MAXWELL REVISITED

MAXWELL REVISITED

This work explores what other mathematical possibilities were available to Maxwell for formulating his electromagnetic field model, by characterizing the family of mathematical models induced by the analytical equations describing electromagnetic phenomena prevailing at that time. The need for this...

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Autor principal: SÁINZ,NORBERTO
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2007
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000100006
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spelling oai:scielo:S0716-091720070001000062018-10-30MAXWELL REVISITEDSÁINZ,NORBERTOThis work explores what other mathematical possibilities were available to Maxwell for formulating his electromagnetic field model, by characterizing the family of mathematical models induced by the analytical equations describing electromagnetic phenomena prevailing at that time. The need for this research stems from the article "Inertial Relativity - A Functional Analysis Review", recently published in "Proyecciones", which claims and demonstrates the existence of an axiomatic conflict between the special and general theories of relativity on one side, and functional analysis on the other, making the reformulation of the relativistic theories, mandatory. As will be shown herein, such reformulation calls for a revision of Maxwell's electromagnetic field model. The conclusion is reached that -given the set of equations considered by Maxwell- not a unique, but an infinite number of mathematically correct reformulations to Ampere's law exists, resulting in an equally abundant number of potential models for the electromagnetic phenomena (including Maxwell's). Further experimentation is required in order to determine which is the physically correct model.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.26 n.1 20072007-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000100006en10.4067/S0716-09172007000100006
institution Scielo Chile
collection Scielo Chile
language English
description This work explores what other mathematical possibilities were available to Maxwell for formulating his electromagnetic field model, by characterizing the family of mathematical models induced by the analytical equations describing electromagnetic phenomena prevailing at that time. The need for this research stems from the article "Inertial Relativity - A Functional Analysis Review", recently published in "Proyecciones", which claims and demonstrates the existence of an axiomatic conflict between the special and general theories of relativity on one side, and functional analysis on the other, making the reformulation of the relativistic theories, mandatory. As will be shown herein, such reformulation calls for a revision of Maxwell's electromagnetic field model. The conclusion is reached that -given the set of equations considered by Maxwell- not a unique, but an infinite number of mathematically correct reformulations to Ampere's law exists, resulting in an equally abundant number of potential models for the electromagnetic phenomena (including Maxwell's). Further experimentation is required in order to determine which is the physically correct model.
author SÁINZ,NORBERTO
spellingShingle SÁINZ,NORBERTO
MAXWELL REVISITED
author_facet SÁINZ,NORBERTO
author_sort SÁINZ,NORBERTO
title MAXWELL REVISITED
title_short MAXWELL REVISITED
title_full MAXWELL REVISITED
title_fullStr MAXWELL REVISITED
title_full_unstemmed MAXWELL REVISITED
title_sort maxwell revisited
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2007
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000100006
work_keys_str_mv AT sainznorberto maxwellrevisited
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