Effective relational cosmological dynamics from Quantum Gravity
arXiv:2008.02774 · doi:10.1007/JHEP05(2021)025
Abstract
We discuss the relational strategy to solve the problem of time in quantum gravity and different ways in which it could be implemented, pointing out in particular the fundamentally new dimension that the problem takes in a quantum gravity context in which spacetime and geometry are understood as emergent. We realize concretely the relational strategy we have advocated in the context of the tensorial group field theory formalism for quantum gravity, leading to the extraction of an effective relational cosmological dynamics from quantum geometric models. We analyze in detail the emergent cosmological dynamics, highlighting the improvements over previous work, the contribution of the quantum properties of the relational clock to it, and the interplay between the conditions ensuring a bona fide relational dynamics throughout the cosmological evolution and the existence of a quantum bounce resolving the classical big bang singularity.
arXiv comment31 pages, 1 figure
References in corpus (46)
- The Dynamics of General Relativity
- Background Independent Quantum Gravity: A Status Report
- Loop Quantum Cosmology: A Status Report
- The Spin Foam Approach to Quantum Gravity
- Nonperturbative Quantum Gravity
- Partial and Complete Observables for Hamiltonian Constrained Systems
- Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
- Partial and Complete Observables for Canonical General Relativity
- Observables in effective gravity
- Spacetime as a Feynman diagram: the connection formulation
- Homogeneous cosmologies as group field theory condensates
- Some remarks on the notions of general covariance and background independence
- Reduced Phase Space Quantization and Dirac Observables
- An effective approach to the problem of time
- Effective approach to the problem of time: general features and examples
- Emergent Friedmann dynamics with a quantum bounce from quantum gravity condensates
- The universe as a quantum gravity condensate
- Quantum Gravity on the Lattice
- Large quantum gravity effects: Unexpected limitations of the classical theory
- Critical evaluation of common claims in loop quantum cosmology
- Singularity resolution depends on the clock
- Consistent Loop Quantum Cosmology
- Effective Constraints for Quantum Systems
- Cosmological implications of interacting Group Field Theory models: cyclic Universe and accelerated expansion
- Quantization maps, algebra representation and non-commutative Fourier transform for Lie groups
- Effective relational dynamics of a nonintegrable cosmological model
- How to switch between relational quantum clocks
- Quantum cosmology from quantum gravity condensates: cosmological variables and lattice-refined dynamics
- Semiclassical States for Constrained Systems
- Quantum Cosmology: Effective Theory
- Emergence of a low spin phase in group field theory condensates
- Group field theory for quantum gravity minimally coupled to a scalar field
- Group field theory condensate cosmology: An appetizer
- A relational Hamiltonian for group field theory
- Quantum cosmology of (loop) quantum gravity condensates: An example
- Lattice Refining LQC and the Matter Hamiltonian
- Impact of nonlinear effective interactions on GFT quantum gravity condensates
- Relational evolution of effectively interacting GFT quantum gravity condensates
- Statistical Equilibrium in Quantum Gravity: Gibbs states in Group Field Theory
- Inhomogeneous universe from group field theory condensate
- Generalised effective cosmology from group field theory
- Cosmological evolution as squeezing: a toy model for group field cosmology
- Thermal quantum gravity condensates in group field theory cosmology
- Coupling and thermal equilibrium in general-covariant systems
- Coherent states for quantum gravity: towards collective variables
- Challenges in recovering a consistent cosmology from the effective dynamics of loop quantum gravity
Cited by in corpus (30)
- Quantum fluctuations in the effective relational GFT cosmology
- Emergent Cosmology from Quantum Gravity in the Lorentzian Barrett-Crane Tensorial Group Field Theory Model
- Phantom-like dark energy from quantum gravity
- Mean-field phase transitions in TGFT quantum gravity
- Effective dynamics of scalar cosmological perturbations from quantum gravity
- The Complete Barrett-Crane Model and its Causal Structure
- Quantum gravity states, entanglement graphs and second-quantized tensor networks
- Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models
- Frozen formalism and canonical quantization in group field theory
- Big Bang Singularity Resolution In Quantum Cosmology
- Phase transitions in tensorial group field theories: Landau-Ginzburg analysis of models with both local and non-local degrees of freedom
- Mutual information harvested by uniformly accelerated particle detectors
- Towards anisotropic cosmology in group field theory
- Scalar Cosmological Perturbations from Quantum Entanglement within Lorentzian Quantum Gravity
- Scalar Cosmological Perturbations from Quantum Gravitational Entanglement
- Generalised Gaussian states in group field theory and quantum cosmology
- Cosmology in Lorentzian Regge calculus: causality violations, massless scalar field and discrete dynamics
- Noncommutative Effective LQC: inclusion of potential term
- Geometrogenesis in GFT: An Analysis
- Relational dynamics and Page-Wootters formalism in group field theory
- GPS Observables in Newtonian Spacetime or Why We Do Not Need 'Physical' Coordinate Systems
- Spherically-symmetric geometries in a matter reference frame as quantum gravity condensates
- Hilbert space formalisms for group field theory
- Foundational Issues in Group Field Theory
- Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives
- A Fock space structure for the diffeomorphism invariant Hilbert space of loop quantum gravity and its applications
- Cosmological implications of the hydrodynamical phase of group field theory
- (2+1) Lorentzian quantum cosmology from spin-foams: opportunities and obstacles for semi-classicality
- Time is Order
- Effective cosmology from one-body operators in group field theory