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On the Possibility of Quantum Gravity Emerging from Geometry

Jaume Gine

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.

On the Possibility of Quantum Gravity Emerging from Geometry

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.
Paper Structure (11 sections, 37 equations)

This paper contains 11 sections, 37 equations.

Table of Contents

  1. Introduction
  2. Emergent GUP from Horizon Geometry
  3. Quantum dynamics from uncertainty minimization
  4. From this Schrödinger equation to the modified semiclassical gravity
  5. Emergent Schrödinger Dynamics from Geometric Noise
  6. Quantization of fields on multifractal backgrounds
  7. Entropic Gravity Connection
  8. Emergent gravity from multifractal thermodynamics
  9. Heat flux and energy--momentum tensor
  10. Area change and Raychaudhuri equation
  11. Conclusions