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arXiv physics/0507034physics.gen-ph
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电磁学与引力在一般几何框架下的统一

Unification of Electromagnetism and Gravitation in the Framework of General Geometry

Shervgi Shahverdiyev

摘要:

一个新的几何,称为一般几何,构造。证明了它的最简单的特例是电磁学下的几何学。另一个特例是黎曼几何。从电磁学的几何曲率函数出发,导出了电磁场的作用量和麦克斯韦方程组。证明了粒子与电磁场相互作用的运动方程与电磁学中几何测地线方程完全一致。本文还指出,电磁学不能在黎曼几何的框架内几何化。本文利用《普通几何》提出了一个电磁场和引力场的统一模型,它再现了电磁场和引力场,预言了电磁场是引力场的一个源。这个理论是在四维时空中建立的,不包含额外的场。

英文摘要:

A new geometry, called General geometry, is constructed. It is proven that its the most simplest special case is geometry underlying Electromagnetism. Another special case is Riemannian geometry. Action for electromagnetic field and Maxwell equations are derived from curvature function of geometry underlying Electromagnetism. It is shown that equation of motion for a particle interacting with electromagnetic field coincides exactly with equation for geodesics of geometry underlying Electromagnetism. It is also shown that Electromagnetism can not be geometrized in the framework of Riemannian geometry. Using General Geometry we propose a unified model of electromagnetism and gravitation which reproduces Electromagnetism and Gravitation and predicts that electromagnetic field is a source for gravitational field. This theory is formulated in four dimensional spacetime and does not contain additional fields.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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