多层黎曼几何时空广义相对论

Multilayer Riemannian Geometry in General Relativity

摘要: 广义相对论至今未能成功实现量子化，其核心原因在于广义相对论将时空视为一个连续的四维曲面，而量子力学则主要处理离散的量子态。在这篇论文中，我们提出了一种多层几何时空的广义相对论框架，旨在探索其对广义相对论量子化的潜在贡献与可行建议。通过引入多个层次的时空结构，我们希望能够架起量子力学与引力理论之间的桥梁，从而为量子引力的研究提供新的思路和方向。

Abstract: The inability to successfully quantize general relativity to date stems from the fact that general relativity treats spacetime as a continuous four-dimensional manifold, whereas quantum mechanics primarily deals with discrete quantum states. In this paper, we propose a framework for general relativity based on a multi-layer geometric spacetime, aiming to explore its potential contributions and feasible suggestions for the quantization of general relativity. By introducing multiple layers of spacetime structure, we hope to bridge the gap between quantum mechanics and gravitational theory, thereby providing new ideas and directions for the study of quantum gravity.