Skip to main content
Log in

Intuitionist Physics

  • Published:
Foundations of Physics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Gisin, N.: Mathematical languages shape our understanding of time in physics. Nat. Phys. (2020). https://doi.org/10.1038/s41567-019-0748-5

  2. 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

  3. Binder, P.-M., Ellis, G.F.R.: Nature, computation and complexity. Phys. Scripta (2016). https://doi.org/10.1088/0031-8949/91/6/064004

  4. Kari, L., Rozenberg, G.: The many facets of natural computing. Commun. ACM (2008). https://doi.org/10.1145/1400181.1400200

  5. 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

  6. Binder, P.-M., Cuéllar, M.C.: Chaos and experimental resolution. Phys. Rev. E (2000). https://doi.org/10.1103/PhysRevE.61.3685

  7. 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

  8. 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

  9. Binder, P.-M., Okamoto, N.H.: Unstable periodic orbits and discretization cycles. Phys. Rev. E (2003). https://doi.org/10.1103/PhysRevE.68.046206

  10. 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

  11. Wolfram, S.: Origins of randomness in physical systems. Phys. Rev. Lett. (1985). https://doi.org/10.1103/PhysRevLett.55.449

  12. 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

  13. Binder, P.-M., Pipes, R.M.: How chaos forgets and remembers. Nature (2014). https://doi.org/10.1038/510343a

  14. Cushing, J.M., Costantino, R.F., Dennis, B., Desharnais, R., Henson, S.M.: Chaos in Ecology. Academic Press, New York (2002)

    MATH  Google Scholar 

  15. Evans, D.J., Searles, D.J.: The fluctuation theorem. Adv. Phys. (2002). https://doi.org/10.1080/00018730210155133

  16. Zuse, K.: Calculating Space. MIT Technical Translation AZT-70-164-GEMIT (1970). Translated from the 1967 report Rechnender Raum

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P.-M. Binder.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Binder, PM. Intuitionist Physics. Found Phys 50, 1411–1417 (2020). https://doi.org/10.1007/s10701-020-00365-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10701-020-00365-1

Keywords

Navigation