A semiclassical tetrahedron

Abstract

We construct a macroscopic semiclassical state state for a quantum tetrahedron. The expectation values of the geometrical operators representing the volume, areas and dihedral angles are peaked around assigned classical values, with vanishing relative uncertainties.

10 pages; v2 revised version

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• The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
• LQG propagator from the new spin foams
• The length operator in Loop Quantum Gravity
• Quantum geometry from phase space reduction
• The complete LQG propagator: II. Asymptotic behavior of the vertex
• Stepping out of Homogeneity in Loop Quantum Cosmology
• Group Integral Techniques for the Spinfoam Graviton Propagator
• Holomorphic Factorization for a Quantum Tetrahedron
• Lorentzian spinfoam propagator
• Semiclassical Mechanics of the Wigner 6j-Symbol
• Numerical evidence of regularized correlations in spin foam gravity
• A curvature operator for LQG
• LQG propagator: III. The new vertex
• A Discrete and Coherent Basis of Intertwiners
• The perturbative Regge-calculus regime of Loop Quantum Gravity
• Quantum Spacetime on a Quantum Simulator
• Numerical indications on the semiclassical limit of the flipped vertex
• Efficient Simulation of Loop Quantum Gravity -- A Scalable Linear-Optical Approach
• Complex critical points in Lorentzian spinfoam quantum gravity: 4-simplex amplitude and effective dynamics on double-${\Delta }_3$ complex
• Asymptotics of LQG fusion coefficients
• Grasping rules and semiclassical limit of the geometry in the Ponzano-Regge model
• Physical boundary state for the quantum tetrahedron
• Intertwiner dynamics in the flipped vertex
• Tensorial Structure of the LQG graviton propagator
• Evaluation of new spin foam vertex amplitudes
• A "Helium Atom" of Space: Dynamical Instability of the Isochoric Pentahedron
• Quantum tetrahedron and its classical limit