Because they need to be interacted with and in the most extreme cases you can’t track state changes for mathematically real curves without infinite precision.
So even if you start out with something that can be described using a continuous/wave like function, at the point of interaction it would need to be quantized to a discrete unit so you could track how free agents independent of the determining function might alter it.
Of course, if you want to be memory efficient, you’d also throw away that conversion to discrete units if the information about the interaction was erased, as you no longer still need the conversion to track state changes.
Because they need to be interacted with and in the most extreme cases you can’t track state changes for mathematically real curves without infinite precision.
So even if you start out with something that can be described using a continuous/wave like function, at the point of interaction it would need to be quantized to a discrete unit so you could track how free agents independent of the determining function might alter it.
Of course, if you want to be memory efficient, you’d also throw away that conversion to discrete units if the information about the interaction was erased, as you no longer still need the conversion to track state changes.