maverickronin, right. Well, at least matter and energy are quantized, for sure. Space and time quantization possibly at the Planck scale or below. That is why I put "infinitely" divisible in quotes. Infinity, as the interesting Wikipedia page you linked shows, is a logical and mathematical construct. To clarify "analog", I was using the term "analog" not as a distinction between continuous matter (which does not exist) and quantized matter. I was using the term analog to distinguish representation of the signal as a "continuous" trace in a medium versus digital representation obtained by quantization of the signal to binary at a much grosser scale than atomic or molecular.
The quantum or classical geometry and dynamical interactions imperfections give rise to inhomogeneities and randomness at a grosser scale than individual atoms and molecules (crystal lattice defects per cubic mm, etc.) so numerous we can only estimate them using mathematical methods of statistical and condensed matter physics. So the vinyl groove geometry has many imperfections due among other factors to the random noise in the master-cutting and vinyl-pressing processes. It does not represent reality exactly, but only in an approximate way, in fact with more error than 16/44.1 digital representation.
Notwithstanding my previous post, I acknowledge the historical importance of vinyl LPs, analog tape, vacuum tubes, etc. They were revolutionary, served humanity for decades, and enabled tens or perhaps hundreds of millions of people to enjoy much music that they (me included) would not have otherwise been able to during those times. The inventions of sound and image recording and reproduction technologies greatly impacted human life and culture.
