Analog model for quantum gravity effects: phonons in random fluids

TL;DR

This paper presents an analog model using phonons in a random fluid to simulate quantum gravity effects, transforming a free phonon theory into a self-interacting quantum field theory through noise averaging.

Contribution

It introduces a novel condensed matter analog model for quantum gravity effects by analyzing phonons in a fluid with random fluctuations, leading to a self-interacting field theory.

Findings

Random fluctuations induce self-interactions in phonon field theory.

Gaussian colored noise modifies phonon propagation.

Model provides a new approach to simulate quantum gravity phenomena.

Abstract

We describe an analog model for quantum gravity effects in condensed matter physics. The situation discussed is that of phonons propagating in a fluid with a random velocity wave equation. We consider that there are random fluctuations in the reciprocal of the bulk modulus of the system and study free phonons in the presence of Gaussian colored noise with zero mean. We show that in this model, after performing the random averages over the noise function a free conventional scalar quantum field theory describing free phonons becomes a self-interacting model.