Any normal person is able to remember, in any given moment, the "experience" (in a very broad sense - meaning cognitive and emotional processes) it had in its recent past (modulo memory limitations caused by various factors). Wouldn't that imply that there is a single consciousness inside each brain? i.e a single "state machine"?
Multiple consciousnesses can have the same experience in parallel. Experiments with a split brain patients shows that they probably have two personalities concurrently.
a thread of experience = a consciousness yes, but you'd have no consciousness of any other such threads of experience that may be instantiated by your brain
