Fractal–cantorian geometry of space-time

Oldrich Zmeskal, Martin Vala, Martin Weiter and Pavla Stefkova

Chaos, Solitons & Fractals, 2009, vol. 42, issue 3, 1878-1892

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:3:p:1878-1892

DOI: 10.1016/j.chaos.2009.03.106

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