Abstract
Abstract
Do scientific theories limit human knowledge? In other words, are there physical variables hidden by essence forever? We argue for negative answers and illustrate our point on chaotic classical dynamical systems. We emphasize parallels with quantum theory and conclude that the common real numbers are, de facto, the hidden variables of classical physics. Consequently, real numbers should not be considered as “physically real” and classical mechanics, like quantum physics, is indeterministic.
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Atomic and Molecular Physics, and Optics
Reference16 articles.
1. Gisin, N.: Indeterminism in physics, classical chaos and Bohmian mechanics. Are real numbers really real?.
arXiv:1803.06824
2. Del Santo, F., Gisin, N.:
arXiv:1909.03697
3. Posy, C.J.: Varieties of indeterminism in the theory of general choice sequences. J. Philos. Logic 5, 91–132 (1976)
4. Gisin, N.: Indeterministic physics and intuitionistic mathematics. Erkenntnis (2019).
https://doi.org/10.1007/s10670-019-00165-8
5. Kreisel, G.: Lawless sequences of natural numbers. Compos. Math. 20, 222–248 (1968)
Cited by
11 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献