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arxiv: 1012.4707 · v5 · submitted 2010-12-21 · 🌀 gr-qc · hep-th

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Loop quantum gravity: the first twenty five years

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classification 🌀 gr-qc hep-th
keywords gravityquantumgiveloopaimsapproachesattemptclassical
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This is a review paper invited by the journal "Classical ad Quantum Gravity" for a "Cluster Issue" on approaches to quantum gravity. I give a synthetic presentation of loop gravity. I spell-out the aims of the theory and compare the results obtained with the initial hopes that motivated the early interest in this research direction. I give my own perspective on the status of the program and attempt of a critical evaluation of its successes and limits.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Canonical quantization of all minisuperspaces with consistent symmetry reductions

    gr-qc 2026-05 unverdicted novelty 5.0

    Canonical quantization of all consistent symmetry reductions of the Einstein-Hilbert Lagrangian, with solutions to the Wheeler-DeWitt equation both with and without imposed conformal symmetries.

  2. Canonical quantization of all minisuperspaces with consistent symmetry reductions

    gr-qc 2026-05 unverdicted novelty 5.0

    All minisuperspaces from symmetry reductions of the Einstein-Hilbert Lagrangian that obey the principle of symmetric criticality are canonically quantized and their Wheeler-DeWitt equations are solved.