IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v38y2008i2p339-347.html
   My bibliography  Save this article

The effect of modified dispersion relations on the thermodynamics of black-body radiation

Author

Listed:
  • Nozari, Kourosh
  • Sefidgar, A.S.

Abstract

In the study of loop quantum gravity and of models based on noncommutative geometry, there has been strong interest in some candidate modifications of the energy-momentum dispersion relation. In this paper we consider the effects of modified dispersion relation (MDR) on the thermodynamics of black-body radiation. We find a generalized Planck distribution and then apply it to find generalized Stefan–Boltzmann and generalized Wien’s law. As a consequence, we study the effects of these modifications on the entropy and specific heat of black-body radiation. We investigate also the relation between our findings and the results of E-infinity theory by considering distribution and temperature of cosmic microwave background radiation.

Suggested Citation

  • Nozari, Kourosh & Sefidgar, A.S., 2008. "The effect of modified dispersion relations on the thermodynamics of black-body radiation," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 339-347.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:2:p:339-347
    DOI: 10.1016/j.chaos.2006.11.035
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906010903
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.11.035?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.
    Full references (including those not matched with items on IDEAS)

    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. Kocer, E. Gokcen & Tuglu, Naim & Stakhov, Alexey, 2009. "On the m-extension of the Fibonacci and Lucas p-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1890-1906.
    2. Nasef, Arafa A. & Hatir, E., 2009. "On fuzzy pre-I-open sets and a decomposition of fuzzy I-continuity," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1185-1189.
    3. 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.
    4. El Naschie, M.S., 2008. "Exceptional Lie groups hierarchy and some fundamental high energy physics equations," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 82-84.
    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. Munroe, Ray, 2009. "The MSSM, E8, Hyperflavor E12 and E∞ TOE’s compared and contrasted," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1557-1560.
    9. El Naschie, M.S., 2008. "Deriving the largest expected number of elementary particles in the standard model from the maximal compact subgroup H of the exceptional Lie group E7(-5)," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 956-961.
    10. El Naschie, M.S., 2008. "Derivation of Newton’s gravitational fine structure constant from the spectrum of Heterotic superstring theory," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 303-307.
    11. El Naschie, M.S., 2008. "On quarks confinement and asymptotic freedom," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1289-1291.
    12. Nozari, Kourosh & Mehdipour, S. Hamid, 2009. "Failure of standard thermodynamics in planck scale black hole system," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 956-970.
    13. El Naschie, M.S., 2009. "Curvature, Lagrangian and holonomy of Cantorian-fractal spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2163-2167.
    14. Chen, Qingjiang & Cao, Huaixin & Shi, Zhi, 2009. "Construction and characterizations of orthogonal vector-valued multivariate wavelet packets," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1835-1844.
    15. El Naschie, M.S., 2007. "From symmetry to particles," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 427-430.
    16. 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.
    17. El Naschie, M. Saladin, 2006. "Intermediate prerequisites for E-infinity theory (Further recommended reading in nonlinear dynamics and mathematical physics)," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 622-628.
    18. El Naschie, M.S., 2006. "Topics in the mathematical physics of E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 656-663.
    19. El Naschie, M.S., 2008. "One and two-stein space hierarchies in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1189-1190.
    20. El Naschie, M.S., 2008. "The fundamental algebraic equations of the constants of nature," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 320-322.

    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:38:y:2008:i:2:p:339-347. 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.