Operative Definitions of Memory in Circuits
I think you are assuming that there must be some sort of formal, mathematically consistent definition of memory.
Consider that a piece of cardboard with holes punched in it is memory. Electrical connections that are either completed or left open are memory. A mechanical switch can be memory.
Memory is whatever engineers find useful to store information. Creating an arbitrary &quot;framework&quot; to define it, or the protocols to access it, would constrain innovation.