论文标题
通过外来旋转器的非平凡拓扑的几何方法
A geometrical approach to nontrivial topology via exotic spinors
论文作者
论文摘要
外来的纺纱器在非较小连接的基本歧管中出现，这是由于不务必的纺纱结构。外来纺纱器的动力学赋予了其他差分因子。在这项工作中，我们将异国情调的纺纱镜场景与Cartan的Spinor观点合并，根据该视点，给定的时空点被理解为一种旋转条目的组成。结果，我们到达了几何设置，其中minkowski度量受反映非平凡拓扑的元素的干扰。任何研究双线性形式研究的物理系统都应感受到这种校正。在平坦的时空环境中，我们研究了由于标量场分散关系中非平凡拓扑的干扰而产生的准模式。
Exotic spinors arise in non-simply connected base manifolds due to the nonequivalent spinor structure. The dynamics of exotic spinors are endowed with an additional differential factor. In this work, we merge the exotic spinor scenario with Cartan's spinor viewpoint, according to which a given spacetime point is understood as a kind of composition of spinor entries. As a result, we arrive at a geometrical setup in which the Minkowski metric is perturbed by elements reflecting the nontrivial topology. Such corrections shall be felt by any physical system studied with the resulting bilinear form. Within the flat spacetime context, we investigate quasinormal modes arising from the interference of nontrivial topology in the scalar field dispersion relation.
