This is true of a particular model of reality, namely classical mechanics, but it seems to be a contentious claim that it’s true of reality itself. AFAIK physicists take the possibility that reality might be discrete fairly seriously.
To my knowledge, it’s true of every model of reality.
There have already been stable time loops in both canon Harry Potter and in Methods. If the universe is discrete, there won’t generally be a stable time loop. It’s not going to take Harry trying to break time to cause a paradox.
The universe is chaotic. Not every aspect is, but that’s not necessary. If you go back in time one way and look at the Brownian motion, and go back with the initial conditions changed by one, the Brownian motion will be completely different. It will basically be random. If you make a random bijection, the probability of there being a fixed point approaches roughly 63% as the domain increases. Thus, if the universe was discrete, and obeyed the law of increasing entropy, then there would only be a working time loop about two thirds of the time even if you didn’t try to prevent one.
This is true of a particular model of reality, namely classical mechanics, but it seems to be a contentious claim that it’s true of reality itself. AFAIK physicists take the possibility that reality might be discrete fairly seriously.
To my knowledge, it’s true of every model of reality.
There have already been stable time loops in both canon Harry Potter and in Methods. If the universe is discrete, there won’t generally be a stable time loop. It’s not going to take Harry trying to break time to cause a paradox.
The universe is chaotic. Not every aspect is, but that’s not necessary. If you go back in time one way and look at the Brownian motion, and go back with the initial conditions changed by one, the Brownian motion will be completely different. It will basically be random. If you make a random bijection, the probability of there being a fixed point approaches roughly 63% as the domain increases. Thus, if the universe was discrete, and obeyed the law of increasing entropy, then there would only be a working time loop about two thirds of the time even if you didn’t try to prevent one.