IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v34y2007i2p224-234.html
   My bibliography  Save this article

Some consequences of spacetime fuzziness

Author

Listed:
  • Nozari, Kourosh
  • Fazlpour, Behnaz

Abstract

Finite resolution of spacetime at Planck scale gives it a fuzzy structure (the so-called foamy or fractal spacetime). This fuzzy structure of spacetime is a consequence of quantum fluctuation of geometry itself and can be described within non-commutative geometry and some alternative approaches to quantum gravity. In this paper, some consequences of spacetime fuzziness are studied. Due to this fuzzy structure, some basic notions of ordinary quantum mechanics such as position space representation, wave packet broadening during its propagation and coherent states of quantum mechanical systems should be re-examined.

Suggested Citation

  • Nozari, Kourosh & Fazlpour, Behnaz, 2007. "Some consequences of spacetime fuzziness," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 224-234.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:2:p:224-234
    DOI: 10.1016/j.chaos.2006.03.066
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906002700
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.03.066?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. Mursaleen, M. & Mohiuddine, S.A., 2009. "Nonlinear operators between intuitionistic fuzzy normed spaces and Fréchet derivative," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1010-1015.
    2. Abbasbandy, S. & Otadi, M. & Mosleh, M., 2008. "Minimal solution of general dual fuzzy linear systems," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1113-1124.
    3. Yilmaz, Yilmaz, 2009. "Fréchet differentiation of nonlinear operators between fuzzy normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 473-484.
    4. Azab Abd-Allah, M. & El-Saady, Kamal & Ghareeb, A., 2009. "(r,s)-Fuzzy F-open sets and (r,s)-fuzzy F-closed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 649-656.
    5. Zahran, A.M. & Abd-Allah, M. Azab. & Abd El-Rahman, Abd El-Nasser G., 2009. "Fuzzy weakly preopen (preclosed) function in Kubiak–Šostak fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1158-1168.
    6. Nourouzi, Kourosh, 2009. "On the convexity of fuzzy nets," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1356-1360.

    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:34:y:2007:i:2:p:224-234. 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.