On the emergence of gravity in a framework of emergent quantum mechanics

TL;DR

This paper explores how gravity might emerge from a quantum mechanics framework called Hamilton-Randers theory, deriving fundamental principles and connecting to Newtonian and modified gravity models.

Contribution

It introduces Hamilton-Randers theory as a basis for emergent gravity, deriving the weak equivalence principle and linking to Newtonian and MOND-like models.

Findings

Derivation of the weak equivalence principle from Hamilton-Randers theory

Consistency of Newtonian and certain modified gravity models with the theory

Potential of Hamilton-Randers theory to serve as a foundation for realistic modified gravity models

Abstract

In this work we consider the emergent origin of gravity in the framework of Hamilton-Randers theory, a theoretical framework for emergent quantum mechanics. After presenting the essential ingredients of the theory, a derivation of the weak equivalence principle from the first principles of the theory follows. Then it is shown that the Newtonian model of gravity and certain modified gravity models are consistent with Hamilton-Randers theory. One of these models has strong formal resemblance with MOND, providing further ground to think that Hamilton-Randers theory could be a natural theoretical frame for realistic modified gravity models.