Differences and similarities between Shape Dynamics and General Relativity

TL;DR

This paper compares Shape Dynamics and General Relativity, highlighting their differences, symmetry trading in electromagnetism, and exploring new quantization methods inspired by SD.

Contribution

It clarifies key differences between SD and related theories, and introduces novel quantization strategies inspired by SD.

Findings

Illustrates symmetry trading in electromagnetism

Highlights differences between SD and General Relativity

Proposes new quantization strategies inspired by SD

Abstract

The purpose of this contribution is to elucidate some of the properties of Shape Dynamics (SD) and is largely based on a recent longer article. We shall point out some of the key differences between SD and related theoretical constructions, illustrate the central mechanism of symmetry trading in electromagnetism and finally point out some new quantization strategies inspired by SD. We refrain from describing mathematical detail and from citing literature. For both we refer to the longer article.