I searched for an answer to this question on Google but just found articles that mention either string theory or a 5th dimension in passing (such as Maxwell equations as they relate to Riemann curvature tensor.)
I stumped myself while driving to school today thinking about this... We can explain an objects position in the universe by describing its spacial and time locations, such as at 2nd and 3rd street on the fifth floor at 10:00am
But is that enough to fully describe an object when you take into account Schrödinger's cat? For example, what if, Schrödinger's cat is the object that is at that location and time. It seems like you would have to have a 5th state dimension to fully explain its position, as in at 2nd and 3rd street on the fifth floor at 10:00am with a probability of .5
It seems like if we had state as an additional dimension it would help explain things like quantum entanglement as the particles could be moving away from each other in space-time but standing still in state.
Am I merely relating things that have no business being related, or is there a connection between state and dimension?