Spontaneous Dimensional Reduction in Short-Distance Quantum Gravity?

TL;DR

This paper reviews evidence and presents an argument that quantum gravity at extremely short distances effectively reduces to two dimensions, proposing a new approach to understanding quantum gravity at the Planck scale.

Contribution

It introduces an additional argument based on the strong-coupling limit of the Wheeler-DeWitt equation supporting dimensional reduction in quantum gravity.

Findings

Quantum gravity may behave as a two-dimensional theory at short distances

Strong-coupling limit of Wheeler-DeWitt supports dimensional reduction

Suggests a novel approach to Planck-scale quantum gravity

Abstract

Several lines of evidence suggest that quantum gravity at very short distances may behave effectively as a two-dimensional theory. I summarize these hints, and offer an additional argument based on the strong-coupling limit of the Wheeler-DeWitt equation. The resulting scenario suggests a novel approach to quantum gravity at the Planck scale.