On the Possibility of Quantum Gravity Emerging from Geometry

TL;DR

This paper explores the potential for quantum gravity to emerge from geometric principles, proposing that an effective generalized uncertainty principle can be derived from horizon geometry, suggesting a geometric origin for quantum gravitational effects.

Contribution

It introduces a framework where quantum gravity and the generalized uncertainty principle arise naturally from microscopic horizon geometry, offering a geometric perspective on quantum gravity.

Findings

Effective GUP can be induced from horizon geometry

Quantum gravity may emerge from geometric principles

Supports a geometric interpretation of quantum gravitational effects

Abstract

Is it possible to induce an effective generalized uncertainty principle (GUP) emerging from geometry and reinterpret the gravitational GUP as the effective uncertainty relation induced by microscopic horizon geometry? More broadly, is it possible to develop a notion of quantum gravity emerging from geometry? We will give a positive answer, but with important caveats.