Abstract
We extend the phase transition model of the previous chapters in a way that generalizes the Kadanoff/Wilson picture of analogous dynamics in physical systems, leading to estimates of fragment size, with larger fragments having higher probability of survival under selection pressure. A particular aspect is the emergence of a spectrum of possible ‘renormalization symmetries’ in biological and cognitive, as opposed to physical, systems. The model applies to both cognitive and heritage transmission information processes, and, of course, to their ubiquitous composites.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Albert, R., A. Barabasi. 2002. Statistical mechanics of complex networks. Reviews of Modern Physics 74:47–97.
Dolan, B., W. Janke, D. Johnston, and M. Stathakopoulos. 2001. Thin Fisher zeros. Journal of Physics A 34:6211–6223.
Gavrilets, S. 2010. High-dimensional fitness landscapes and speciation. In Evolution: The Extended Synthesis, ed. Massimo Pigliucci and Gerd B. Müller. Cambridge: MIT Press.
Glazebrook, J.F., and Wallace, R. 2009. Rate distortion manifolds as model spaces for cognitive information. Informatica 33:309345.
Khinchin, A. 1957. Mathematical Foundations of Information Theory. New York: Dover.
Newman, M. 2010. Networks: An Introduction. New York: Oxford University Press.
Pettini, M. 2007. Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics. New York: Springer.
Spenser, J. 2010. The giant component: a golden anniversary. Notices of the American Mathematical Society 57:720–724.
Tateishi, A., R. Hanel, and S. Thurner. 2013. The tranformation groupoid structure of the q-Gaussian family. Physics Letters A 377:1804–1809.
Wallace, R. 2005. Consciousness: A Mathematical Treatment of the Global Neuronal Workspace Model. New York: Springer.
Wallace, R. 2015. An Ecosystem Approach to Economic Stabilization. London: Routledge Press.
Wallace, R. 2020. How AI founders on adversarial landscapes of fog and friction. Journal of Defense Modeling and Simulation. https://doi.org/10.1177/1548512920962227
Wallace, R. 2021. Toward a formal theory of embodied cognition. BioSystems 202:104356.
Wallace, R. 2022. Consciousness, Cognition and Crosstalk: The Evolutionary Exaptation of Nonergodic Groupoid Symmetry-Breaking. New York: Springer.
Wilson K. 1971. Renormalization group and critical phenomena. I Renormalization group and the Kadanoff scaling picture. Physics Reviews B 4:317483.
Zurek, W. 1985. Cosmological experiments in superfluid helium? Nature 317:505–508.
Zurek, W. 1996. The shards of broken symmetry. Nature 382:296–298.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Wallace, R. (2023). On ‘Speciation’: Fragment Size in Information System Phase Transitions. In: Essays on the Extended Evolutionary Synthesis. SpringerBriefs in Evolutionary Biology. Springer, Cham. https://doi.org/10.1007/978-3-031-29879-0_6
Download citation
DOI: https://doi.org/10.1007/978-3-031-29879-0_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-29878-3
Online ISBN: 978-3-031-29879-0
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)