Physics of Biology

    

Systems of State Set-Permutated Langton Cellular Automata Replicators Compared with Systems of Byl Replicators

Authors: Perry W. Swanborough

Methods applied to the Byl cellular automata (CA) replicator (1989) which demonstrated strict homochirality and functional heterochirality of replication were applied to the earlier Langton CA replicator (1984). Langton replicators varying by state set permutations group into systems of two members each, replicating under a single system-specific cell state transition function. Notably, the Langton systems are smaller than the homochiral Byl replicator systems of three or four members. There are fundamentally two Langton systems distinguishable by the non-existence of permutation transforms which interconvert either one to the other, so in one sense there is non-trivial state-set permutation variation in the set of permutated Langton systems that does not exist in the set of permutated Byl systems.

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[v1] 2023-06-24 08:11:42

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