Quantizing Geometry or Geometrizing the Quantum?

TL;DR

This paper explores whether geometry could be more fundamental than quantum mechanics in gravity, proposing a toy model where quantum laws emerge from geometric principles, emphasizing the role of configuration space.

Contribution

It introduces a toy model suggesting quantum laws can arise from geometric theories, challenging traditional quantization approaches in gravity.

Findings

Proposes a geometric foundation for quantum laws in gravity

Highlights the importance of configuration space in formulating the model

Suggests a new perspective on the emergence of quantum mechanics from geometry

Abstract

The unsatisfactory status of the search for a consistent and predictive quantization of gravity is taken as motivation to study the question whether geometrical laws could be more fundamental than quantization procedures. In such an approach the quantum mechanical laws should emerge from the geometrical theory. A toy model that incorporates the idea is presented and its necessary formulation in configuration space is emphasized.