A Model of Spinfoam Coupled with an Environment

TL;DR

This paper develops an open quantum system framework for spinfoams, deriving an effective Lindblad equation to analyze the reduced dynamics of quantum gravity, revealing decoherence effects and thermodynamic properties.

Contribution

It introduces a novel formalism coupling spinfoams with environment theory, enabling the study of quantum gravitational decoherence and thermodynamics.

Findings

Decoherence induces relaxation of quantum gravitational states.

Thermodynamic properties of quantum spacetime are computed.

Results highlight issues with the thermal time hypothesis.

Abstract

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.