Optical triangulations of curved spaces
Optical triangulations of curved spaces
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DOI：
10.1364/optica.378357
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发表时间：
2020-02
期刊：
影响因子：
10.4
通讯作者：
Dimitris Georgantzis Garcia;G. Chaplain;Jakub Bělín;T. Tyc;C. Englert;J. Courtial
中科院分区：
文献类型：
--
作者：
Dimitris Georgantzis Garcia;G. Chaplain;Jakub Bělín;T. Tyc;C. Englert;J. Courtial
弯曲空间不仅让科学家和非科学家着迷，而且也是广义相对论和现代量子引力理论的核心。光学系统可以为弯曲空间的波动和量子行为提供模型。在这里，我们展示了如何构建光学系统，模拟三角形的3D弯曲空间，例如，弯曲的3D表面的4D超球体。我们的工作为弯曲空间的光学模拟提供了一种新的方法，并有可能导致思考弯曲空间中的物理学和模拟非欧几里德几何中无法实现的现象的新方法。
Not only do curved spaces fascinate scientists and non-scientists, but they are also at the heart of general relativity and modern theories of quantum gravity. Optical systems can provide models for the wave and quantum behavior of curved spaces. Here we show how to construct optical systems that simulate triangulations of 3D curved spaces, for example, the curved 3D surface of a 4D hypersphere. Our work offers a new approach to the optical simulation of curved spaces, and has the potential to lead to new ways of thinking about physics in curved spaces and simulating otherwise inaccessible phenomena in non-Euclidean geometries.