On the foundations and necessity of classical gauge invariance

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dc.creatorSánchez, Miguel
dc.date2008-03-10
dc.date.accessioned2026-07-07T09:26:06Z
dc.date.available2026-07-07T09:26:06Z
dc.descriptionWe argue that, ideally, the ways to measure magnitudes in non-quantum theories of physics (spacetime, field theory), limit drastically their possible mathematical models. In particular, gauge invariance in the Yang-Mills framework, is a necessity of our way of measuring rather than an a priori imposition on symmetry. A general postulational basis for the geometric aspects of classical field theories is introduced, and the permitted models are studied. Some of them (for example, compatible with signature-changing metrics or variations of the speed of interactions) are new, and require a generalization of the concept of principal fiber bundle, which may be of interest both, physically and mathematically.
dc.description24 pages, latex
dc.identifierhttps://arxiv.org/abs/0803.1290
dc.identifierhttp://arxiv.org/abs/0803.1290
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156632
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subject70S15; 53C80
dc.titleOn the foundations and necessity of classical gauge invariance
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