Ambjørn J, Jurkiewicz J, Loll R
The Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark.
Phys Rev Lett. 2005 Oct 21;95(17):171301. doi: 10.1103/PhysRevLett.95.171301. Epub 2005 Oct 20.
We measure the spectral dimension of universes emerging from nonperturbative quantum gravity, defined through state sums of causal triangulated geometries. While four dimensional on large scales, the quantum universe appears two dimensional at short distances. We conclude that quantum gravity may be "self-renormalizing" at the Planck scale, by virtue of a mechanism of dynamical dimensional reduction.
我们测量了由非微扰量子引力产生的宇宙的谱维度,该维度通过因果三角剖分几何的状态求和来定义。虽然在大尺度上是四维的,但量子宇宙在短距离下似乎是二维的。我们得出结论,由于动态维度约化机制,量子引力在普朗克尺度上可能是“自重整化”的。