Quantum Nature of the Big Bang

Abstract

Some long standing issues concerning the quantum nature of the big bang are resolved in the context of homogeneous isotropic models with a scalar field. Specifically, the known results on the resolution of the big bang singularity in loop quantum cosmology are significantly extended as follows: i) the scalar field is shown to serve as an internal clock, thereby providing a detailed realization of the `emergent time' idea; ii) the physical Hilbert space, Dirac observables and semi-classical states are constructed rigorously; iii) the Hamiltonian constraint is solved numerically to show that the big bang is replaced by a big bounce. Thanks to the non-perturbative, background independent methods, unlike in other approaches the quantum evolution is deterministic across the deep Planck regime.

arXiv commentRevtex4, 4 Pages, 2 Figures. Minor changes to match the published version in Physical Review Letters

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• Conformally Invariant Brans-Dicke Loop Quantum Cosmology: A Quantum Geometric Model of Linking Theory
• Homogeneous-isotropic sector of loop quantum gravity: new approach
• Effective LQC model for k=+1 isotropic cosmologies from spatial discretisations
• Quantum fluctuations of the compact phase space cosmology
• The Role of Entropy in the Evolutionary Quantization of the Isotropic Universe
• Alternative effective mass functions in the modified Mukhanov-Sasaki equation of loop quantum cosmology
• Evidence for Planck Luminosity Bound in Quantum Gravity
• Quantum Big-Bounce as a phenomenology of RQM in the Mini-superspace
• Quantum cosmology as a lattice in a box
• Particle Deflections around Microscopic Loop Quantum Black Holes with Rigorous Quantum Parameters
• Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives
• Dynamically implementing the $\overline{\mu }$-scheme in cosmological and spherically symmetric models in an extended phase space model
• Cosmological particle production in quantum gravity
• Universe's memory and spontaneous coherence in loop quantum cosmology
• Quantum gravity, space-time structure, and cosmology
• Beyond Einstein ... Are we all afraid of the Truth?
• Effective equations of motion for constrained quantum systems: A study of the Bianchi I loop quantum cosmology
• Singularity Resolution in Isotropic Loop Quantum Cosmology: Recent Developments
• Dark Energy as a Relic of the Vacuum-Energy Cancellation?
• RDM-stars as sources of fast radio bursts
• Ekpyrosis in Quantum Gravitational Anisotropic Bouncing Models
• Emergence of phantom cold dark matter from spacetime diffusion
• Cosmology in Loop Quantum Gravity: symmetry reduction preserving gauge degrees of freedom
• Quantum Isotropic Universe in RQM Analogy: the Cosmological Horizon
• Loop quantum cosmological model from ADM Hamiltonian
• Constraining Planck scale physics with CMB and Reionization Optical Depth
• Connection Dynamics of Reduced 5-dimensional Kaluza-Klein Theory and Its Deparametrization
• Loop quantum gravity - a short review
• Spacetime Quanta? : The Discrete Spectrum of a Quantum Spacetime Four-Volume Operator in Unimodular Loop Quantum Cosmology
• Polymer Quantization of the Isotropic Universe: comparison with the Bounce of Loop Quantum Cosmology
• A spin foam framework for the black-to-white hole transition
• Cosmological dynamics in spin-foam loop quantum cosmology: challenges and prospects
• Nonclassical cosmological dynamics in the low-energy limit of loop quantum scalar-tensor theory
• Properties of the Rovelli-Smolin-DePietri volume operator in the spaces of monochromatic intertwiners
• Quantum Gravity Wormholes and Topological Teleporter
• Cosmic tango between the very small and the very large: Addressing CMB anomalies through Loop Quantum Cosmology
• Quantum gravitational collapse as a Dirac particle on the half-line
• Quantization ambiguities and the robustness of effective descriptions of primordial perturbations in hybrid Loop Quantum Cosmology
• On the role of dissipative effects in the quantum gravitational onset of warm Starobinsky inflation in a closed universe
• Implications of single field inflation in general cosmological scenarios on the nature of dark energy given the swampland conjectures
• Non-singular non-flat universes
• Isotropic LQC and LQC--inspired Models with a massless scalar field as Generalised Brans--Dicke theories
• Time Asymmetry of Cosmic Background Evolution in Loop Quantum Cosmology
• Space-time singularities and the theory of retracts
• Basis Function Method for Numerical Loop Quantum Cosmology: The Schwarzschild Black Hole Interior
• Inverse Hamiltonian Reconstruction from Gravitational Energy Density in Curved Spacetime
• On the origin of inflation
• LQ Stars : Modifying the Tolman -- Oppenheimer -- Volkoff equations a la LQC
• Palatini approach to bouncing cosmologies and DSR-like effects
• Can Stochastic Clocks in FLRW Minisuperspace Prevent Dynamical Singularities?
• RDM-stars and related topics
• Weyl Curvature Hypothesis in light of Quantum Backreaction at Cosmological Singularities or Bounces
• On dark stars, Planck cores and the nature of dark matter
• Wormholes and Teleporters
• Non-singular Universes a la Palatini
• Effective Dynamics of Loop Quantum Kaluza-Klein Cosmology
• Entropic force and bouncing behaviour in $\kappa$-Minkowski space-time
• Space-like Singularities of General Relativity: A Phantom menace?
• Quantum Dyanmics of Loop Quantum Gravity
• Does loop quantum ${\mu }_o$ scheme permit a black hole formation?
• Combined variable field theory in FLRW cosmology
• Conceptual and Geometric Foundations for a Teleparallel Approach to Quantum Gravity
• Probing the interior of the Schwarzschild black hole using congruences: LQG vs. GUP
• Electromagnetic emission from a black-to-white hole transition -- Photospheric emission
• Space-Time Collocation Method: Loop Quantum Hamiltonian Constraints
• Tomography in Loop Quantum Cosmology
• Effective Regge-Wheeler equations of a hybrid loop quantum black hole
• A Modified Gravitational Theory of the Matter Sector of the Type $\varphi (R,T){\mathcal{L}}_m$
• Gaussian Planck Relics are Ruled-Out as Dark Matter by LIGO
• Black hole or Fuzz ball or a Loop quantum star ? Assessing the fate of a massive collapsing star
• Cosmological backreaction of heavy string states
• Black to white hole transition as a change of the topology of the event horizon
• Relativistic Kinematics of Two-Parametric Riemann Surface in Genus Two
• Cosmological Big Bounce Transition
• The Effect of a positive cosmological constant on the bounce of Loop Quantum Cosmology
• Quantum Quintom Cosmology
• Non singular M theory Universe in Loop Quantum Cosmology -- inspired Models
• Loop Quantum Cosmology of Bianchi I Model in $\bar{\mu }$ and ${\bar{\mu }}^{\prime }$ Schemes with Higher Order Holonomy Corrections
• Can thermal input from a prior universe account for relic graviton production?
• Quantum geometrical current and coherence of the open gravitation system: loop quantum gravity coupled with a thermal scalar field
• Quantisation ambiguities and the effective dynamics of scalar-tensor theories in loop quantum cosmology
• The CMB bispectrum from bouncing cosmologies
• Non-oscillating vacuum states and the quantum homogeneity and isotropy hypothesis in Loop Quantum Cosmology
• (Pre)-Inflationary Dynamics with Starobinsky Potential in Noncommutative Effective LQC
• Loop Quantum Cosmology on a Torus
• Non-standard loop quantum cosmology
• A new topological perspective of expanding space-times with applications to cosmology