In this paper, an open quantum system theory for spinfoams is developed. This new formalism aims at deriving an effective Lindblad equation to compute the reduced dynamics of a quantum gravitational field. The system parameters are determined from numerical ab initio calculations, based on the spinfoam formalism. This theoretical proposal is illustrated by means of examples. The decoherence effect can induce the relaxation of the quantum gravitational state toward a sate of a small area. This is analogue to the well-known Purcell relaxation of QED, for which the qubits are replaced by the spin-network representation of the gravitational field. Some thermodynamic properties of these systems are computed, and several issues with the thermal time hypothesis are underlined. Moreover, the results suggest that further approximations can be performed to study reduced dynamics of quantum space-time.

本文提出了一种用于安息香的开放量子系统理论。这种新形式主义旨在推导有效的Lindblad方程，以计算量子引力场的简化动力学。系统参数是根据spinfoam形式主义从数值从头算计算中确定的。通过实例说明了这一理论建议。去相干效应可以引起量子引力态向小面积的状态的弛豫。这类似于众所周知的QED的Purcell弛豫，对此，量子位由重力场的自旋网络表示代替。计算了这些系统的一些热力学性质，并着重指出了有关热时间假说的几个问题。而且，