标题： 全息原理的拓扑起源 显示英文标题

标题： Topological Origin of Holographic Principle

摘要： 在寻找变形收缩理论与物理学之间的联系时，我们研究了拓扑收缩与量子引力中的全息图概念之间的强烈相似性。 在之前的一篇出版物[15]中，作者提出了一种简单的技术来研究具有里奇平坦度规的空间的变形收缩。 我们认为变形收缩是全息原理的拓扑类比，并且可以作为探索全息几何的有用工具。 作为一个例子，我们讨论五维（5D）里奇平坦虫洞度规自身内的变形收缩，在等距折叠之后并推导出这些关系的相关定理。 已经发现，五维虫洞时空的一些测地线收缩在五维虫洞时空中是圆圈。 显示英文摘要

摘要： In searching for a connection between the theory of deformation retract and physics, we have investigated the strong similarity between the topological retraction and the hologram idea in quantum gravity. In a previous publication [15], A suggested simple technique has been developed by the authors to study the deformation retract of spaces with Ricci-flat metrics. We suggest that the deformation retract is the topological analogs of the holographic principle and it could be used as a useful tool to explore the hologram geometry. As an example, We discuss the deformation retract of a five dimensional (5D) Ricci-flat wormhole metric into itself and after the isometric folding and deduce theorems concerning these relations. It has been found that Some types of the geodesic retractions of the 5D wormhole space-time are circles in the 5D wormhole space-time.