The maximal calber method for the evolution models, and infintely complex adaptive system

22 Jan 2026 (modified: 11 Feb 2026)MathAI 2026 Conference SubmissionEveryoneRevisionsBibTeXCC BY 4.0
Keywords: Maximal Caliber method, evolving complexity, ininitely complex adaptive systems
TL;DR: We deduce the Max Cal for evolution, discuss the evolving complexity, the consciousness and AGI
Abstract: We consider the maximal caliber method from chemistry and stochastic thermodynamics, applying it to the evolution. We investigated the Wright Fisher model, described via Fokker-Planck equation, introducing the Maximal Caliber. The active inference model is also described by Fokker Planck equation, so our results can be extended for this case as well. While in Active Inference literature has been discussed the Maximal Caliber method, they did not derive the expression for the Caliber function. We identify the class of infinitely complex adaptive systems (ICAS), including the evolving complexity during the evolution, the consciousness and AGI. We assume a similarity for the main concepts and math tools for the solution of all the members of this universality class.
Submission Number: 5
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