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I think mathematics has problems with continuum, because it tries to describe our analog universe with digital paradigm.
by GoblinSlayer 4y ago
I think mathematics has problems with continuum, because it tries to describe our analog universe with digital paradigm.
- BlueTemplar 4y agoThe claim that the universe is fundamentally analog is on a somewhat shaky ground in postmodern (quantum) physics, especially once you bring (discretized!) information into it, which has to happen quite "soon" if you want to deal with statistically emergent phenomena like temperature.
- GoblinSlayer 4y agoThey quantize because the underlying solution is a circular standing wave, which is stable if it consists of a whole number of periods. The wave itself is of course analog, quantization emerges through many hoops and provides stable states with certain potential well like any stable state, and can squiggle a little under perturbation or squiggle a lot under, say, Zeeman effect.
- BlueTemplar 4y agoCan we really speak of the wave(let) "being" analog when it is impossible (according to our current understanding of physics) to see that experimentally ?
- GoblinSlayer 4y agoThe theory says it's analog and experiments so far agree with the theory. There are continuous phenomena too.