Well, this gets a bit heavy and is an area I have only modest familiarity with and not all that much practice. That concept of infinite dimensional meters per

Well, this gets a bit heavy and is an area I have only modest familiarity with and not all that much practice. That concept of infinite dimensional meters per infinite dimensional seconds doesn't work. With infinite dimensions that the whole idea of metrics breaks down. This gets used as a tactic: If you want to present some basic spatial concept without defining and then being bound to a specific metric then you might use infinite dimensional spaces for that since they are free of traditionally considered metrics. This is rather exotic territory. The vast majority of phenomena that people find interesting can be characterized using eight or fewer dimensions.