IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v42y2009i1p534-537.html
   My bibliography  Save this article

Implications of the disagreement between newtonian and relativistic low-speed trajectories

Author

Listed:
  • Lan, Boon Leong

Abstract

It was shown recently for a chaotic and a nonchaotic slow-moving dynamical system that the Newtonian and special relativistic trajectories eventually disagree completely. Here, it is argued that once the Newtonian trajectory is completely different from the relativistic trajectory, Newtonian mechanics can no longer be used to study the trajectory of the slow-moving system. Special relativistic mechanics must be used instead. For a nonchaotic system, Newtonian mechanics can still be used for a very long time. However, for a strongly chaotic system, Newtonian mechanics cannot be used essentially from the outset.

Suggested Citation

  • Lan, Boon Leong, 2009. "Implications of the disagreement between newtonian and relativistic low-speed trajectories," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 534-537.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:534-537
    DOI: 10.1016/j.chaos.2009.01.021
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077909000228
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2009.01.021?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Shiuan-Ni Liang & Boon Leong Lan, 2012. "Statistical Predictions for the Dynamics of a Low-Speed System: Newtonian versus Special-Relativistic Mechanics," PLOS ONE, Public Library of Science, vol. 7(5), pages 1-12, May.
    2. Shiuan-Ni Liang & Boon Leong Lan, 2012. "Comparison of Newtonian and Special-Relativistic Trajectories with the General-Relativistic Trajectory for a Low-Speed Weak-Gravity System," PLOS ONE, Public Library of Science, vol. 7(4), pages 1-11, April.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:534-537. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.