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Real Numbers are the Hidden Variables of Classical Mechanics

Gisin, Nicolas (2020) Real Numbers are the Hidden Variables of Classical Mechanics. Quantum Studies: Mathematics and Foundations, 7. pp. 197-201.

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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.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Gisin, NicolasNicolas.Gisin@unige.ch0000-0003-0788-3494
Keywords: hidden variables, real numbers, classical mechanics, chaotic dynamical systems, quantum mechanics
Subjects: Specific Sciences > Mathematics > Foundations
General Issues > Scientific Metaphysics
General Issues > Causation
Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Prof. Nicolas Gisin
Date Deposited: 22 Oct 2020 15:01
Last Modified: 22 Oct 2020 15:01
Item ID: 18304
Journal or Publication Title: Quantum Studies: Mathematics and Foundations
DOI or Unique Handle: https://doi.org/10.1007/s40509-019-00211-8
Subjects: Specific Sciences > Mathematics > Foundations
General Issues > Scientific Metaphysics
General Issues > Causation
Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Quantum Mechanics
Date: 2020
Page Range: pp. 197-201
Volume: 7
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/18304

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