On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature
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/ampl...
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| Format: | Article |
| Language: | English |
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MDPI AG
2014-05-01
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| Series: | Systems |
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| Online Access: | http://www.mdpi.com/2079-8954/2/2/203 |
| _version_ | 1818013520285925376 |
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| author | Giuseppe Vitiello |
| author_facet | Giuseppe Vitiello |
| author_sort | Giuseppe Vitiello |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T06:34:15Z |
| format | Article |
| id | doaj.art-0cc1753601aa49308a71a3ef6f459f91 |
| institution | Directory Open Access Journal |
| issn | 2079-8954 |
| language | English |
| last_indexed | 2024-04-14T06:34:15Z |
| publishDate | 2014-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Systems |
| spelling | doaj.art-0cc1753601aa49308a71a3ef6f459f912022-12-22T02:07:31ZengMDPI AGSystems2079-89542014-05-012220321610.3390/systems2020203systems2020203On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of NatureGiuseppe Vitiello0Dipartimento di Fisica "E. R. Caianiello", Università di Salerno, Fisciano (Salerno) 84084, ItalyIn 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.http://www.mdpi.com/2079-8954/2/2/203electrodynamicsfractal self-similaritydissipationcoherence |
| spellingShingle | Giuseppe Vitiello On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature Systems electrodynamics fractal self-similarity dissipation coherence |
| title | On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature |
| title_full | On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature |
| title_fullStr | On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature |
| title_full_unstemmed | On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature |
| title_short | On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature |
| title_sort | on the isomorphism between dissipative systems fractal self similarity and electrodynamics toward an integrated vision of nature |
| topic | electrodynamics fractal self-similarity dissipation coherence |
| url | http://www.mdpi.com/2079-8954/2/2/203 |
| work_keys_str_mv | AT giuseppevitiello ontheisomorphismbetweendissipativesystemsfractalselfsimilarityandelectrodynamicstowardanintegratedvisionofnature |