Simplification of the spectral analysis of the volume operator in loop quantum gravity

DOI10.1088/0264-9381/23/4/014zbMath1089.83013arXivgr-qc/0405060OpenAlexW2015561501MaRDI QIDQ3377883

Thomas Thiemann, Johannes Brunnemann

Publication date: 29 March 2006

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0405060

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

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Towards anisotropic cosmology in group field theory ⋮ Canonical quantum gravity on noncommutative space–time ⋮ No invariant perfect qubit codes ⋮ Review on hermiticity of the volume operators in loop quantum gravity ⋮ Primordial gravity waves in a rainbow background ⋮ Dynamics of anisotropies close to a cosmological bounce in quantum gravity ⋮ The Holst spin foam model via cubulations ⋮ Loop quantum cosmology ⋮ Properties of the Rovelli–Smolin–DePietri volume operator in the spaces of monochromatic intertwiners ⋮ Loop quantum cosmology ⋮ The length operator in loop quantum gravity ⋮ Volume entropy ⋮ Probing the shape of quantum surfaces: the quadrupole moment operator ⋮ Cosmological implications of the hydrodynamical phase of group field theory ⋮ The higher transvectants are redundant ⋮ Cosmological coherent state expectation values in loop quantum gravity I. Isotropic kinematics ⋮ Emergent cosmology from quantum gravity in the Lorentzian Barrett-Crane tensorial group field theory model

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