# Hamiltonian Theory: Dynamics

**Authors:** Thomas Thiemann, Kristina Giesel  
**arXiv:** [2303.18172](https://arxiv.org/abs/2303.18172)  
**Date:** 2023-03-31  
**Summary page:** https://www.summarizepaper.com/fr/arxiv-id/2303.18172v1/

## Abstract

This chapter focuses on the status of the implementation of the dynamics in the canonical version of Loop Quantum Gravity (LQG). Concretely this means to provide a mathematical meaning of the quantum Einstein equations, sometimes called Wheeler-DeWitt equations, to give a physical interpretation and Hilbert space structure to its solutions and to construct a representation of the algebra of observables including a physical Hamiltonian. This is a structural overview intentionally skipping technical details.