论文标题
六个维度的平面时空中的电动力学
Electrodynamics in flat spacetime of six dimensions
论文作者
论文摘要
我们考虑在六个维度的平坦时空中经典电荷的动力学。自由电荷的质量壳关系允许非线性振荡。在分析了法拉第张量的特征值和特征向量的问题之后，我们在6D中建立了电磁场的代数结构。我们根据三个领域的不变式阐述了分类方案。使用电磁场张量的基本代数特性，我们分析了在恒定电磁场中电荷的运动。它的世界线是双曲线和圆形轨道的组合，这些轨道位于三个互惠正交的纸张中。在Braneworld方案中，我们将理论投射到四个维度的DE Sitter空间上。实际上，事实证明，基本颗粒本身的旋转是额外维度的表现。
We consider the dynamics of a classical charge in flat spacetime of six dimensions. The mass shell relation of a free charge admits nonlinear oscillations. Having analyzed the problem of on eigenvalues and eigenvectors of Faraday tensor, we establish the algebraic structure of electromagnetic field in 6D. We elaborate the classification scheme based on three field's invariants. Using the basic algebraic properties of the electromagnetic field tensor we analyze the motion of a charge in constant electromagnetic field. Its world line is a combination of hyperbolic and circular orbits which lie in three mutually orthogonal sheets of two dimensions. Within the braneworld scenario, we project the theory on the de Sitter space of four dimensions. Actually, as it turns out, spins of elementary particles themselves are manifestations of extra dimensions.
