无序局域性和洛伦兹色散关系:量子泡沫的一个显式模型
Disordered locality and Lorentz dispersion relations: an explicit model of quantum foam
摘要:
利用量子图形的框架,我们构建了一个量子泡沫的显式模型,一个具有空间非局域链接的量子时空。状态取决于两个参数:链接的最小大小和它们相对于此长度的密度。宏观洛伦兹不变性要求时空的量子叠加被这些非局域链接的长度所抑制。我们参数化这种抑制的量子泡沫中的非本地链接长度的分布。我们讨论一般情况,然后分析两个特定的自然分布。修正的洛伦兹色散关系的计算使用以前的工作中开发的技术。
英文摘要:
Using the framework of Quantum Graphity, we construct an explicit model of a quantum foam, a quantum spacetime with spatial non-local links. The states depend on two parameters: the minimal size of the link and their density with respect to this length. Macroscopic Lorentz invariance requires that the quantum superposition of spacetimes is suppressed by the length of these non-local links. We parametrize this suppression by the distribution of non-local links lengths in the quantum foam. We discuss the general case and then analyze two specific natural distributions. Corrections to the Lorentz dispersion relations are calculated using techniques developed in previous work.
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