Background independence in a nutshell
Carlo Rovelli, Daniele Colosi, Luisa Doplicher, Winston Fairbairn, Leonardo Modesto, Karim Noui
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.
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