Probabilistic Spacetimes

TL;DR

Probabilistic Spacetimes extend classical spacetime models by incorporating multiple metric realizations with associated probabilities, aiming to bridge classical and quantum gravity approaches.

Contribution

This paper introduces the concept of Probabilistic Spacetimes as a novel generalization of classical models, facilitating the study of quantum gravity effects.

Findings

Provides a framework for probabilistic metrics in spacetime

Suggests applications in quantum gravity and discretized geometries

Lays groundwork for effective probabilistic geometric models

Abstract

Probabilistic Spacetime is a simple generalization of the classical model of spacetime in General Relativity, such that it allows to consider multiple metric field realizations endowed with probabilities. The motivation for such a generalization is a possible application in the context of some quantum gravity approaches, particularly those using the path integral. It is argued that this model might be used to describe simplified geometry, resulting e.g. from discretization, while keeping the continuous manifold; or it may be used as an effective description of a probabilistic geometry resulting from a full-fledged quantum gravity computation.