Since high-school physics the concept of Distance has been troubling particularly in regard to waves such as sound, light, heat etc. For instance, the amplitude or intensity of a wave  decreases by the square of the distance or a factor of 4 as the distance from the source is doubled. Or another way is that the intensity of the wave or sound increases by a factor of 4 every time the distance is halved.

consider this graph.

if you are standing 4 units from a speaker the decibel loudness is 64 and at a distance of 8 it is 16 decibels. Likewise at a distance of 2 the loudness is 256 decibels. Seems reasonable, however, if we continue to get closer and closer to the source. And continue to cut our distance in half. At ‘infinity’ we reach the ‘source’ or surface of the speaker. At that point the loudness is infinitely loud. So no matter how soft a noise the speaker makes at the source it will be infinitely loud. So all sounds, light, heat, waves ;if distance can always be cut in half, will be infinite at the Surface of the speaker….. So if distance can always be cut in half all noise,light,heat,waves would be infinitely great when made.

The only answer is that there is a smallest unit of distance. There is a distance which you cannot go beyond in smallness. So when a light bulb emits a light or a speaker makes a sound. The intensity of the sound varies at the first unit of measure and not the surface of the source. So in a sense then the world is not Analog but digital in its origin. Everything you see or touch or experience is digital or in correct parlance Quantum.