Abstract
A recent proposal to formulate physics in terms of finite-information variables is examined, concentrating on its consequences for classical mechanics. Both shortcomings and promising avenues are discussed.
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Gisin, N.: Mathematical languages shape our understanding of time in physics. Nat. Phys. (2020). https://doi.org/10.1038/s41567-019-0748-5
Gisin, N.: Indeterminism in physics, classical chaos and Bohmian mechanics: Are real numbers really real? Erkenntnis (2019). https://doi.org/10.1007/s10670-019-00165-8
Binder, P.-M., Ellis, G.F.R.: Nature, computation and complexity. Phys. Scripta (2016). https://doi.org/10.1088/0031-8949/91/6/064004
Kari, L., Rozenberg, G.: The many facets of natural computing. Commun. ACM (2008). https://doi.org/10.1145/1400181.1400200
Holman, M.J., Murray, N.W.: Chaos in higher-order mean resonance in the outer asteroid belt. Astron. J. (1996). https://doi.org/10.1086/118098
Binder, P.-M., Cuéllar, M.C.: Chaos and experimental resolution. Phys. Rev. E (2000). https://doi.org/10.1103/PhysRevE.61.3685
Levy, Y.E.: Some remarks about computer studies of dynamical system. Phys. Lett. A (1982). https://doi.org/10.1016/0375-9601(82)90408.-X
Grebogi, C., Ott, E., Yorke, J.A.: Roundoff-induced periodicity and the correlation dimension of chaotic attractors. Phys. Rev. A (1998). https://doi.org/10.1103/PhysRevA.38.3688
Binder, P.-M., Okamoto, N.H.: Unstable periodic orbits and discretization cycles. Phys. Rev. E (2003). https://doi.org/10.1103/PhysRevE.68.046206
Brito, R., Ernst, M.H., Kirkpatrick, T.R.: Staggered diffusivities in lattice-gas cellular automata. J. Stat. Phys. (1991). https://doi.org/10.1007/BF01020871
Wolfram, S.: Origins of randomness in physical systems. Phys. Rev. Lett. (1985). https://doi.org/10.1103/PhysRevLett.55.449
James, R.G., Ellison, C.J., Crutchfield, J.P.: Anatomy of a bit: Information in a time series observation. Chaos (2011). https://doi.org/10.1063/1.3637494
Binder, P.-M., Pipes, R.M.: How chaos forgets and remembers. Nature (2014). https://doi.org/10.1038/510343a
Cushing, J.M., Costantino, R.F., Dennis, B., Desharnais, R., Henson, S.M.: Chaos in Ecology. Academic Press, New York (2002)
Evans, D.J., Searles, D.J.: The fluctuation theorem. Adv. Phys. (2002). https://doi.org/10.1080/00018730210155133
Zuse, K.: Calculating Space. MIT Technical Translation AZT-70-164-GEMIT (1970). Translated from the 1967 report Rechnender Raum
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Binder, PM. Intuitionist Physics. Found Phys 50, 1411–1417 (2020). https://doi.org/10.1007/s10701-020-00365-1
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DOI: https://doi.org/10.1007/s10701-020-00365-1