Interesting thoughts. Notice also that "quantization" is kind of inbuilt into calculus itself, i.e. integral calculus, which could be thought of as quantization with an infinitely high resolution.
But fascinatingly, some sort of quantization seems to be going on in real physical terms: the amount of energy that, say, an oscillator (think of a pendulum) can have is discrete, i.e. only multiples of Planck's constant. Amazingly, this means that if you push a child on a swing, you cannot arbitrarily choose the amount of energy, but there is a discrete "energy grid", or finite "resolution" of energy statuses! Of course, since Planck's constant is so small, we cannot really experience this except in dedicated quantum experiments. What does this mean though? I don't know.
Maybe there is something to the idea that true "analog" systems don't exist really? The Cs said something about an "energy grid" of consciousness:
As for time, as Ark alluded to, without time in our "clock" sense there could be no oscillations/frequencies/vibrations. Depending on wavelength, you need a certain amount of time to even speak of a vibrational cycle or frequency. And then there is information that is supposed to be a "mover and shaker". Maybe the concept of modulation has something to do with it? I.e. as in how we modulate a carrier wave in radio communication (such as FM or AM)? Are "unstable gravity waves" modulated waves and as such carry information? What does all that have to do with time?
Anyway, so many questions, so little answers and understanding, at least for me. But learning is fun!