Gravitation as a Quantum Diffusion

TL;DR

This paper proposes a novel interpretation of gravity as an inhomogeneity in quantum diffusion, deriving Einstein's equations from a stochastic diffusion framework in a Riemannian manifold.

Contribution

It introduces a model where gravitation emerges from inhomogeneous quantum diffusion, connecting stochastic processes with Einstein's equations.

Findings

Gravity can be modeled as inhomogeneity in quantum diffusion.

Einstein equations can be derived from the diffusion tensor as a metric.

Matter influences the stochastic background energy density.

Abstract

Inhomogeneous Nelson's diffusion in flat spacetime with a tensor of diffusion can be described as a homogeneous one in a Riemannian manifold with this tensor of diffusion as a metric tensor. The influence of matter to the energy density of the stochastic background (vacuum) is considered. It is shown that gravitation can be represented as inhomogeneity of the quantum diffusion, the Einstein equations for the metrics can be derived as the equations for the corresponding tensor of diffusion.