What if the underlaying dynamic is continuous/analog, while any information that can be extracted is, by definition, discrete/digital?

Consider time; As mobile organisms, we experience reality as a sequence of perceptions, in order to navigate, so our concept of time is the point of the present, moving past to future, while the reality is that change turns future to past. Tomorrow becomes yesterday, because the earth turns.

There is no actual dimension of time, because the past is consumed by the present, to inform and drive it. Causality and conservation of energy. Cause becomes effect.

Energy is "conserved," because it is the present, creating time, as well as temperature, pressure, color and sound. Time is frequency, events are amplitude.

So the energy, as dynamic process and present, goes past to future, while the patterns generated go future to past.

Now consider this in terms of a wave; The energy drives it, while the fluctuations rise and fall. As the energy moves, the forms being manifest fall back to equilibrium.

So as these biological organisms, we have the digestive, respiratory and circulatory systems processing the energy driving us on, while the central nervous systems sorts the information precipitating out. Signals from the noise.

Though we tend to lose sight of the fact it is only our particular point of view that determines what is signal and what is noise, as both are expressions of the energy. In fact, as anyone trying to navigate information knows, excess signal reverts to noise.

Our brains simply do not process a continuum. Like our eyesight works like a movie camera, extracting images from the light, or it would be whiteout.

So the problem goes back to our own mental functioning and what it is designed for.

When we are dealing with temperature and pressure, it is more our emotions and instincts that come to the fore. We feel the wave building and receding, even if the clarity of frequency and amplitude evident in the cresting isn't there.

Ideal gas laws correlate volume with temperature and pressure, but we don't consider them dimensions of space.

Even consciousness goes past to future, while the perceptions, emotions and thoughts giving it form and structure go future to past.