论文标题
麦克斯韦方程和洛伦兹的力量
Maxwell's equations and Lorentz force in doubly special relativity
论文作者
论文摘要
基于包含K-Minkowski时空的K形成相位空间的所有换向关系，我们在本文中得出了麦克斯韦方程和洛伦兹力在双重（或变形）特殊相对论（DSR）中的首次近似。为此，我们使用了Feynman的特殊相对论版本的方法，通过该版本我们建立了电场和磁场的明确配方。就像在Fock的非线性相对性（FNLR）中一样，电动力学定律取决于粒子质量，因此构成了两种特殊相对论的两种扩展形式之间的共同点。结果是，相应的运动方程包含两种不同类型的贡献。除了通常的类型外，另一种是由于质量和电荷的共存而出现的，该质量和电荷与K的形式和电磁场结合。 k型相位空间完全引起的这种新效果被解释为重力型洛伦兹力。与FNLR不同，纠正术语全部取决于DSR中的电磁场。
On the basis of all commutation relations of the k-deformed phase space incorporating the k-Minkowski space-time, we have derived in this paper an extended first approximation of both Maxwell's equations and Lorentz force in doubly (or deformed) special relativity (DSR). For this purpose, we have used our approach of the special relativistic version of Feynman's proof by which we have established the explicit formulations of electric and magnetic fields. As in Fock's nonlinear relativity (FNLR), the laws of electrodynamics depend on the particle mass which therefore constitutes a common point between the two extended forms of special relativity. As one consequence, the corresponding equation of motion contains two different types of contributions. In addition to the usual type, another one emerges as a consequence of the coexistence of mass and charge which are coupled with the k-deformation and electromagnetic field. This new effect completely induced by the k-deformed phase space is interpreted as the gravitational-type Lorentz force. Unlike FNLR, the corrective terms all depend on the electromagnetic field in DSR.
