works printed but not linked: 23
- Kauffman, S. A. The Origins of Order: Self-organization and Selection in Evolution (Oxford Univ. Press, 1993). · DOI
- Gregory, T. R. Understanding natural selection: essential concepts and common misconceptions. Evol. Educ. Outreach 2, 156–175 (2009). · DOI
- Frank, S. A. & Fox, G. A. in The Theory of Evolution (eds Scheiner, S. M. & Mindell D. P.) 171–193 (Univ. of Chicago Press, 2020). · DOI
- Carroll, S. B. Chance and necessity: the evolution of morphological complexity and diversity. Nature 409, 1102–1109 (2001). · DOI
- Cross, M. C. & Hohenberg, P. C. Pattern formation outside of equilibrium. Rev. Mod. Phys. 65, 851–1112 (1993). · DOI · Paper page
- Tilman, D. Resource Competition and Community Structure. (MPB-17) Vol. 17 (Princeton Univ. Press, 2020). · DOI
- Elena, S. F., Cooper, V. S. & Lenski, R. E. Punctuated evolution caused by selection of rare beneficial mutations. Science 272, 1802–1804 (1996). · DOI
- Lutz, E. Power-law tail distributions and nonergodicity. Phys. Rev. Lett. 93, 190602 (2004). · DOI
- Cortês, M., Kauffman, S. A., Liddle, A. R. & Smolin, L. The TAP equation: evaluating combinatorial innovation in biocosmology. Preprint at http://arxiv.org/abs/2204.14115 (2023). · arXiv
- Fontana, W. & Buss, L. W. in Boundaries and Barriers (eds Casti, J. & Karlqvist, A.) 56–116 (Addison-Wesley, 1996).
- Marshall, S. M., Murray, A. R. G. & Cronin, L. A probabilistic framework for identifying biosignatures using Pathway Complexity. Philos. Trans. R. Soc. Math. Phys. Eng. Sci. 375, 20160342 (2017).
- Marshall, S. M., Moore, D. G., Murray, A. R. G., Walker, S. I. & Cronin, L. Formalising the pathways to life using assembly spaces. Entropy 24, 884 (2022). · DOI
- Liu, Y. et al. Exploring and mapping chemical space with molecular assembly trees. Sci. Adv. 7, eabj2465 (2021). · DOI
- Ellis, G. F. R. Top-down causation and emergence: some comments on mechanisms. Interface Focus 2, 126–140 (2012). · DOI
- Koskinen, R. Multiple realizability as a design heuristic in biological engineering. Eur. J. Philos. Sci. 9, 15 (2019). · DOI
- Wallace, C. S. Minimum message length and Kolmogorov complexity. Comput. J. 42, 270–283 (1999). · DOI
- Bennett, C. H. in The Universal Turing Machine: A Half Century Survey (ed. Herken, R.) 227–257 (Oxford Univ. Press, 1988).
- Deutsch, D. & Marletto, C. Constructor theory of information. Proc. R. Soc. Math. Phys. Eng. Sci. 471, 20140540 (2015).
- Marletto, C. Constructor theory of life. J. R. Soc. Interface 12, 20141226 (2015). · DOI
- Lewontin, R. C. The units of selection. Annu. Rev. Ecol. Syst. 1, 1–18 (1970). · DOI
- Beasley, J. R. & Hecht, M. H. Protein design: the choice of de novo sequences. J. Biol. Chem. 272, 2031–2034 (1997). · DOI
- Asche, S., Cooper, G. J. T., Mathis, C. & Cronin, L. A robotic prebiotic chemist probes long term reactions of complexifying mixtures. Nat. Commun. 12, 3547 (2021). · DOI
- Jirasek, M. et al. Multimodal techniques for detecting alien life using assembly theory and spectroscopy. Preprint at https://doi.org/10.48550/ARXIV.2302.13753 (2023). · DOI
Cited by
Sorted by citations
Fundamental constraints to the logic of living systems
Solé, R., Kempes, C. P., Corominas-Murtra, B., De Domenico, M., Kolchinsky, A., Lachmann, M., Libby, E., Saavedra, S., Smith, E., & Wolpert, D. (2024) · Interface Focus · doi:10.1098/rsfs.2024.0010 · Cited by 34
“Entities within the system emerge within assembly spaces [2,55,56].”
BackgroundSelf-citationTowards violations of Local Friendliness with quantum computers
Zeng, W. J., Labib, F., & Russo, V. (2025) · Quantum · doi:10.22331/q-2025-09-05-1851
“The remaining nodes [46, 47, 48, 49, 50, 51, 52, 37, 33, 32, 31] (highlighted in yellow)represent the size of Charlie’s system for progressively higher qubit systems.”
Metadata
- Authors
- Sharma, A., Czégel, D., Lachmann, M., Kempes, C. P., Walker, S. I., & Cronin, L.
- Affiliations
- University of Glasgow (GB)
- HUN-REN Centre for Ecological Research (HU)
- Santa Fe Institute (US)
- Arizona State University (US)
- Corresponding author
- Walker, Sara I.
- Cronin, Leroy
- ORCID
- Venue
- Nature
- Published
- 2023-10-04
- Volume
- 622
- Issue
- 7982
- Pages
- 321-328
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- PMC
- PMC10567559
- OpenAlex
- W4387332482
- Cited by
- 184
- References
- 4
- Citations by year
- 2026: 55 · 2025: 64 · 2024: 58 · 2023: 7
- FWCI
- 165.92
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Locations
- Nature (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam) (acceptedVersion, cc-by-sa)
- RePEc: Research Papers in Economics (submittedVersion)
- Funders
- National Aeronautics and Space Administration (80NSSC18K1140)
- John Templeton Foundation (62231, 61184)
- Arizona State University
- Breakthrough Prize Foundation
- University of Glasgow
- Nuclear Safety and Security Commission
- Engineering and Physical Sciences Research Council (EP/S019472/1, EP/R01308X/1, EP/P00153X/1, EP/L023652/1)
- H2020 European Research Council (670467)
- Topics
- Social Sciences › Arts and Humanities › History and Philosophy of Science › Philosophy of Biology and Scientific Explanation
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Complex Systems and Dynamics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
- Keywords
- assembly theory, selection, evolution, formation history, novelty generation, origin of life, complex objects, open-ended evolution
- MeSH terms
- Origin of Life, Animals, Cultural Evolution, Biological Evolution, Humans, Models, Theoretical, Physics, Selection, Genetic, Inventions
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review