Okay. Now I know you're trying to send me into a Google black hole. I wasted 5 years of part time study on this stuff only to figure out that I don't have enough background in Mathematics to really play with this stuff. So please save me the time and tell me when the layman's version comes out.
By the way since we have people interested in physics. Why is matter quantized but time is continuous? I've always wondered.
Wave-particle duality.
To localize a particle, you combine many waves of different frequencies so that the 'superposition' of the waves (wave packet) describes the position and/or velocity of the particle.
But there is a price.
Think Fourier transforms: the more precise you get concerning one attribute, the less you get about the corresponding attribute.
Time, on the other hand, is not subject to wave-particle duality.
Cheers!
Is it? There is the theory, traditional, good enough, but if math is a problem try philosophy. In particular Husserl. I would recommend Whitehead but there is nothing in English.
Maybe time is more contiguous than continuous. Not moving, just re-appearing in a neighboring slice of Planck time like the procession of images on a 35mm film strip and the phenomena of after-images creating the illusion of continuous, smooth motion. Does that make sense?