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The free energy principle is a mathematical theory of the behaviour of self-organising systems that originally gained prominence as a unified model of the brain. Since then, the theory has been applied to a plethora of biological phenomena, extending from single-celled and multicellular organisms through to niche construction and human culture, and even the emergence of life itself. The free energy principle tells us that perception and action operate synergistically to minimize an organism’s exposure to surprising biological states, which are more likely to lead to decay. A key corollary of this hypothesis is active inference—the idea that all behavior involves the selective sampling of sensory data so that we experience what we expect to (in order to avoid surprises). Simply put, we act upon the world to fulfill our expectations. It is now widely recognized that the implications of the free energy principle for our understanding of the human mind and behavior are far-reaching and profound. To date, however, its capacity to extend beyond our brain—to more generally explain living and other complex adaptive systems—has only just begun to be explored. The aim of this collection is to showcase the breadth of the free energy principle as a unified theory of complex adaptive systems—conscious, social, living, or not.

Information technology industries --- Computer science --- message passing --- metabolism --- Bayesian --- stochastic --- non-equilibrium --- master equations --- cancer niches --- free energy --- Kikuchi approximations --- apoptosis --- metastasis --- cluster variation method --- Free Energy Principle --- active inference --- Bayesian brain --- generative models --- cybernetics --- embodiment --- enactivism --- cognitivism --- representations --- consciousness --- free will --- mental causation --- cognitive-affective development --- emotions --- feelings --- readiness potentials --- intentionality --- agency --- intelligence --- collective intelligence --- free energy principle --- agent-based model --- complex adaptive systems --- multiscale systems --- computational model --- uncertainty --- POMDP --- emotion --- affect control theory --- sociology --- permutation entropy --- disorder --- stress --- allostatic (hub) overload --- cascading failure --- disease --- hierarchical control systems --- critical slowing down --- model-based control --- adaptive robots --- generative model --- Bayesian inference --- filtering --- neurotechnology --- n/a

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The free energy principle is a mathematical theory of the behaviour of self-organising systems that originally gained prominence as a unified model of the brain. Since then, the theory has been applied to a plethora of biological phenomena, extending from single-celled and multicellular organisms through to niche construction and human culture, and even the emergence of life itself. The free energy principle tells us that perception and action operate synergistically to minimize an organism’s exposure to surprising biological states, which are more likely to lead to decay. A key corollary of this hypothesis is active inference—the idea that all behavior involves the selective sampling of sensory data so that we experience what we expect to (in order to avoid surprises). Simply put, we act upon the world to fulfill our expectations. It is now widely recognized that the implications of the free energy principle for our understanding of the human mind and behavior are far-reaching and profound. To date, however, its capacity to extend beyond our brain—to more generally explain living and other complex adaptive systems—has only just begun to be explored. The aim of this collection is to showcase the breadth of the free energy principle as a unified theory of complex adaptive systems—conscious, social, living, or not.

Information technology industries --- Computer science --- message passing --- metabolism --- Bayesian --- stochastic --- non-equilibrium --- master equations --- cancer niches --- free energy --- Kikuchi approximations --- apoptosis --- metastasis --- cluster variation method --- Free Energy Principle --- active inference --- Bayesian brain --- generative models --- cybernetics --- embodiment --- enactivism --- cognitivism --- representations --- consciousness --- free will --- mental causation --- cognitive-affective development --- emotions --- feelings --- readiness potentials --- intentionality --- agency --- intelligence --- collective intelligence --- free energy principle --- agent-based model --- complex adaptive systems --- multiscale systems --- computational model --- uncertainty --- POMDP --- emotion --- affect control theory --- sociology --- permutation entropy --- disorder --- stress --- allostatic (hub) overload --- cascading failure --- disease --- hierarchical control systems --- critical slowing down --- model-based control --- adaptive robots --- generative model --- Bayesian inference --- filtering --- neurotechnology --- message passing --- metabolism --- Bayesian --- stochastic --- non-equilibrium --- master equations --- cancer niches --- free energy --- Kikuchi approximations --- apoptosis --- metastasis --- cluster variation method --- Free Energy Principle --- active inference --- Bayesian brain --- generative models --- cybernetics --- embodiment --- enactivism --- cognitivism --- representations --- consciousness --- free will --- mental causation --- cognitive-affective development --- emotions --- feelings --- readiness potentials --- intentionality --- agency --- intelligence --- collective intelligence --- free energy principle --- agent-based model --- complex adaptive systems --- multiscale systems --- computational model --- uncertainty --- POMDP --- emotion --- affect control theory --- sociology --- permutation entropy --- disorder --- stress --- allostatic (hub) overload --- cascading failure --- disease --- hierarchical control systems --- critical slowing down --- model-based control --- adaptive robots --- generative model --- Bayesian inference --- filtering --- neurotechnology

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Our Special Issue we publish at a turning point, which we have not dealt with since World War II. The interconnected long-term global shocks such as the coronavirus pandemic, the war in Ukraine, and catastrophic climate change have imposed significant humanitary, socio-economic, political, and environmental restrictions on the globalization process and all aspects of economic and social life including the existence of individual people. The planet is trapped—the current situation seems to be the prelude to an apocalypse whose long-term effects we will have for decades. Therefore, it urgently requires a concept of the planet's survival to be built—only on this basis can the conditions for its development be created. The Special Issue gives evidence of the state of econophysics before the current situation. Therefore, it can provide excellent econophysics or an inter-and cross-disciplinary starting point of a rational approach to a new era.

Research & information: general --- Mathematics & science --- energy --- economic growth --- output elasticities --- entropy production --- emissions --- optimization --- speculative attacks --- currency crisis --- neural networks --- deep learning --- Quantum-Inspired Neural Network --- traveling salesman problem --- simulated annealing technique --- kinetic exchange model --- Gini index --- Kolkata index --- minority game --- Kolkata Paise Restaurant problem --- time series analysis --- cross-correlations --- power law classification scheme --- network analysis --- globalisation --- entropy --- portfolio optimization --- regularization --- renormalization --- econophysics --- highway freight transportation --- radiation model --- transportation network --- network diversity --- power law --- economic development --- decision-making --- bounded rationality --- complexity economics --- information-theory --- maximum entropy principle --- quantal response statistical equilibrium --- correlation coefficient --- detrended cross-correlation analysis --- COVID-19 --- mobility indices --- random geometry --- risk measurement --- disordered systems --- replica theory --- return distributions --- power-law tails --- stretched exponentials --- q-Gaussians --- financial markets --- financial complexity --- collective intelligence --- emergent property --- stock correlation --- lexical evolution of econophysics --- text as data --- correspondence analysis --- long-range memory --- 1/f noise --- absolute value estimator --- anomalous diffusion --- ARFIMA --- first-passage times --- fractional Lèvy stable motion --- Higuchi's method --- mean squared displacement --- multiplicative point process --- correlation filtering --- minimal spanning tree --- planar maximally filtered graph --- topological data analysis --- SGX --- TAIEX --- complex systems --- ecological economics --- urban-regional economics --- income distribution --- financial market dynamics --- income tax --- tax deduction --- income redistribution --- government transfer --- government dependency --- poverty line --- basic income guarantee --- effective tax rate --- balanced budget --- elastic tax --- Cantor set --- fractals --- homeomorphism --- detrended fluctuation analysis --- Hurst exponent --- continuous time random walk --- intertrade times --- volatility clustering --- local transfer entropy --- long-short-term-memory --- Bitcoin --- cryptocurrencies --- multiscale analysis --- detrended cross-correlations --- covariance matrices --- copulas --- high-frequency trading --- market stability --- agent-based models --- structural entropy --- Economic Freedom of the World index --- Index of Economic Freedom --- rank-size law technique --- power law behaviour --- exponential behaviour --- multiscale partition function --- multifractal analysis --- company market --- export readiness --- internationalization --- options pricing --- mortality --- companies --- start-up --- FTSE100 --- Gompertz --- MinMax --- survival probability distribution --- high-frequency trader --- multivariate Hawkes process --- forex market --- wealth distribution --- kinetic models --- wealth inequalities --- compartmental epidemic modelling --- vaccination campaign --- flash crash --- systemic risk --- financial networks --- high frequency trading --- market microstructure --- phase transition --- criticality --- dynamics of complex networks --- cascading failure --- network science --- economic complexity --- relatedness --- products and services --- planar graph --- partial correlation --- discounting --- bond pricing --- real interest rates --- calendar anomalies --- day-of-the-week effect --- market indices --- multifractal detrended fluctuation analysis --- energy --- economic growth --- output elasticities --- entropy production --- emissions --- optimization --- speculative attacks --- currency crisis --- neural networks --- deep learning --- Quantum-Inspired Neural Network --- traveling salesman problem --- simulated annealing technique --- kinetic exchange model --- Gini index --- Kolkata index --- minority game --- Kolkata Paise Restaurant problem --- time series analysis --- cross-correlations --- power law classification scheme --- network analysis --- globalisation --- entropy --- portfolio optimization --- regularization --- renormalization --- econophysics --- highway freight transportation --- radiation model --- transportation network --- network diversity --- power law --- economic development --- decision-making --- bounded rationality --- complexity economics --- information-theory --- maximum entropy principle --- quantal response statistical equilibrium --- correlation coefficient --- detrended cross-correlation analysis --- COVID-19 --- mobility indices --- random geometry --- risk measurement --- disordered systems --- replica theory --- return distributions --- power-law tails --- stretched exponentials --- q-Gaussians --- financial markets --- financial complexity --- collective intelligence --- emergent property --- stock correlation --- lexical evolution of econophysics --- text as data --- correspondence analysis --- long-range memory --- 1/f noise --- absolute value estimator --- anomalous diffusion --- ARFIMA --- first-passage times --- fractional Lèvy stable motion --- Higuchi's method --- mean squared displacement --- multiplicative point process --- correlation filtering --- minimal spanning tree --- planar maximally filtered graph --- topological data analysis --- SGX --- TAIEX --- complex systems --- ecological economics --- urban-regional economics --- income distribution --- financial market dynamics --- income tax --- tax deduction --- income redistribution --- government transfer --- government dependency --- poverty line --- basic income guarantee --- effective tax rate --- balanced budget --- elastic tax --- Cantor set --- fractals --- homeomorphism --- detrended fluctuation analysis --- Hurst exponent --- continuous time random walk --- intertrade times --- volatility clustering --- local transfer entropy --- long-short-term-memory --- Bitcoin --- cryptocurrencies --- multiscale analysis --- detrended cross-correlations --- covariance matrices --- copulas --- high-frequency trading --- market stability --- agent-based models --- structural entropy --- Economic Freedom of the World index --- Index of Economic Freedom --- rank-size law technique --- power law behaviour --- exponential behaviour --- multiscale partition function --- multifractal analysis --- company market --- export readiness --- internationalization --- options pricing --- mortality --- companies --- start-up --- FTSE100 --- Gompertz --- MinMax --- survival probability distribution --- high-frequency trader --- multivariate Hawkes process --- forex market --- wealth distribution --- kinetic models --- wealth inequalities --- compartmental epidemic modelling --- vaccination campaign --- flash crash --- systemic risk --- financial networks --- high frequency trading --- market microstructure --- phase transition --- criticality --- dynamics of complex networks --- cascading failure --- network science --- economic complexity --- relatedness --- products and services --- planar graph --- partial correlation --- discounting --- bond pricing --- real interest rates --- calendar anomalies --- day-of-the-week effect --- market indices --- multifractal detrended fluctuation analysis