Physics of Biology

    

Systems of State-Set Permutated Replicators Walking Ergodically and Non-Ergodically in Permutation Space

Authors: Perry W. Swanborough

In this paper I describe collections of state-set permutated Byl replicators replicating under common state-transition functions as systems of replicators, and show that systems can be walked through a permutation space by replacement or deletion and addition of system members. By doing this, a process of homochiral replication systems exploring an "adjacent possible" is modelled. Ergodicity corresponds to the maximum possible number of replacements in a system at some or all steps, but assuming gradualism of system change by limiting the number of changes in each step to the minimum possible, walks within the comprehensive permutation space become restricted in range.

Comments: 14 Pages.

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[v1] 2023-04-09 10:11:23

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