Summing over spacetime dimensions in quantum gravity

TL;DR

This paper demonstrates that quantum gravity corrections to a scalar particle propagator can be understood as a sum over all higher spacetime dimensions, each evaluated without quantum gravity effects.

Contribution

It introduces a novel interpretation of quantum gravity corrections as a summation over dimensions, linking minimal length effects to higher-dimensional spacetime sums.

Findings

Quantum gravity corrections correspond to summing over all higher dimensions.

The minimal length effect arises from higher-dimensional contributions.

The approach provides a new perspective on quantum gravity effects in field theory.

Abstract

Quantum-gravity corrections (in the form of a minimal length) to the Feynman propagator for a free scalar particle in $\mathbb{R}^D$ are shown to be the result of summing over all dimensions $D'\geq D$ of $\mathbb{R}^{D'}$, each summand taken in the absence of quantum gravity.