Generalized guidance equation for peaked quantum solitons and effective gravity

TL;DR

This paper proposes a model explaining the behavior of bouncing oil droplets that mimic quantum trajectories and pseudo-gravitational effects, offering a speculative toy model for quantum gravity.

Contribution

It introduces a novel model that accounts for droplet dynamics and pseudo-gravitation, providing insights into quantum-like behavior and a speculative approach to quantum gravity.

Findings

Droplets follow de Broglie-Bohm like trajectories.

Droplets exhibit pseudo-gravitational attraction and repulsion.

The model offers a toy framework for quantum gravity phenomena.

Abstract

Bouncing oil droplets have been shown to follow de Broglie-Bohm like trajectories and at the same time they exhibit attractive and repulsive pseudo-gravitation. We propose a model aimed at rendering account of these phenomenological observations. It inspires, in a more speculative approach, a toy model for quantum gravity.