电磁场的经典几何化
The classical geometrization of the electromagnetism
摘要:
从历史的角度来看,如果说电磁理论在19世纪得到了巩固,那么20世纪狭义相对论和广义相对论的出现则为进一步的发展开辟了可能性,人们寻求将引力和电磁学统一到一个统一的理论上。在这种背景下,出现了一些对电磁学几何化的尝试,这些第一个模型严格地居住在经典的基础上。后来,他们被更完整和包容的量子场论。本工作重新考虑了经典的观点,目的是表明,在一阶近似下,电磁构成了一个几何结构,除了其他现象,如引力,磁单极子不存在,至少在这个近似阶。即使是有限的,该模型是一致的,并提供了有效性的实验测试的可能性。
英文摘要:
Following the line of the history, if by one side the electromagnetic theory was consolidated on the 19th century, the emergence of the special and the general relativity theories on the 20th century opened possibilities of further developments, with the search for the unification of the gravitation and the electromagnetism on a single unified theory. Some attempts to the geometrization of the electromagnetism emerged in this context, where these first models resided strictly on a classical basis. Posteriorly, they were followed by more complete and embracing quantum field theories. The present work reconsiders the classical viewpoint, with the purpose of showing that at first order of approximation the electromagnetism constitutes a geometric structure aside other phenomena as gravitation, and that magnetic monopoles do not exist at least up to this order of approximation. Even though being limited, the model is consistent and offers the possibility of an experimental test of validity.
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