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Fractal–cantorian geometry of space-time

Author

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  • Zmeskal, Oldrich
  • Vala, Martin
  • Weiter, Martin
  • Stefkova, Pavla

Abstract

This contribution is concerned with the extension of fractal theory used for the description of elementary stationary physical fields (gravitational, electric fields, fields of weak and strong interactions) as well as stationary fields of other physical quantities (thermal and acoustic) defined in the authors’ previous contributions to space-time area. This theory, defined generally in E-dimensional Euclidean space, was applied for description of stationary effects in one-, two- and three-dimensional space, respectively (r=xi+yj+zk, where i, j, k are orthogonal unitary vectors of Euclidean space). The agreement of laws formulated in various science disciplines with presented theory was proven for Euclidean objects (e.g. Newton gravitation law, Coulomb law, Planck’s radiation law, and 1st Fick’s law). In addition, the presented theory enables extension of validity of given laws for objects having fractal character.

Suggested Citation

  • Zmeskal, Oldrich & Vala, Martin & Weiter, Martin & Stefkova, Pavla, 2009. "Fractal–cantorian geometry of space-time," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1878-1892.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1878-1892
    DOI: 10.1016/j.chaos.2009.03.106
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    References listed on IDEAS

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    1. El Naschie, M.S., 2009. "An irreducibly simple derivation of the Hausdorff dimension of spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1902-1904.
    2. El Naschie, M.S., 2009. "Knots and exceptional Lie groups as building blocks of high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1799-1803.
    3. Zmeskal, Oldrich & Buchnicek, Miroslav & Vala, Martin, 2005. "Thermal properties of bodies in fractal and cantorian physics," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 941-954.
    4. El Naschie, M.S., 2009. "On the Witten–Duff five Branes model together with knots theory and E8E8 super strings in a single fractal spacetime theory," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2018-2021.
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