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Systems 2014, 2(2), 203-216; https://doi.org/10.3390/systems2020203

On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature

1
Dipartimento di Fisica "E. R. Caianiello", Università di Salerno, Fisciano (Salerno) 84084, Italy
2
INFN, Sezione di Napoli, Gruppo Collegato Salerno, Fisciano (Salerno) 84084, Italy 
Received: 9 April 2014 / Revised: 5 May 2014 / Accepted: 12 May 2014 / Published: 14 May 2014
(This article belongs to the Special Issue Towards a Second Generation General System Theory)
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Abstract

In electrodynamics there is a mutual exchange of energy and momentum between the matter field and the electromagnetic field and the total energy and momentum are conserved. For a constant magnetic field and harmonic scalar potential, electrodynamics is shown to be isomorph to a system of damped/amplified harmonic oscillators. These can be described by squeezed coherent states which in turn are isomorph to self-similar fractal structures. Under the said conditions of constant magnetic field and harmonic scalar potential, electrodynamics is thus isomorph to fractal self-similar structures and squeezed coherent states. At a quantum level, dissipation induces noncommutative geometry with the squeezing parameter playing a relevant role. Ubiquity of fractals in Nature and relevance of coherent states and electromagnetic interaction point to a unified, integrated vision of Nature. View Full-Text
Keywords: electrodynamics; fractal self-similarity; dissipation; coherence electrodynamics; fractal self-similarity; dissipation; coherence
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Vitiello, G. On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature. Systems 2014, 2, 203-216.

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