Quantum Shape Kinematics

TL;DR

This paper explores the extension of shape dynamics, a theory focusing on reduced configuration space, into quantum mechanics, revealing that spacetime curvature introduces new quantum degrees of freedom in multi-qubit systems.

Contribution

It proposes a novel approach to integrate shape dynamics with quantum mechanics, highlighting the impact of spacetime curvature on quantum degrees of freedom.

Findings

Spacetime curvature introduces new qubit degrees of freedom.

Shape dynamics can be extended to quantum systems.

Potential for a new research program in quantum shape dynamics.

Abstract

Shape dynamics is a theory first proposed by Julian Barbour which states that physics happen uniquely in the reduced configuration space of a theory. So far, studies in the area have focused on gravitational systems. Here we first contemplate on the implications of this idea on quantum mechanics. We summarize the idea of shape dynamics and then give physical configurations of multi qubit systems. It is observed that inclusion of the spacetime curvature introduces a new qubit degree of freedom. This is a novel effect of general relativity on a quantum system. Our aim in the grand picture, is to initiate a research program translating classical shape dynamics to quantum realm.