Pure Shape Dynamics (Tim Koslowski, Technische Hochschule Würzburg-Schweinfurt )

The universe as a whole contains all reference objects and processes as internal elements and must therefore admit a purely relational description. Pure Shape Dynamics is a concrete formulation of a completely relational description of a physical system. The main postulate is that the dynamics of the system can be described as an equation of state of the local differential geometry of the system’s pure curve in relational configuration space. I will first illustrate this principle using a simple dynamical system to highlight the main features of the Pure Shape Dynamics approach. I will then show how General Relativity can be reformulated to align with these foundational principles, and proceed to present the explicit Pure Shape Dynamics description of General Relativity.