Skip to main content
SpringerLink
Log in

The Newton and Coulomb laws as information transfer by virtual particles

  • Large Systems
  • Published:
Problems of Information Transmission Aims and scope Submit manuscript

Abstract

In elementary particle physics the philosophy of virtual particles is widely used. We use this philosophy to obtain the famous inverse square law of classical physics. We define a formal model without fields or forces but with a virtual (auxiliary) particle, information carrier. This formal model admits a very simple (school level) interpretation with two classical particles and one virtual. Then we prove (in a mathematically rigorous way) that the trajectories in our model converge to standard Newtonian trajectories of classical physics.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Beardon, A.F., Iteration of Rational Functions: Complex Analytic Dynamical Systems, New York: Springer-Verlag, 1990.

    Google Scholar 

  2. Hall, R.W. and Josić, K., Planetary Motion and the Duality of Force Laws, SIAM Rev., 2000, vol. 42, no. 1, pp. 115–124.

    Article  MathSciNet  MATH  Google Scholar 

  3. Arnol’d, V.I., Gyuigens i Barrou, N’yuton i Guk: pervye shagi matematicheskogo analiza i teorii katastrof, ot evol’vent do kvazikristallov, Moscow: Nauka, 1989. Translated under the title Huygens and Barrow, Newton and Hooke: Pioneers in Mathematical Analysis and Catastrophe Theory from Evolvents to Quasicrystals, Basel; Boston: Birkhaüser, 1990.

    Google Scholar 

  4. Kantor, F.W., Information Mechanics, New York: Wiley, 1977.

    Google Scholar 

  5. ’t Hooft, G., Can There Be Physics without Experiments? Challenges and Pitfalls, Int. J. Mod. Phys. A, 2001, vol. 16, no. 17, pp. 2895–2908.

    Article  MATH  Google Scholar 

  6. Alur, R. and Dill, D.L., A Theory of Timed Automata, Theoret. Comput. Sci., 1994, vol. 126, no. 2, pp. 183–235.

    Article  MathSciNet  MATH  Google Scholar 

  7. Ilachinski, A., Cellular Automata: A Discrete Universe, Singapore; River Edge, NJ: World Sci., 2001.

    Book  MATH  Google Scholar 

  8. Schiff, J.L., Cellular Automata: A Discrete View of the World, Hoboken, NJ: Wiley-Interscience, 2008.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratory of Large Random Systems, Faculty of Mathematics and Mechanics, Lomonosov Moscow State University, Moscow, Russia

    V. A. Malyshev

Authors
  1. V. A. Malyshev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. A. Malyshev.

Additional information

Original Russian Text © V.A. Malyshev, 2016, published in Problemy Peredachi Informatsii, 2016, Vol. 52, No. 3, pp. 117–127.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Malyshev, V.A. The Newton and Coulomb laws as information transfer by virtual particles. Probl Inf Transm 52, 308–318 (2016). https://doi.org/10.1134/S0032946016030091

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0032946016030091

Search

Navigation