Real numbers are the hidden variables of classical mechanics

@article{Gisin2019RealNA,
  title={Real numbers are the hidden variables of classical mechanics},
  author={N. Gisin},
  journal={Quantum Studies: Mathematics and Foundations},
  year={2019},
  volume={7},
  pages={197-201}
}
  • N. Gisin
  • Published 2019
  • Physics, Computer Science, Mathematics
  • Quantum Studies: Mathematics and Foundations
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. 
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