Things to look for that very likely exist in a brain and are rarely discussed by neuroscientists: speculative code execution, mutexes. Things (somewhat) known by other names: reward integration, ping/ack cycles, polymorphism
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Do quaternions "exist" in brains?
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If you want to efficiently rotate an object in 3space (which our brains clearly do), quaternions are your best bet, so yes, I guess they exist as parameters to learned cortical neural circuits that rotate object geometries.
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