Interpretation of quantal manifolds

TL;DR

This paper introduces a universal framework in quantum gravity that generalizes spacetime manifolds as equilibrium states under a universal diffeomorphism group, unifying various previous approaches.

Contribution

It proposes a universal construction encompassing spacetime manifolds as equilibrium states, integrating many prior proposals into a single coherent framework.

Findings

Spacetime manifolds are special equilibrium states within the universal structure.

The framework unifies multiple quantum gravity proposals.

The approach emphasizes the role of the universal diffeomorphism group.

Abstract

In quantum gravity, one looks for alternative structures to spacetime physics than ordinary real manifolds. Here, we propose an alternative universal construction containing the latter as an equilibrium state under the action of the universal diffeomorphism group. Our theory contains many other previous proposals in the literature as special cases. However, the crucial point we make is that those have to be appreciated in the universal context developed here.