Hypercomputation (halting problem) and Infinite memory/storage
Ascribe either of these to nature, and nature can be deterministic and still, the probability of us discerning its RNG's operations is 0.
This is a good video explaining the different intricacies of how "God's dice" might be constructed:
https://youtu.be/iBHUayT7t6w
Many phenomena thought to have been random due to their quantum nature have been found to be based on their initial conditions instead. See spontaneous emission photon phase for example: https://iopscience.iop.org/article/10.1088/1367-2630/9/11/41...
Hypercomputation (halting problem) and Infinite memory/storage
Ascribe either of these to nature, and nature can be deterministic and still, the probability of us discerning its RNG's operations is 0.
This is a good video explaining the different intricacies of how "God's dice" might be constructed:
https://youtu.be/iBHUayT7t6w
Many phenomena thought to have been random due to their quantum nature have been found to be based on their initial conditions instead. See spontaneous emission photon phase for example: https://iopscience.iop.org/article/10.1088/1367-2630/9/11/41...