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arXiv 2110.03388gr-qcquant-ph
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Minkowski时空的简单确定性图重写

Emergence of Minkowski-Spacetime by Simple Deterministic Graph Rewriting

Gabriel Leuenberger

摘要:

因果集程序以及Wolfram物理学项目留下了一个开放的问题,即根据其简单的测地线距离是(3+1)维闵可夫斯基时空的图如何仅从简单的确定性规则生成。本文通过描述4D格点图之间离散洛伦兹增强的简单规则来提供解决方案,这些规则进一步结合形成产生各向同性的维格纳旋转,并导致连续洛伦兹群和(3+1)维闵可夫斯基时空的出现。在这样的图上,光速、适当的时间间隔以及适当的长度都被证明是高度精确的。

英文摘要:

The causal set program as well as the Wolfram physics project leave open the problem of how a graph that is a (3+1)-dimensional Minkowski-spacetime according to its simple geodesic distances, could be generated solely from simple deterministic rules. This paper provides a solution by describing simple rules that characterize discrete Lorentz boosts between 4D lattice graphs, which combine further to form Wigner rotations that produce isotropy and lead to the emergence of the continuous Lorentz group and the (3+1)-dimensional Minkowski-spacetime. On such graphs, the speed of light, the proper time interval, as well as the proper length are all shown to be highly accurate.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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