Proposes phase-resolved invariant path-length criteria and a master formula for lower bound on ε_ek in ekpyrotic cosmologies, using BKL suppression and conversion windows as constraints.
Loop Quantum Cosmology: A Status Report
12 Pith papers cite this work. Polarity classification is still indexing.
abstract
The goal of this article is to provide an overview of the current state of the art in loop quantum cosmology for three sets of audiences: young researchers interested in entering this area; the quantum gravity community in general; and, cosmologists who wish to apply loop quantum cosmology to probe modifications in the standard paradigm of the early universe. An effort has been made to streamline the material so that, as described at the end of section I, each of these communities can read only the sections they are most interested in, without a loss of continuity.
citation-role summary
citation-polarity summary
verdicts
UNVERDICTED 12roles
background 3polarities
background 3representative citing papers
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 signals fall below detector sensitivities.
Quadratic gravity with Weyl-squared and Ricci-squared terms produces PPN parameters that equal their GR values except for exponentially decaying corrections, with gamma identically 1 when the two mode masses are equal, yielding solar-system lower bounds m_R, m_W greater than or equal to 23 per AU.
An Einstein-Cartan ekpyrotic model with a steep-to-plateau scalar potential supports a torsion-driven nonsingular bounce in homogeneous contraction without chaotic behavior in the explored parameter space.
Proposes the information-complete quantum theory (ICQT) as a framework for quantum gravity where universal spacetime-matter entanglement serves as the sole information carrier without classical systems.
Polymer quantization on compact spaces yields finite graph Hilbert spaces whose exact ring and box spectra recover Schrödinger QM as lattice spacing vanishes.
A new LQC model with an added curvature term produces a quantum bounce that resolves the singularity at lower volume than standard LQC while preserving symmetric effective dynamics.
In a path-integral model of timeless quantum systems, time evolution arises when a clock is prepared in a semiclassical state, showing that the cosine problem in quantum gravity follows from time-reversal invariance and neutral boundary conditions.
A quasi-dust ekpyrotic two-field model in Loop Quantum Cosmology produces viable primordial power spectra via coupled scalar and tensor perturbations.
A stable initial state is identified in mLQC-I that diagonalizes the Hamiltonian and minimizes particle creation, with mode functions approximated analytically by Airy or cylindrical functions whose constants are fixed by that state.
Quantum deformation of projective phase-space geometry induces a conformally deformed FLRW metric whose time-dependent corrections modify inflationary background equations, slow-roll parameters, and perturbations in a covariant manner.
Dynamical systems analysis shows loop quantum cosmology removes stable attractors in interacting dark energy-dark matter models that exist under classical gravity.
citing papers explorer
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Phase-resolved field-space distance criteria in ekpyrotic, bouncing and cyclic cosmologies
Proposes phase-resolved invariant path-length criteria and a master formula for lower bound on ε_ek in ekpyrotic cosmologies, using BKL suppression and conversion windows as constraints.
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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 signals fall below detector sensitivities.
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Parameterized Post-Newtonian Analysis of Quadratic Gravity and Solar System Constraints
Quadratic gravity with Weyl-squared and Ricci-squared terms produces PPN parameters that equal their GR values except for exponentially decaying corrections, with gamma identically 1 when the two mode masses are equal, yielding solar-system lower bounds m_R, m_W greater than or equal to 23 per AU.
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Dynamical systems analysis of an Einstein-Cartan ekpyrotic nonsingular bounce cosmology
An Einstein-Cartan ekpyrotic model with a steep-to-plateau scalar potential supports a torsion-driven nonsingular bounce in homogeneous contraction without chaotic behavior in the explored parameter space.
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Universal Entanglement and an Information-Complete Quantum Theory
Proposes the information-complete quantum theory (ICQT) as a framework for quantum gravity where universal spacetime-matter entanglement serves as the sole information carrier without classical systems.
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Polymer quantum mechanics on compact configuration spaces
Polymer quantization on compact spaces yields finite graph Hilbert spaces whose exact ring and box spectra recover Schrödinger QM as lattice spacing vanishes.
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Effective dynamics of a homogeneous and isotropic universe with quantum curvature
A new LQC model with an added curvature term produces a quantum bounce that resolves the singularity at lower volume than standard LQC while preserving symmetric effective dynamics.
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The problem of time: a path integral view
In a path-integral model of timeless quantum systems, time evolution arises when a clock is prepared in a semiclassical state, showing that the cosine problem in quantum gravity follows from time-reversal invariance and neutral boundary conditions.
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Quasi-dust ekpyrotic scenario in Loop Quantum Cosmology
A quasi-dust ekpyrotic two-field model in Loop Quantum Cosmology produces viable primordial power spectra via coupled scalar and tensor perturbations.
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Stable initial conditions and analytical investigations of cosmological perturbations in a modified loop quantum cosmology
A stable initial state is identified in mLQC-I that diagonalizes the Hamiltonian and minimizes particle creation, with mode functions approximated analytically by Airy or cylindrical functions whose constants are fixed by that state.
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Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime
Quantum deformation of projective phase-space geometry induces a conformally deformed FLRW metric whose time-dependent corrections modify inflationary background equations, slow-roll parameters, and perturbations in a covariant manner.
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Classical and Loop Quantum Cosmology of Interacting Dark Energy: A Dynamical System Analysis with Superfluid Dark Matter and Dust Matter
Dynamical systems analysis shows loop quantum cosmology removes stable attractors in interacting dark energy-dark matter models that exist under classical gravity.