dorsal/arxiv
View SchemaThe gauge non-invariance of Classical Electromagnetism
| Authors | Germain Rousseaux |
|---|---|
| Categories | |
| ArXiv ID | physics/0506203 |
| URL | https://arxiv.org/abs/physics/0506203 |
| Journal | Annales Fond.Broglie 30 (2005) 387-397 |
Abstract
"Physical theories of fundamental significance tend to be gauge theories. These are theories in which the physical system being dealt with is described by more variables than there are physically independent degree of freedom. The physically meaningful degrees of freedom then reemerge as being those invariant under a transformation connecting the variables (gauge transformation). Thus, one introduces extra variables to make the description more transparent and brings in at the same time a gauge symmetry to extract the physically relevant content. It is a remarkable occurrence that the road to progress has invariably been towards enlarging the number of variables and introducing a more powerful symmetry rather than conversely aiming at reducing the number of variables and eliminating the symmetry" [1]. We claim that the potentials of Classical Electromagnetism are not indetermined with respect to the so-called gauge transformations. Indeed, these transformations raise paradoxes that imply their rejection. Nevertheless, the potentials are still indetermined up to a constant.
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"abstract": "\"Physical theories of fundamental significance tend to be gauge theories.\nThese are theories in which the physical system being dealt with is described\nby more variables than there are physically independent degree of freedom. The\nphysically meaningful degrees of freedom then reemerge as being those invariant\nunder a transformation connecting the variables (gauge transformation). Thus,\none introduces extra variables to make the description more transparent and\nbrings in at the same time a gauge symmetry to extract the physically relevant\ncontent. It is a remarkable occurrence that the road to progress has invariably\nbeen towards enlarging the number of variables and introducing a more powerful\nsymmetry rather than conversely aiming at reducing the number of variables and\neliminating the symmetry\" [1]. We claim that the potentials of Classical\nElectromagnetism are not indetermined with respect to the so-called gauge\ntransformations. Indeed, these transformations raise paradoxes that imply their\nrejection. Nevertheless, the potentials are still indetermined up to a\nconstant.",
"arxiv_id": "physics/0506203",
"authors": [
"Germain Rousseaux"
],
"categories": [
"physics.class-ph",
"hep-th",
"physics.gen-ph"
],
"journal_ref": "Annales Fond.Broglie 30 (2005) 387-397",
"title": "The gauge non-invariance of Classical Electromagnetism",
"url": "https://arxiv.org/abs/physics/0506203"
},
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