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A formal approach to the molecular fuzzy lock-and-key
The fuzzy lock-and-key (FLK) powers a vast array of sophisticated logic gates at inter- and intra-cellular levels. We invoke representations of groupoid tiling wreath products analogous to the study of nonrigid molecules - or of related fuzzy symmetry extensions - to build a Morse Function that can describe spontaneous symmetry breaking phase transitions driven by information catalysis. The Function can, however, also be used to construct an Onsager-like stochastic dynamics, linked to the phasedoi:10.7287/peerj.preprints.20v2 fatcat:ajf7bsk63bbefkacr3w4tvtpry