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A Short Review of Loop Quantum Gravity
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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.
Forward citations
Cited by 14 Pith papers
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Probing Gravity -- Fundamental Aspects of Metric Theories and their Implications for Tests of General Relativity
Gravitational wave memory is shown to arise naturally from the Isaacson backreaction formalism in general metric theories of gravity, unifying null and ordinary memory and providing a memory formula valid beyond GR.
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Fermi Acceleration Mechanisms Beyond Lorentz Symmetry
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Gravitational Wave Generation and Detection in Gravitational Quantum Field Theory
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The one-loop effective action from the coherent state path integral of loop quantum gravity
The one-loop effective action from the LQG coherent state path integral is computed and found to be UV-finite, with the dynamical area j0 > 0 at the quantum level.
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Constraining polymerized black holes with quasi-circular extreme mass-ratio inspirals
A future LISA observation of an extreme-mass-ratio inspiral around a polymerized black hole could constrain the quantum parameter k-hat to about 0.003, roughly two orders of magnitude tighter than current black hole s...
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(2+1) Lorentzian quantum cosmology from spin-foams: opportunities and obstacles for semi-classicality
A 2+1 Lorentzian spin-foam cosmology model with a Hessian-derived measure and a massive scalar field yields convergent partition functions, with semi-classical expectation values only in the causally regular sector an...
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Inflation in unimodular loop quantum cosmology
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Within the Einstein-Weyl truncation, asymptotically safe gravity predicts a Weyl coefficient m_2 = 1.4 m_Pl, which constrains the phase diagram of compact objects: attractive naked singularities are disfavored while w...
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Complex degenerate metrics in general relativity: a covariant extension of the Moore-Penrose algorithm
A covariant Moore-Penrose algorithm for complex degenerate metrics is formulated, but its uniqueness and torsion interpretation depend on an arbitrary auxiliary metric and the central proof is incomplete.
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Energy Extraction from Loop Quantum Black Holes: The Role of Magnetic Penrose Process and Quantum Gravity Effects with Astrophysical Insights
In the rotating loop quantum black hole spacetime, the maximum magnetic Penrose process efficiency decreases with the quantum parameter epsilon, from 20.7% at epsilon=0 to about 19.3% at the maximal spin for epsilon=0.3.
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Quasinormal Modes and Dynamical Evolution of Scalar Fields in the Einstein-Bumblebee Theory with a Cosmological Constant
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Testing loop quantum gravity by quasi-periodic oscillations: rotating blackholes
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