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arXiv 1902.09440gr-qc
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Fock非线性相对论中Maxwell方程组的精确形式和Dirac磁解

Exact form of Maxwell's equations and Dirac's magnetic monopole in Fock's nonlinear relativity

Naimi Takka, Ahmed Bouda

摘要:

在得到了Fock非线性相对论中Maxwell方程的一级近似的基础上,本文提出了相应的精确形式。为了实现这一目标,我们的灵感主要来自于特殊相对论版本的费曼的证明,我们构建了一个形式化的方法更适合于非交换代数。这种推理使我们能够建立广义第一组麦克斯韦方程组的精确形式。为了推导第二个,我们强加了电磁对偶性。与k-闵可夫斯基时空一样,广义洛伦兹力依赖于粒子的质量。在恢复了R-Lorentz代数的对称性之后,我们用微扰的方法找到了广义Dirac磁势的精确形式。因此,宇宙可能局部包含磁荷,但总体上仍然是中性的。

英文摘要:

After having obtained previously an extended first approximation of Maxwell's equations in Fock's nonlinear relativity, we propose here the corresponding exact form. In order to achieve this goal, we were inspired mainly by the special relativistic version of Feynman's proof from which we constructed a formal approach more adapted to the noncommutative algebra. This reasoning lets us establish the exact form of the generalized first group of Maxwell's equations. To deduce the second one, we have imposed the electric-magnetic duality. As in the k-Minkowski space-time, the generalized Lorentz force depends on the mass of the particle. After having restored the R-Lorentz algebra symmetry, we have used the perturbative treatment to find the exact form of the generalized Dirac's magnetic monopole in our context. As consequence, the Universe could locally contain the magnetic charge but in its totality it is still neutral.

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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