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A short review of loop quantum gravity

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Ashtekar, Abhay, Bianchi, Eugenio·2021·Reports on Progress in Physics

Abstract

An outstanding open issue in our quest for physics beyond Einstein is the unification of general relativity (GR) and quantum physics. Loop quantum gravity (LQG) is a leading approach toward this goal. At its heart is the central lesson of GR: gravity is a manifestation of spacetime geometry. Thus, the approach emphasizes the quantum nature of geometry and focuses on its implications in extreme regimes—near the big bang and inside black holes—where Einstein’s smooth continuum breaks down. We present a brief overview of the main ideas underlying LQG and highlight a few recent advances. This report is addressed to non-experts.

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Show all 175 references

Research works printed but not linked: 7

  1. Giesel, 2017, Quantum geometry, 10.1142/9789813220003_0002 · doi:10.1142/9789813220003_0002
  2. von Neumann, 1931, Die Eindeutigkeit der Schrödingerschen operatoren, Math. Ann., 104, 570, 10.1007/BF01457956 · doi:10.1007/bf01457956
  3. Haag, 1955, Danske Vid. Selsk. Mat.-fys Medd., vol 29
  4. Garding, 1954, Proc. Natl Acad. Sci. U.S.A., 40, 622, 10.1073/pnas.40.7.622 · doi:10.1073/pnas.40.7.622
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  6. Sarkar, 2011, Missing power vs low-ℓ alignments in the cosmic microwave background: no correlation in the standard cosmological model, Astropart. Phys., 34, 591, 10.1016/j.astropartphys.2010.12.009 · doi:10.1016/j.astropartphys.2010.12.009
  7. Laddha, 2017, Quantum dynamics, 10.1142/9789813220003_0003 · doi:10.1142/9789813220003_0003

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Metadata

Authors
Ashtekar, A., & Bianchi, E.
Venue
Reports on Progress in Physics
Published
2021-03-31
Volume
84
Issue
4
Pages
042001
ISSN
  • 0034-4885 (ISSN-L)
  • 1361-6633
OpenAlex
W3133774117
Cited by
294
References
175
FWCI
17.59
Type
journal article
Language
en
Open access
green
Licence
Funders
US National Science Foundation (PHY-1806356 PHY-1806428)

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CoChat. (2026). Citation check: A short review of loop quantum gravity. https://app.cochat.ai/papers/10.1088/1361-6633/abed91
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Ashtekar, A., & Bianchi, E. (2021). A short review of loop quantum gravity. Reports on Progress in Physics. https://doi.org/10.1088/1361-6633/abed91

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