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A Short Review of Loop Quantum Gravity
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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 16 Pith papers
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A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity
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A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity
A matrix-free action of the SU(2) AL vertex volume operator is formulated via the Brunnemann-Thiemann Q_v expression and Balakrishnan-Stieltjes representation approximated by shifted-resolvent quadrature, with exact k...
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Typical entanglement entropy with charge conservation
Typical entanglement entropy with fixed global charge is given by the local thermal entropy at fixed charge density for both U(1) and SU(2) symmetries in the thermodynamic limit.
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Toller matrices and the Feynman $i\varepsilon$ in spinfoams
Toller matrices T^(±) in causal spinfoam amplitudes satisfy T^(+) + T^(-) = D and admit equivalent definitions via analyticity, iε prescription, and boost-eigenvalue integrals that reproduce the Euclidean-to-Lorentzia...
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Spherically symmetric solutions in quasi-local Einstein-Weyl gravity
In quasi-local Einstein-Weyl gravity, static spherically symmetric Frobenius solutions are classified: regular cores only, Schwarzschild-like horizons and wormhole throats, plus asymptotic 1/r^6 corrections to Schwarzschild.
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Collective excitations in quantum gravity condensates
Collective excitations analogous to phonons are derived in quantum gravity condensates within a group field theory model, yielding leading beyond-mean-field corrections to emergent Friedmann dynamics.
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Emergent Thiemann coherent states in the near-kernel sector of quantum reduced loop gravity
Variational minimization of the squared Hamiltonian constraint in a truncated one-vertex loop gravity model yields three classes of near-kernel states; one factorized branch matches reduced Thiemann coherent states wi...
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Minimum lifetime of a black hole
A minimum purification time for evaporating black holes is derived as scaling with M0^4/hbar^{3/2}, becoming exponential in initial area under a metastability assumption for Planck-scale holes, implying white-hole remnants.
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Particle motions and gravitational waveforms in rotating black hole spacetimes of loop quantum gravity
The LQG parameter ξ enlarges equatorial bound orbit energy ranges, confines off-equatorial trajectories, and produces larger deviations from Kerr waveforms in EMRI models for two rotating LQG black holes, though signa...
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Quantum gravitational stellar evolution beyond shell-crossing singularities
A Hamiltonian formulation of Darmois-Israel junction conditions extends LQG-inspired stellar collapse models beyond shell-crossing singularities by treating them as timelike thin dust shells, yielding an inter-univers...
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Fermi Acceleration Mechanisms Beyond Lorentz Symmetry
Fermi-accelerated cosmic-ray spectra acquire energy-dependent spectral indices under κ-Poincaré-deformed or Lorentz-violating kinematics, with a -2 to -3 index transition in the classical basis.
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Spinfoams, $\gamma$-duality and parity violation in primordial gravitational waves
γ-duality in the EPRL spinfoam model determines the relation between parity-even and parity-odd terms in an effective gravity theory, allowing the Barbero-Immirzi parameter to be measured from inflationary tensor observables.
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Inflation in unimodular loop quantum cosmology
In unimodular loop quantum cosmology, an α-attractor potential allows a potential-energy-dominated bounce at the Planck scale that is consistent with CMB observations and may show quantum-gravity imprints.
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Quasinormal modes of a rotating loop quantum black hole
Quasinormal modes of a massless scalar field on a rotating loop quantum black hole background exhibit reduced real frequencies and damping rates with increasing quantum corrections, with rotation introducing crossover...
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Probing modified gravitational-wave dispersion with bursts from eccentric black-hole binaries
Applies parameterized dispersion to eccentric BBH burst waveforms, deriving a 2.5PN time-delay correction and Bessel amplitude modulation, then uses Fisher matrix to project LIGO constraints that are stronger than cur...
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Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$
EHT observations of Sgr A* constrain deviations from GR black hole solutions including regular BHs, string-inspired spacetimes, and BH mimickers, with some limits exceeding cosmological bounds.
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