Gravitational Dynamics from Multifractal Geometry

Abstract

Emergent gravity builds upon the formal connection between classical Thermodynamics and the field equations of General Relativity. Drawing from the thermodynamic interpretation of multifractals, we speculate here that gravitational dynamics follows from the multifractal geometry of spacetime far above the Fermi scale. Our brief report suggests that a) informational entropy corresponds to the Beckenstein-Hawking entropy and b), Newton’s constant corresponds to the information dimension, a defining attribute of multifractal scaling.