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The “golden” hyperbolic models of Universe

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  • Stakhov, Alexey
  • Rozin, Boris

Abstract

This article presents a review of new mathematical models of the hyperbolic space. These models are based on the golden section. In this article, the authors discuss the hyperbolic Fibonacci and Lucas functions and the surface of the golden shofar, which are the most important of these models. The authors also introduce, within this article, the golden hyperbolic approach for modeling the universe.

Suggested Citation

  • Stakhov, Alexey & Rozin, Boris, 2007. "The “golden” hyperbolic models of Universe," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 159-171.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:2:p:159-171
    DOI: 10.1016/j.chaos.2006.04.046
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    References listed on IDEAS

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    1. Stakhov, Alexey & Rozin, Boris, 2006. "The continuous functions for the Fibonacci and Lucas p-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 1014-1025.
    2. Stakhov, Alexey & Rozin, Boris, 2005. "The Golden Shofar," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 677-684.
    3. El Naschie, M.S., 2006. "Elementary number theory in superstrings, loop quantum mechanics, twistors and E-infinity high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 297-330.
    4. Stakhov, A.P., 2005. "The Generalized Principle of the Golden Section and its applications in mathematics, science, and engineering," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 263-289.
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    Cited by:

    1. Basu, Manjusri & Prasad, Bandhu, 2009. "Coding theory on the m-extension of the Fibonacci p-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2522-2530.
    2. Ekici, Erdal & Noiri, Takashi, 2009. "Decompositions of continuity, α-continuity and AB-continuity," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2055-2061.

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