普朗克尺度诱导时空聚变的预言描述
Predictive description of Planck-scale-induced spacetime fuzziness
摘要：
量子引力问题的几种方法预测时空应该是“模糊的”，但迄今为止还不能提供一个明确的物理表征这一概念。一个直观的图像的时空fuzzy已经提出了半启发式的论点的基础上，特别是涉及到一个不可约的普朗克尺度的贡献，粒子的能量的不确定性。这些论点也激发了一个相当活跃的现象学计划，寻找模糊的图像遥远的天体物理来源，将导致这种能量的不确定性。在这里，我们报告有史以来第一次的物理特性的时空future推导出建设性的量子图像的时空，提供了时空的非对易性。我们的研究结果证实了早期的启发式论点，即时空future，而在地球尺度上无关紧要的小，可以观察到大的粒子在宇宙学距离的传播。然而，我们没有发现普朗克尺度引起的粒子能量不确定性的下限，我们观察到，这改变了我们应该如何描绘量子时空，也迫使重新分析相关的现象。
英文摘要：
Several approaches to the quantum-gravity problem predict that spacetime should be "fuzzy", but have been so far unable to provide a crisp physical characterization of this notion. An intuitive picture of spacetime fuzziness has been proposed on the basis of semi-heuristic arguments, and in particular involves an irreducible Planck-scale contribution to the uncertainty of the energy of a particle. These arguments also inspired a rather active phenomenological programme looking for blurring of images of distant astrophysical sources that would result from such energy uncertainties. We here report the first ever physical characterization of spacetime fuzziness derived constructively within a quantum picture of spacetime, the one provided by spacetime noncommutativity. Our results confirm earlier heuristic arguments suggesting that spacetime fuzziness, while irrelevantly small on terrestrial scales, could be observably large for propagation of particles over cosmological distances. However, we find no Planck-scale-induced lower bound on the uncertainty of the energy of particles, and we observe that this changes how we should picture a quantum spacetime and also imposes a reanalysis of the associated phenomenology.
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