Decoherent Histories of Spin Networks

TL;DR

This paper develops a decoherence functional for loop gravity within the decoherent histories framework, showing that coarse-grained histories tend to follow quasiclassical trajectories in the appropriate limit.

Contribution

It introduces a decoherence functional for loop gravity and interprets existing results as demonstrating quasiclassical behavior of coarse-grained histories.

Findings

Coarse-grained histories follow quasiclassical trajectories

A new decoherence functional for loop gravity is proposed

Existing results support quasiclassical limits in loop gravity

Abstract

The decoherent histories formalism, developed by Griffiths, Gell-Mann, and Hartle is a general framework in which to formulate a timeless, `generalised' quantum theory and extract predictions from it. Recent advances in spin foam models allow for loop gravity to be cast in this framework. In this paper, I propose a decoherence functional for loop gravity and interpret existing results as showing that coarse grained histories follow quasiclassical trajectories in the appropriate limit.