> To me, consciousness is the collection of electrochemical signals traveling throughout the brain

This is unfortunately not a definition of consciousness, rather an hypothesis about the cause or origin of it. Consciousness is an experience, as you mention in your next sentence:

> I also believe in brains that have more than one consciousness, as I've personally experienced a similar thing before

This is what makes it so tricky. My only definition of consciousness is pretty much "I know it when I see it", with the annoying caveat that I cannot see any other experience than my own...