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  • 标题:On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature
  • 本地全文:下载
  • 作者:Giuseppe Vitiello
  • 期刊名称:Systems
  • 电子版ISSN:2079-8954
  • 出版年度:2014
  • 卷号:2
  • 期号:2
  • 页码:203-216
  • DOI:10.3390/systems2020203
  • 语种:English
  • 出版社:MDPI Publishing
  • 摘要: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.
  • 关键词:electrodynamics; fractal self-similarity; dissipation; coherence
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