It is shown that the ground state or vacuum of the lattice quantum gravity is significantly different from the ground states of the well-known vacua in QED, QCD, et cetera. In the case of the lattice quantum gravity, the long-wavelength scale vacuum structure is similar to that in QED, moreover the quantum fluctuations of gravitational degrees of freedom are very reduced in comparison with the situation in QED. But the small scale (of the order of the lattice scale) vacuum structure in gravity is significantly different from that in the long-wavelength scales: the fluctuation values of geometrical degrees of freedom (tetrads) are commensurable with theirs most probable values. It is also shown that the macroscopic Universe can exist only in the presence of fermion fields. In this case, spontaneous breaking of the PT symmetry occurs.

结果表明，晶格量子引力的基态或真空与 QED、QCD 等中众所周知的真空的基态有显着差异。在晶格量子引力的情况下，长波长尺度的真空结构与QED中的类似，而且与QED中的情况相比，引力自由度的量子涨落非常小。但是重力中小尺度（晶格尺度）的真空结构与长波长尺度的真空结构明显不同：几何自由度（四分体）的波动值与其最可能的值相称。还表明宏观宇宙只能存在于费米子场中。在这种情况下，PT 的自发断开 发生对称。