Unboundedness of triad-like operators in loop quantum gravity

2005/05/08 by Johannes Brunnemann, J Brunnemann, T Thiemann +1 · 4 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Operator Algebra Research #Curvature #Gravitational singularity #Loop (graph theory) #Loop quantum cosmology #Loop quantum gravity #Noncommutative and Quantum Gravity Theories #Quantum #Quantum gravity #Semiclassical gravity #Spin foam #astro-ph #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1088/0264-9381/23/5/002

published as Class.Quant.Grav. 23 (2006) 1429-1484 · 57 pages, 19 figures

arxiv created 2005/05/08 · openalex publication_date 2006/02/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this paper we deliver the proofs for the claims, made in a companion paper, concerning the avoidance of cosmological curvature singularities in full loop quantum gravity (LQG).

Citations

• Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity
• On (cosmological) singularity avoidance in loop quantum gravity
• Loop Quantum Gravity
• Lectures on Loop Quantum Gravity

Cited by

• Effective constraints of loop quantum gravity
• Probing the cosmological singularity with a particle
• Shortcomings of the big bounce derivation in loop quantum cosmology
• Loop quantum gravity [wikipedia]