Abstract
Various different approaches to the definition of entropy and their connections with fractal dimensions of systems were described in the paper Entropy of Fractal Systems presented at the conference Nostaradamus 2012. In the second part of the paper, the described findings were applied to study the fractal properties of image structures.
Further development is going to be presented in this paper. Conclusions of general fractal theory will be applied to the general fractal systems represented by elements (elementary particles) having fractal structure. An typical example may include the space and time distribution of mass and electric charge, i.e. the general energy. The properties of fractal fields of these quantities (gravitational, electric or other field) can be described by means of fractal geometry generally at Edimensional space, where E = 0, 1, 2, 3, ... The density of energy and entropy of these fractal elements will be also determined from the distribution of their quantity, field intensity and potential.
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Zmeskal, O., Vesely, M., Dzik, P., Vala, M. (2013). Energy and Entropy of Fractal Objects: Application to Gravitational Field. In: Zelinka, I., Chen, G., Rössler, O., Snasel, V., Abraham, A. (eds) Nostradamus 2013: Prediction, Modeling and Analysis of Complex Systems. Advances in Intelligent Systems and Computing, vol 210. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00542-3_45
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DOI: https://doi.org/10.1007/978-3-319-00542-3_45
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