Abstract
The logic of a Boolean system of finite degrees of freedom is shown to be atomic if and only if the system obeys a deterministic theory. This is, therefore, the physical meaning of atomicity. Furthermore, it is proved that nondeterminacy of such a system implies the nonexistence of phase space.
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References
Birkhoff, G. and von Neumann, J. (1936).Annals of Mathematics,37, 823.
Kronfli, N. S. (1970a).International Journal of Theoretical Physics, Vol. 3, No. 3, p. 199.
Kronfli, N. S. (1970b).International Journal of Theoretical Physics, Vol. 3, No. 5, p. 395.
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Kronfli, N.S. Atomicity and determinism in Boolean systems. Int J Theor Phys 4, 141–143 (1971). https://doi.org/10.1007/BF00670389
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DOI: https://doi.org/10.1007/BF00670389