Background independence in a nutshell

Abstract

We study how physical information can be extracted from a background independent quantum system. We use an extremely simple `minimalist' system that models a finite region of 3d euclidean quantum spacetime with a single equilateral tetrahedron. We show that the physical information can be expressed as a boundary amplitude. We illustrate how the notions of "evolution" in a boundary proper-time and "vacuum" can be extracted from the background independent dynamics.

19 pages, 19 figures

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• Multiple-event probability in general-relativistic quantum mechanics
• Euclidean three-point function in loop and perturbative gravity
• Numerical analysis of the self-energy in covariant Loop Quantum Gravity
• Spinfoam Fermions: PCT Symmetry, Dirac Determinant, and Correlation Functions
• On the stability of steady general-relativistic accretion and analogue black holes
• Physical boundary state for the quantum tetrahedron
• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
• Comparing Quantum Gravity Models: String Theory, Loop Quantum Gravity, and Entanglement gravity versus $SU(\infty )$-QGR
• Background independence and field redefinitions in quantum gravity