From my superficial knowledge I would assume that mutex-like synchronization is performed by the mechanisms that control phase and frequency of neural oscillation, employing effects like resonance, harmonics, interference and delayed feedback of activity waves between columns.
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But how?
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I think that for compositional structure and multiple occurrence of features, we may need multiple instantiation of substructures. There are also perceptual and actuator bottlenecks that may require wait states and blocking.
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I think one fundamental difference with biological brains and current computing architectures is that the latter have only one clock (or atleast a master clock), whereas the clock mechanisms in the former are distributed. So the mutex problem may be solved in a different space.
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DNA has it's own synchronization mechanism https://m.phys.org/news/2018-01-mutational-timer-built-chemistry-dna.html …
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