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
Article Menu

Export Article

Open AccessArticle
Systems 2014, 2(2), 203-216; doi: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)
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 alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

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.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

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