Next Article in Journal
Simulation-Based Learning Environments to Teach Complexity: The Missing Link in Teaching Sustainable Public Management
Next Article in Special Issue
Networks as a Privileged Way to Develop Mesoscopic Level Approaches in Systems Biology
Previous Article in Journal
A Sceptics View: “Kleiber’s Law” or the “3/4 Rule” is neither a Law nor a Rule but Rather an Empirical Approximation
Systems 2014, 2(2), 203-216; doi:10.3390/systems2020203
Article

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

1,2
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)
View Full-Text   |   Download PDF [375 KB, 15 May 2014; original version 14 May 2014]   |  

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.
Keywords: electrodynamics; fractal self-similarity; dissipation; coherence electrodynamics; fractal self-similarity; dissipation; coherence
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
SciFeed

Share & Cite This Article

Further Mendeley | CiteULike
Export to BibTeX |
EndNote |
RIS
MDPI and ACS Style

Vitiello, G. On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature. Systems 2014, 2, 203-216.

View more citation formats

Related Articles

Article Metrics

Comments

[Return to top]
Systems EISSN 2079-8954 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert