dorsal/arxiv
View SchemaIntroduction to Extended Electrodynamics
| Authors | Stoil Donev |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9711002 |
| URL | https://arxiv.org/abs/patt-sol/9711002 |
Abstract
This paper summarizes the motivations and results obtained so far in the frame of a particular non-linearization of Classical Electrodynamics, which was called Extended Electrodynamics. The main purpose pursued with this non-linear extension of the classical Maxwell's equations is to have a reliable field-theoretical approach in describing (3+1) soliton-like electromagnetic formations, in particular, to build an extended and finite field model of free photons and photon complexes. The first chapter gives a corresponding analysis of Maxwell theory and introduces the new equations. The second chapter gives a full account of the results, including the photon-like solutions, in the vacuum case. A new concept, called scale factor, is defined and successfully used. Two ways for describing the intrinsic angular momentum are given. Interference of two photon-like solutions is also considered. The third chapter considers interaction with external fields (continuous media) on the base of establishing correspondence between the physical concept of nondissipation and the mathematical concept of integrability of Pfaff systems. A large family of solutions is found, allowing a (3+1) interpretation of all known (1+1) soliton solutions.
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"abstract": "This paper summarizes the motivations and results obtained so far in the\nframe of a particular non-linearization of Classical Electrodynamics, which was\ncalled Extended Electrodynamics. The main purpose pursued with this non-linear\nextension of the classical Maxwell\u0027s equations is to have a reliable\nfield-theoretical approach in describing (3+1) soliton-like electromagnetic\nformations, in particular, to build an extended and finite field model of free\nphotons and photon complexes. The first chapter gives a corresponding analysis\nof Maxwell theory and introduces the new equations. The second chapter gives a\nfull account of the results, including the photon-like solutions, in the vacuum\ncase. A new concept, called scale factor, is defined and successfully used. Two\nways for describing the intrinsic angular momentum are given. Interference of\ntwo photon-like solutions is also considered. The third chapter considers\ninteraction with external fields (continuous media) on the base of establishing\ncorrespondence between the physical concept of nondissipation and the\nmathematical concept of integrability of Pfaff systems. A large family of\nsolutions is found, allowing a (3+1) interpretation of all known (1+1) soliton\nsolutions.",
"arxiv_id": "patt-sol/9711002",
"authors": [
"Stoil Donev"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"title": "Introduction to Extended Electrodynamics",
"url": "https://arxiv.org/abs/patt-sol/9711002"
},
"schema_id": "dorsal/arxiv",
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"variant": "snapshot-2026-03-01",
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