ArticleEntropy (Basel, Switzerland)2021
Stochastic Chaos and Markov Blankets.
Article in Entropy (Basel, Switzerland), 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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Who cites it
19 citing papers in PubMed.
- The Free Energy Principle and Free Markets.Entropy (Basel, Switzerland) · 2026Article
- A Rosetta Stone hypothesis for neurophenomenology: mathematical predictions from predictive processing.Neuroscience of consciousness · 2026Article
- Decision, Inference, and Information: Formal Equivalences Under Active Inference.Entropy (Basel, Switzerland) · 2025Review
- Pathfinding: a neurodynamical account of intuition.Communications biology · 2025Review
- Improving the Minimum Free Energy Principle to the Maximum Information Efficiency Principle.Entropy (Basel, Switzerland) · 2025Article
- Thoughtseeds: A Hierarchical and Agentic Framework for Investigating Thought Dynamics in Meditative States.Entropy (Basel, Switzerland) · 2025Article
- From pixels to planning: scale-free active inference.Frontiers in network physiology · 2025Article
- A cortical field theory - dynamics and symmetries.Journal of computational neuroscience · 2024Article
- Phi fluctuates with surprisal: An empirical pre-study for the synthesis of the free energy principle and integrated information theory.PLoS computational biology · 2023Article
- A Variational Synthesis of Evolutionary and Developmental Dynamics.Entropy (Basel, Switzerland) · 2023Article
- On Bayesian mechanics: a physics of and by beliefs.Interface focus · 2023Article
- Global dynamics of neural mass models.PLoS computational biology · 2023Article
- A scale-free universal relational information matrix (N-space) reconciles the information problem: N-space as the fabric of reality.Communicative & integrative biology · 2023Article
- Pseudo and resistant hypertension: A chaotic perspective.Journal of clinical hypertension (Greenwich, Conn.) · 2022Review
- How particular is the physics of the free energy principle?Physics of life reviews · 2022Review
- Enactive-Dynamic Social Cognition and Active Inference.Frontiers in psychology · 2022Article
- The constrained disorder principle defines living organisms and provides a method for correcting disturbed biological systems.Computational and structural biotechnology journal · 2022Article
- Bayesian mechanics for stationary processes.Proceedings. Mathematical, physical, and engineering sciences · 2021Article
- Memory and Markov Blankets.Entropy (Basel, Switzerland) · 2021Article
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5 authors.
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Abstract
In this treatment of random dynamical systems, we consider the existence-and identification-of conditional independencies at nonequilibrium steady-state. These independencies underwrite a particular partition of states, in which internal states are statistically secluded from external states by blanket states. The existence of such partitions has interesting implications for the information geometry of internal states. In brief, this geometry can be read as a physics of sentience, where internal states look as if they are inferring external states. However, the existence of such partitions-and the functional form of the underlying densities-have yet to be established. Here, using the Lorenz system as the basis of stochastic chaos, we leverage the Helmholtz decomposition-and polynomial expansions-to parameterise the steady-state density in terms of surprisal or self-information. We then show how Markov blankets can be identified-using the accompanying Hessian-to characterise the coupling between internal and external states in terms of a generalised synchrony or synchronisation of chaos. We conclude by suggesting that this kind of synchronisation may provide a mathematical basis for an elemental form of (autonomous or active) sentience in biology.
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