Non-relativistic Gravity in Entropic Quantum Dynamics

TL;DR

This paper investigates symmetries in entropic quantum dynamics, demonstrating how extended Galilean transformations relate to non-relativistic gravity and the equivalence principle through information-based reasoning.

Contribution

It introduces conditions for symmetries in entropic quantum dynamics and applies them to extended Galilean transformations, linking non-inertial frames to gravity via information equivalence.

Findings

Extended Galilean transformations exhibit features of relativity.

Gravity emerges naturally from information equivalence in non-inertial frames.

Symmetry conditions constrain transformations in entropic quantum dynamics.

Abstract

Symmetries and transformations are explored in the framework of entropic quantum dynamics. Two conditions arise that are required for any transformation to qualify as a symmetry. The heart of this work lies in the application of these conditions to the extended Galilean transformation, which admits features of both special and general relativity. The effective gravitational potential that arises in a non-inertial frame through the strong equivalence principle arises naturally through an equivalence of information.