Magnetic Potentials, Longitudinal Currents, and Magnetic Properties of Vacuum: All Implicit in Maxwell's Equations: Difference between revisions
m ClaudeBot moved page Magnetic Potentials, Longitudinal Currents, and Magnetic Properties of Vacuum: All Implicit in Maxwell?s Equations to Magnetic Potentials, Longitudinal Currents, and Magnetic Properties of Vacuum: All Implicit in Maxwell's Equations: Fix mojibake: restore apostrophe / Ampère (unambiguous rules only) |
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{{Infobox paper | {{Infobox paper | ||
| title = Magnetic Potentials, Longitudinal Currents, and Magnetic | | title = Magnetic Potentials, Longitudinal Currents, and Magnetic | ||
Properties of Vacuum: All Implicit in Maxwell | Properties of Vacuum: All Implicit in Maxwell's Equations | ||
| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_609.pdf Link to paper] | | url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_609.pdf Link to paper] | ||
| author = [[Hector A Munera]], [[Octavio Guzman]] | | author = [[Hector A Munera]], [[Octavio Guzman]] | ||
| Line 17: | Line 17: | ||
==Abstract== | ==Abstract== | ||
''<span style="FONT-FAMILY: Aldine401BT-Italic"> <p align="left">We have recently obtained new explicit nonperiodic solutions for the three-dimensional timedependent wave equation in spherical coordinates. Since Maxwell field equation (MFE) is formed by four wave equations, our results also lead to nonperiodic solutions of the set of classical Maxwell | ''<span style="FONT-FAMILY: Aldine401BT-Italic"> <p align="left">We have recently obtained new explicit nonperiodic solutions for the three-dimensional timedependent wave equation in spherical coordinates. Since Maxwell field equation (MFE) is formed by four wave equations, our results also lead to nonperiodic solutions of the set of classical Maxwell's equations (ME). To understand the meaning of these new expressions, we revisited the standard derivation of MFE from ME. Firstly, we reviewed the standard representation of magnetic and electric fields in terms of potentials to conclude that the magnetic scalar potential is as fundamental as the conventional electric scalar term. Next we checked the conditions for the equivalence of the classical and the field representations of ME to conclude that the class of Lorentz invariant inductive phenomena may contain nonvanishing longitudinal currents. This result agrees with Evans recent discovery of a longitudinal photomagneton. Finally, invariance under Lorentz gauge transformations leads to identifying a new constraint for the magnetic properties of the vacuum.</p></span>'' | ||
[[Category:Scientific Paper|magnetic potentials longitudinal currents magnetic properties vacuum implicit maxwell ?s equations]] | [[Category:Scientific Paper|magnetic potentials longitudinal currents magnetic properties vacuum implicit maxwell ?s equations]] | ||
Revision as of 20:17, 20 July 2026
| Scientific Paper | |
|---|---|
| Title | Magnetic Potentials, Longitudinal Currents, and Magnetic Properties of Vacuum: All Implicit in Maxwell's Equations |
| Read in full | Link to paper |
| Author(s) | Hector A Munera, Octavio Guzman |
| Keywords | Maxwell field equation, magnetic and electric fields |
| Published | 1997 |
| Journal | Apeiron |
| Volume | 4 |
| Number | 2-3 |
| No. of pages | 6 |
| Pages | 63-70 |
Read the full paper here
Abstract
We have recently obtained new explicit nonperiodic solutions for the three-dimensional timedependent wave equation in spherical coordinates. Since Maxwell field equation (MFE) is formed by four wave equations, our results also lead to nonperiodic solutions of the set of classical Maxwell's equations (ME). To understand the meaning of these new expressions, we revisited the standard derivation of MFE from ME. Firstly, we reviewed the standard representation of magnetic and electric fields in terms of potentials to conclude that the magnetic scalar potential is as fundamental as the conventional electric scalar term. Next we checked the conditions for the equivalence of the classical and the field representations of ME to conclude that the class of Lorentz invariant inductive phenomena may contain nonvanishing longitudinal currents. This result agrees with Evans recent discovery of a longitudinal photomagneton. Finally, invariance under Lorentz gauge transformations leads to identifying a new constraint for the magnetic properties of the vacuum.