Commutation (neurophysiology)

Physiologist Douglas B. Tweed and coworkers have considered whether certain neural circuits in the brain exhibit noncommutativity and state:

In

noncommutative algebra

, order makes a difference to multiplication, so that ${\displaystyle a\times b\neq b\times a}$. This feature is necessary for computing

sensory system

circuits that handle spatial information. This idea is controversial: studies of eye and head control have revealed behaviours that are consistent with non-commutativity in the brain, but none that clearly rules out all commutative models.

Tweed goes on to demonstrate non-commutative computation in the

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