Title: Modeling Kleinian cosmology with electronic metamaterials Show Chinese title

Title: 用电子超材料模拟克莱因宇宙学

Abstract: This paper deals with the propagation of Klein-Gordon particles in flat background spacetime exhibiting discontinuous metric changes from a Lorentzian signature (-,+,+,+) to a Kleinian signature (-,+,+,-). A formal analogy with the propagation of electrons at a junction between an anisotropic semiconductor and an electronic metamaterial is presented. From that analogy, we study the dynamics of these particles falling onto planar boundary interfaces between these two families of media and show a mirror-like behavior for the particle flux. Finally, the case of a double junction of finite thickness is examined and the possibility of tunneling through it is discussed. A physical link between the metamaterial and the Kleinian slabs is found by calculating the time of flight of the respective traversing particles. Show Chinese abstract

Abstract: 本文讨论了在展示从洛伦兹度规(-,+,+,+)到克莱因度规(-,+,+,-)的不连续度规变化的平坦背景时空中的克莱因-戈登粒子的传播。 提出了与电子在各向异性半导体和电子超材料之间的结处传播的正式类比。 从这种类比出发，我们研究了这些粒子落入这两种介质族之间的平面边界界面的动力学，并展示了粒子通量的镜像行为。 最后，检查了有限厚度的双结情况，并讨论了通过它进行隧穿的可能性。 通过计算相应穿越粒子的飞行时间，发现了超材料和克莱因板之间的物理联系。