/sci/ - Science & Math

>>16047509
Discrete structures are a consequence of human rationality. The world isn't rational. Discrete sctructures are a human cope.

The simulation hypothesis is disproved by free will.

>>16047509
Perhaps

>>16047514
Quantum mechanics is all about discrete packets of stuff though

>>16047520
You could have free will in a simulation. Just make it so each simulated person is making choices based on their own preferences. You could randomly assign preferences too, or assign none and let them choose their own preferences

>>16047565
Not of space. The wave packet is continuous differentiable from -inf to +inf at any point in space and time. Planck's length time is irrelevant and human cope

>>16047631
Well quantum mechanics is just an approximate model of the universe. When we simulate gases we don’t simulate discrete atoms but a ”fluid” body with certain parameters and still get very good results, but the underlying reality is still discrete.

The more we dig, the more things seem discrete and I think this trend will continue ending eventually in discrete space (and time too)

*mic drop*

>>16047509
>If space is found out to be discrete
dunno, seems very loud to me

>>16047631
If our current QFTs are truly fundamental, then spacetime is discrete, for QED this is believed to be around the scale of the landau pole (~10^-70m), but recent simulations suggest it's even larger, for non-perturbative reasons (read this paper a while back it's something under the title 'fermion doubling'). A similar phenomena is suggested to occur in the standard model because of the Higgs field.

A discontinuity of the renormalization group at small distances is indicative of a limit to the spacetime resolution of that theory. General relativity isn't renormalizable, but perturbative quantum gravity is workable at scales larger than Planck. This suggests the universe may be discretized at the Planck scale, which is posited by 'loop quantum gravity', but this is just speculation. Discretization breaks lorentz invariance, which is part of why string theory is so appealing, as it mitigates these problems by positing a continuos substructure to particles at the Planck scale, instead of assuming they're just points.

>>16047509
We know for a fact the universe isn’t discrete because you can’t have the correct chiral anomaly on a lattice. See https://en.wikipedia.org/wiki/Nielsen–Ninomiya_theorem

>>16047578
>You could have free will
>making choices based on