IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v33y2007i3p717-724.html
   My bibliography  Save this article

E-infinity as a fiber bundle and its thermodynamics

Author

Listed:
  • Mukhamedov, A.M.

Abstract

This paper presents a novel approach for the investigation of fractals. Using parameters of fractal organization we introduce generalized Gibbs statistic and apply it for the development of thermodynamics of fractals. Our generalization is based on a fractal generation function that produces a representation for particular states of fractal space–time.

Suggested Citation

  • Mukhamedov, A.M., 2007. "E-infinity as a fiber bundle and its thermodynamics," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 717-724.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:3:p:717-724
    DOI: 10.1016/j.chaos.2006.11.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906010551
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.11.016?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.

    References listed on IDEAS

    as
    1. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    2. El Naschie, M.S., 2005. "The two-slit experiment as the foundation of E-infinity of high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 509-514.
    3. Nozari, Kourosh, 2006. "Nonlinear operations on distributions and application to cosmology of very early universe," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 290-299.
    4. Mukhamedov, Alfred M., 2006. "Towards a gauge theory of turbulence," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 253-261.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. El Naschie, M.S., 2008. "Conjectures regarding kissing spheres hierarchy and quantum gravity unification," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 346-350.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    2. El Naschie, M.S., 2008. "High energy physics and the standard model from the exceptional Lie groups," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 1-17.
    3. Mukhamedov, Alfred M., 2007. "The two-slit gedanken experiment in E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 1-4.
    4. El Naschie, M.S., 2007. "Feigenbaum scenario for turbulence and Cantorian E-infinity theory of high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 911-915.
    5. El Naschie, M.S., 2007. "On the universality class of all universality classes and E-infinity spacetime physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 927-936.
    6. El Naschie, M.S., 2009. "Arguments for the compactness and multiple connectivity of our cosmic spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2787-2789.
    7. El Naschie, M.S., 2008. "Quarks confinement," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 6-8.
    8. Liang, Y.S. & Su, W.Y., 2007. "The relationship between the fractal dimensions of a type of fractal functions and the order of their fractional calculus," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 682-692.
    9. El Naschie, M.S., 2008. "The fundamental algebraic equations of the constants of nature," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 320-322.
    10. Gregori, V. & Romaguera, S. & Veeramani, P., 2006. "A note on intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 902-905.
    11. El Naschie, M.S., 2008. "Quarks confinement via Kaluza–Klein theory as a topological property of quantum classical spacetime phase transition," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 825-829.
    12. Wu, Yahao & Wang, Xiao-Tian & Wu, Min, 2009. "Fractional-moment CAPM with loss aversion," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1406-1414.
    13. Liu, Zhanwei & Hu, Guoen & Lu, Zhibo, 2009. "Parseval frame scaling sets and MSF Parseval frame wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1966-1974.
    14. Li, Dengfeng & Wu, Guochang, 2009. "Construction of a class of Daubechies type wavelet bases," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 620-625.
    15. El Naschie, M.S., 2008. "Hierarchy of kissing numbers for exceptional Lie symmetry groups in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 420-422.
    16. Özer, Mehmet Naci & Taşcan, Filiz, 2009. "Derivation of Korteweg–de Vries flow equations from nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2265-2270.
    17. El Naschie, M.S., 2008. "Conjectures regarding kissing spheres hierarchy and quantum gravity unification," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 346-350.
    18. Yuan, De-you & Du, Shu-de & Cheng, Zheng-xing, 2009. "Design and properties of vector-valued wavelets associated with an orthogonal vector-valued scaling function," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1368-1376.
    19. El Naschie, M.S., 2006. "Fuzzy Dodecahedron topology and E-infinity spacetime as a model for quantum physics," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1025-1033.
    20. Marek-Crnjac, L., 2008. "From Arthur Cayley via Felix Klein, Sophus Lie, Wilhelm Killing, Elie Cartan, Emmy Noether and superstrings to Cantorian space–time," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1279-1288.

    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:33:y:2007:i:3:p:717-724. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.