Effective constraint algebras with structure functions

TL;DR

This paper shows that fluctuations do not lead to quantum corrections in the structure functions of constrained systems, impacting the understanding of quantum gravity models, especially loop quantum gravity.

Contribution

It demonstrates that fluctuations and higher moments do not imply quantum corrections in structure functions, clarifying their role in quantum gravity models.

Findings

Fluctuations do not induce quantum corrections in structure functions.

Deformed algebras in loop quantum gravity remain reliable at the Planck scale.

Implications for space-time structure in canonical quantum gravity.

Abstract

This article presents the result that fluctuations and higher moments of a state do not imply quantum corrections in structure functions of constrained systems. Consequences for canonical quantum gravity, whose structure functions encode space-time structure, are discussed. In particular, deformed algebras found in models of loop quantum gravity provide reliable information even in the Planck regime.