[Tester la cosmologie quantique à boucles]
La cosmologie quantique à boucles prédit que les effets de la gravitation quantique résolvent la singularité du big-bang et la remplacent par un rebond cosmique. De plus, la cosmologie quantique à boucles peut aussi modifier la forme des perturbations cosmologiques primordiales, par exemple en réduisant l'énergie aux grandes échelles dans les modèles inflationnaires ou en diminuant le rapport tenseur/scalaire dans le scénario du matter bounce ; ces deux effets constituent des tests observationnels potentiels pour la cosmologie quantique à boucles. Dans cet article, je passe en revue ces prédictions, ainsi que d'autres, et aussi discute brièvement trois problèmes ouverts de la cosmologie quantique à boucles : sa relation avec la gravitation quantique à boucles, le problème trans-planckien et une possible transition d'un espace-temps lorentzien à un espace–temps euclidien autour du point de rebond.
Loop quantum cosmology predicts that quantum gravity effects resolve the big-bang singularity and replace it by a cosmic bounce. Furthermore, loop quantum cosmology can also modify the form of primordial cosmological perturbations, for example by reducing power at large scales in inflationary models or by suppressing the tensor-to-scalar ratio in the matter bounce scenario; these two effects are potential observational tests for loop quantum cosmology. In this article, I review these predictions and others, and also briefly discuss three open problems in loop quantum cosmology: its relation to loop quantum gravity, the trans-Planckian problem, and a possible transition from a Lorentzian to a Euclidean space–time around the bounce point.
Mot clés : Gravité quantique à boucles, Cosmologie quantique à boucles, Tests observationnels
Edward Wilson-Ewing 1
@article{CRPHYS_2017__18_3-4_207_0, author = {Edward Wilson-Ewing}, title = {Testing loop quantum cosmology}, journal = {Comptes Rendus. Physique}, pages = {207--225}, publisher = {Elsevier}, volume = {18}, number = {3-4}, year = {2017}, doi = {10.1016/j.crhy.2017.02.004}, language = {en}, }
Edward Wilson-Ewing. Testing loop quantum cosmology. Comptes Rendus. Physique, Volume 18 (2017) no. 3-4, pp. 207-225. doi : 10.1016/j.crhy.2017.02.004. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2017.02.004/
[1] et al. Nine-year Wilkinson microwave anisotropy probe (WMAP) observations: cosmological parameter results, Astrophys. J. Suppl., Volume 208 (2013), p. 19 | arXiv
[2] et al. Planck 2015 results. XIII. Cosmological parameters, Astron. Astrophys., Volume 594 (2016) | arXiv
[3] et al. Planck 2015 results. XVII. Constraints on primordial non-Gaussianity, Astron. Astrophys., Volume 594 (2016) | arXiv
[4] Absence of singularity in loop quantum cosmology, Phys. Rev. Lett., Volume 86 (2001), pp. 5227-5230 | arXiv
[5] Quantum nature of the Big Bang: improved dynamics, Phys. Rev. D, Volume 74 (2006) | arXiv
[6] Mathematical structure of loop quantum cosmology, Adv. Theor. Math. Phys., Volume 7 (2003), pp. 233-268 | arXiv
[7] Loop quantum cosmology, Living Rev. Relativ., Volume 11 (2008), p. 4
[8] Loop quantum cosmology: a status report, Class. Quantum Gravity, Volume 28 (2011), p. 213001 | arXiv
[9] Introduction to loop quantum cosmology, SIGMA, Volume 8 (2012) | arXiv
[10] Loop quantum cosmology: a brief review | arXiv
[11] Quantization ambiguities and bounds on geometric scalars in anisotropic loop quantum cosmology, Class. Quantum Gravity, Volume 31 (2014) | arXiv
[12] The flat FRW model in LQC: the self-adjointness, Class. Quantum Gravity, Volume 25 (2008) | arXiv
[13] Robustness of key features of loop quantum cosmology, Phys. Rev. D, Volume 77 (2008) | arXiv
[14] Further improvements in the understanding of isotropic loop quantum cosmology, Phys. Rev. D, Volume 80 (2009) | arXiv
[15] Chimera: a hybrid approach to numerical loop quantum cosmology, Class. Quantum Gravity, Volume 31 (2014) | arXiv
[16] Numerical simulations of a loop quantum cosmos: robustness of the quantum bounce and the validity of effective dynamics, Class. Quantum Gravity, Volume 31 (2014), p. 105015 | arXiv
[17] Numerical evolution of squeezed and non-Gaussian states in loop quantum cosmology, Class. Quantum Gravity, Volume 31 (2014), p. 165006 | arXiv
[18] Prescriptions in loop quantum cosmology: a comparative analysis, Phys. Rev. D, Volume 84 (2011) | arXiv
[19] Why are the effective equations of loop quantum cosmology so accurate?, Phys. Rev. D, Volume 90 (2014) | arXiv
[20] Corrections to the Friedmann equations from LQG for a universe with a free scalar field, Phys. Rev. D, Volume 78 (2008) | arXiv
[21] Loop quantum cosmology of FRW models, Phys. Rev. D, Volume 75 (2007) | arXiv
[22] Closed FRW model in loop quantum cosmology, Class. Quantum Gravity, Volume 24 (2007), pp. 2621-2636 | arXiv
[23] Loop quantum cosmology and the RW model, Phys. Rev. D, Volume 75 (2007) | arXiv
[24] Loop quantum cosmology of Bianchi I models, Phys. Rev. D, Volume 79 (2009) | arXiv
[25] Loop quantum cosmology of Bianchi type II models, Phys. Rev. D, Volume 80 (2009) | arXiv
[26] Loop quantum cosmology of Bianchi type IX models, Phys. Rev. D, Volume 82 (2010) | arXiv
[27] Loop quantum dynamics of the Schwarzschild interior, Phys. Rev. D, Volume 76 (2007) | arXiv
[28] Loop quantization of the Schwarzschild interior revisited, Class. Quantum Gravity, Volume 33 (2016) | arXiv
[29] Loop quantum cosmology of a radiation-dominated flat FLRW universe, Phys. Rev. D, Volume 90 (2014) | arXiv
[30] A. Ashtekar, T. Pawłowski, P. Singh, unpublished.
[31] The LQC evolution operator of FRW universe with positive cosmological constant, Phys. Rev. D, Volume 81 (2010) | arXiv
[32] Positive cosmological constant in loop quantum cosmology, Phys. Rev. D, Volume 85 (2012) | arXiv
[33] Anti-deSitter universe dynamics in LQC, Phys. Rev. D, Volume 77 (2008) | arXiv
[34] A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology, Phys. Rev. D, Volume 80 (2009) | arXiv
[35] Contrasting features of anisotropic loop quantum cosmologies: the role of spatial curvature, Phys. Rev. D, Volume 85 (2012) | arXiv
[36] Quantum gravitational Kasner transitions in Bianchi-I spacetime, Phys. Rev. D, Volume 86 (2012) | arXiv
[37] Effective dynamics in Bianchi type II loop quantum cosmology, Phys. Rev. D, Volume 85 (2012) | arXiv
[38] Loop quantum cosmology of Bianchi IX: effective dynamics | arXiv
[39] Phenomenological dynamics of loop quantum cosmology in Kantowski–Sachs spacetime, Phys. Rev. D, Volume 78 (2008) | arXiv
[40] Are loop quantum cosmos never singular?, Class. Quantum Gravity, Volume 26 (2009), p. 125005 | arXiv
[41] Exotic singularities and spatially curved loop quantum cosmology, Phys. Rev. D, Volume 83 (2011) | arXiv
[42] Curvature invariants, geodesics and the strength of singularities in Bianchi-I loop quantum cosmology, Phys. Rev. D, Volume 85 (2012) | arXiv
[43] Geodesic completeness and the lack of strong singularities in effective loop quantum Kantowski–Sachs spacetime | arXiv
[44] Loop quantum cosmology of FRW: a tale of two bounces, Phys. Rev. D, Volume 84 (2011) | arXiv
[45] Loop quantum cosmology with complex Ashtekar variables, Class. Quantum Gravity, Volume 32 (2015) | arXiv
[46] Loop quantum cosmology with self-dual variables, Phys. Rev. D, Volume 92 (2015) | arXiv
[47] Anisotropic loop quantum cosmology with self-dual variables, Phys. Rev. D, Volume 93 (2016) | arXiv
[48] Theory of cosmological perturbations, Phys. Rep., Volume 215 (1992), pp. 203-333
[49] Observational issues in loop quantum cosmology, Class. Quantum Gravity, Volume 31 (2014) | arXiv
[50] Loop quantum cosmology: from pre-inflationary dynamics to observations, Class. Quantum Gravity, Volume 32 (2015), p. 234001 | arXiv
[51] Separate universes in loop quantum cosmology: framework and applications, Int. J. Mod. Phys. D, Volume 25 (2016), p. 1642002 | arXiv
[52] Hamiltonian cosmological perturbation theory with loop quantum gravity corrections, Phys. Rev. D, Volume 74 (2006) | arXiv
[53] Anomaly freedom in perturbative loop quantum gravity, Phys. Rev. D, Volume 78 (2008) | arXiv
[54] Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity, Phys. Rev. D, Volume 79 (2009) | arXiv
[55] Anomaly-free scalar perturbations with holonomy corrections in loop quantum cosmology, Class. Quantum Gravity, Volume 29 (2012) | arXiv
[56] Consistency of holonomy-corrected scalar, vector and tensor perturbations in loop quantum cosmology, Phys. Rev. D, Volume 86 (2012) | arXiv
[57] Anomaly-free perturbations with inverse-volume and holonomy corrections in loop quantum cosmology, Class. Quantum Gravity, Volume 31 (2014), p. 125011 | arXiv
[58] Gauge invariance in loop quantum cosmology: Hamilton–Jacobi and Mukhanov–Sasaki equations for scalar perturbations, Phys. Rev. D, Volume 85 (2012) | arXiv
[59] Quantum cosmology: effective theory, Class. Quantum Gravity, Volume 29 (2012), p. 213001 | arXiv
[60] Observational exclusion of a consistent loop quantum cosmology scenario, Phys. Rev. D, Volume 93 (2016) | arXiv
[61] Hybrid quantization of an inflationary universe, Phys. Rev. D, Volume 86 (2012) | arXiv
[62] Hybrid quantization of an inflationary model: the flat case, Phys. Rev. D, Volume 88 (2013) | arXiv
[63] Cosmological perturbations in hybrid loop quantum cosmology: Mukhanov–Sasaki variables, Phys. Rev. D, Volume 90 (2014) | arXiv
[64] Quantum corrections to the Mukhanov–Sasaki equations, Phys. Rev. D, Volume 93 (2016) | arXiv
[65] Extension of the quantum theory of cosmological perturbations to the Planck era, Phys. Rev. D, Volume 87 (2013) | arXiv
[66] The pre-inflationary dynamics of loop quantum cosmology: confronting quantum gravity with observations, Class. Quantum Gravity, Volume 30 (2013) | arXiv
[67] Phenomenology with fluctuating quantum geometries in loop quantum cosmology | arXiv
[68] Primordial power spectra for scalar perturbations in loop quantum cosmology, J. Cosmol. Astropart. Phys., Volume 1606 (2016) | arXiv
[69] Hybrid quantum Gowdy cosmology: combining loop and Fock quantizations, Phys. Rev. D, Volume 78 (2008) | arXiv
[70] Inhomogeneous loop quantum cosmology: hybrid quantization of the Gowdy model, Phys. Rev. D, Volume 82 (2010) | arXiv
[71] Hybrid quantization: from Bianchi I to the Gowdy model, Phys. Rev. D, Volume 82 (2010) | arXiv
[72] Matter in inhomogeneous loop quantum cosmology: the Gowdy model, Phys. Rev. D, Volume 83 (2011) | arXiv
[73] Quantum field theory on a cosmological, quantum space–time, Phys. Rev. D, Volume 79 (2009) | arXiv
[74] A length operator for canonical quantum gravity, J. Math. Phys., Volume 39 (1998), pp. 3372-3392 | arXiv
[75] The length operator in loop quantum gravity, Nucl. Phys. B, Volume 807 (2009), pp. 591-624 | arXiv
[76] New length operator for loop quantum gravity, Phys. Rev. D, Volume 81 (2010) | arXiv
[77] Nonlinear evolution of long wavelength metric fluctuations in inflationary models, Phys. Rev. D, Volume 42 (1990), pp. 3936-3962
[78] A new approach to the evolution of cosmological perturbations on large scales, Phys. Rev. D, Volume 62 (2000) | arXiv
[79] Loop quantum cosmology and inhomogeneities, Gen. Relativ. Gravit., Volume 38 (2006), pp. 1771-1795 | arXiv
[80] Loop quantum cosmology: holonomy corrections to inflationary models, J. Cosmol. Astropart. Phys., Volume 0901 (2009) | arXiv
[81] Holonomy corrections in the effective equations for scalar mode perturbations in loop quantum cosmology, Class. Quantum Gravity, Volume 29 (2012) | arXiv
[82] Lattice loop quantum cosmology: scalar perturbations, Class. Quantum Gravity, Volume 29 (2012), p. 215013 | arXiv
[83] Concentric circles in WMAP data may provide evidence of violent pre-Big-Bang activity | arXiv
[84] Pre-Big-Bang cosmology and circles in the cosmic microwave background, Phys. Rev. D, Volume 84 (2011) | arXiv
[85] A search for concentric circles in the 7-year WMAP temperature sky maps, Astrophys. J., Volume 733 (2011) | arXiv
[86] No evidence for anomalously low variance circles on the sky, J. Cosmol. Astropart. Phys., Volume 1104 (2011) | arXiv
[87] Are there echoes from the pre-Big Bang universe? A search for low variance circles in the CMB sky, Astrophys. J., Volume 740 (2011), p. 52 | arXiv
[88] Loop quantum gravity effects on inflation and the CMB, Class. Quantum Gravity, Volume 21 (2004), pp. 5767-5775 | arXiv
[89] Inflationary universe in loop quantum cosmology, J. Cosmol. Astropart. Phys., Volume 0708 (2007) | arXiv
[90] Loop quantum gravity corrections to gravitational wave dispersion, Phys. Rev. D, Volume 77 (2008) | arXiv
[91] Gravitational waves from the big bounce, J. Cosmol. Astropart. Phys., Volume 0811 (2008) | arXiv
[92] The gravitational wave background from super-inflation in loop quantum cosmology, Phys. Rev. D, Volume 79 (2009) | arXiv
[93] Cosmological footprints of loop quantum gravity, Phys. Rev. Lett., Volume 102 (2009) | arXiv
[94] TASI lectures on inflation | arXiv
[95] Loop quantum cosmology and slow roll inflation, Phys. Lett. B, Volume 694 (2011), pp. 108-112 | arXiv
[96] On the measure problem in slow roll inflation and loop quantum cosmology, Phys. Rev. D, Volume 83 (2011) | arXiv
[97] Duration of inflation and conditions at the bounce as a prediction of effective isotropic loop quantum cosmology, Phys. Rev. D, Volume 87 (2013) | arXiv
[98] Phenomenological investigation of a quantum gravity extension of inflation with the Starobinsky potential, Phys. Rev. D, Volume 93 (2016) | arXiv
[99] Singularities and time-asymmetry (S.W. Hawking; W. Israel, eds.), General Relativity: An Einstein Centenary Survey, Cambridge University Press, Cambridge, 1979
[100] Initial conditions for cosmological perturbations | arXiv
[101] Detailed analysis of the predictions of loop quantum cosmology for the primordial power spectra, Phys. Rev. D, Volume 92 (2015) | arXiv
[102] et al. First year Wilkinson microwave anisotropy probe (WMAP) observations: preliminary maps and basic results, Astrophys. J. Suppl., Volume 148 (2003), pp. 1-27 | arXiv
[103] et al. Planck 2013 results. XVI. Cosmological parameters, Astron. Astrophys., Volume 571 (2014) | arXiv
[104] Loop quantum cosmology, non-Gaussianity, and CMB power asymmetry, Phys. Rev. D, Volume 92 (2015) | arXiv
[105] et al. Planck 2015 results. XVI. Isotropy and statistics of the CMB, Astron. Astrophys., Volume 594 (2016) | arXiv
[106] Quantum gravity in the sky: interplay between fundamental theory and observations | arXiv
[107] Primordial tensor power spectrum in holonomy corrected Ω loop quantum cosmology, Phys. Rev. D, Volume 87 (2013) | arXiv
[108] Comparison of primordial tensor power spectra from the deformed algebra and dressed metric approaches in loop quantum cosmology, Phys. Rev. D, Volume 91 (2015) | arXiv
[109] Inverse volume corrections from loop quantum gravity and the primordial tensor power spectrum in slow-roll inflation, Phys. Rev. D, Volume 79 (2009) | arXiv
[110] Inflationary observables in loop quantum cosmology, J. Cosmol. Astropart. Phys., Volume 1103 (2011) | arXiv
[111] Observational test of inflation in loop quantum cosmology, J. Cosmol. Astropart. Phys., Volume 1111 (2011) | arXiv
[112] The matter bounce alternative to inflationary cosmology | arXiv
[113] Bouncing cosmologies with dark matter and dark energy | arXiv
[114] The matter bounce scenario in loop quantum cosmology, J. Cosmol. Astropart. Phys., Volume 1303 (2013) | arXiv
[115] A ΛCDM bounce scenario, J. Cosmol. Astropart. Phys., Volume 1503 (2015) | arXiv
[116] Ekpyrotic and cyclic cosmology, Phys. Rep., Volume 465 (2008), pp. 223-263 | arXiv
[117] Non-singular ekpyrotic/cyclic model in loop quantum cosmology, Phys. Rev. D, Volume 80 (2009) | arXiv
[118] Ekpyrotic loop quantum cosmology, J. Cosmol. Astropart. Phys., Volume 1308 (2013) | arXiv
[119] Why all these prejudices against a constant? | arXiv
[120] Cosmology forum: is dark energy really a mystery?, Nature, Volume 466 (2010), pp. 321-322
[121] The asymptotic safety scenario in quantum gravity, Living Rev. Relativ., Volume 9 (2006), pp. 5-173
[122] Relating loop quantum cosmology to loop quantum gravity: symmetric sectors and embeddings, Class. Quantum Gravity, Volume 24 (2007), pp. 5777-5802 | arXiv
[123] On the configuration spaces of homogeneous loop quantum cosmology and loop quantum gravity | arXiv
[124] Embedding loop quantum cosmology without piecewise linearity, Class. Quantum Gravity, Volume 30 (2013) | arXiv
[125] On the uniqueness of kinematics of loop quantum cosmology, Class. Quantum Gravity, Volume 29 (2012), p. 242001 | arXiv
[126] Kinematical uniqueness of homogeneous isotropic LQC | arXiv
[127] Uniqueness of the representation in homogeneous isotropic LQC | arXiv
[128] Towards spinfoam cosmology, Phys. Rev. D, Volume 82 (2010) | arXiv
[129] Cosmological constant in spinfoam cosmology, Phys. Rev. D, Volume 83 (2011) | arXiv
[130] A homogeneous model of spinfoam cosmology, Class. Quantum Gravity, Volume 30 (2013), p. 235019 | arXiv
[131] Anisotropic spinfoam cosmology, Class. Quantum Gravity, Volume 31 (2014) | arXiv
[132] Spinfoam cosmology with the proper vertex amplitude | arXiv
[133] Quantum reduction to Bianchi I models in loop quantum gravity, Phys. Rev. D, Volume 91 (2015) | arXiv
[134] An embedding of loop quantum cosmology in variables into a full theory context, Class. Quantum Gravity, Volume 33 (2016), p. 125014 | arXiv
[135] Emergence of loop quantum cosmology from loop quantum gravity: lowest order in h | arXiv
[136] A new perspective on cosmology in loop quantum gravity, Europhys. Lett., Volume 104 (2013), p. 10001 | arXiv
[137] Quantum-reduced loop gravity: cosmology, Phys. Rev. D, Volume 87 (2013) | arXiv
[138] Improved regularization from quantum reduced loop gravity | arXiv
[139] State refinements and coarse graining in a full theory embedding of loop quantum cosmology | arXiv
[140] Homogeneous cosmologies as group field theory condensates, J. High Energy Phys., Volume 06 (2014) | arXiv
[141] Emergent Friedmann dynamics with a quantum bounce from quantum gravity condensates, Class. Quantum Gravity, Volume 33 (2016), p. 224001 | arXiv
[142] Emergence of a low spin phase in group field theory condensates | arXiv
[143] Observations on interfacing loop quantum gravity with cosmology, Phys. Rev. D, Volume 92 (2015) | arXiv
[144] Cosmological implications of interacting group field theory models: cyclic universe and accelerated expansion | arXiv
[145] Quantum cosmology from group field theory condensates: a review, SIGMA, Volume 12 (2016) | arXiv
[146] Geometrodynamics regained, Ann. Phys., Volume 96 (1976), pp. 88-135
[147] Hamiltonian formulation of f(Riemann) theories of gravity, Prog. Theor. Phys., Volume 123 (2010), pp. 169-185 | arXiv
[148] Deformed general relativity and effective actions from loop quantum gravity, Phys. Rev. D, Volume 86 (2012) | arXiv
[149] Signature change in loop quantum cosmology, Springer Proc. Phys., Volume 157 (2014), pp. 555-562 | arXiv
[150] Deformed general relativity, Phys. Rev. D, Volume 87 (2013) | arXiv
[151] Some implications of signature-change in cosmological models of loop quantum gravity, J. Cosmol. Astropart. Phys., Volume 1508 (2015) | arXiv
[152] Creation of universes from nothing, Phys. Lett. B, Volume 117 (1982), pp. 25-28
[153] Wave function of the universe, Phys. Rev. D, Volume 28 (1983), pp. 2960-2975
[154] Asymptotic silence in loop quantum cosmology, AIP Conf. Proc., Volume 1514 (2012), p. 81 | arXiv
[155] Uniqueness of the Fock quantization of scalar fields and processes with signature change in cosmology, Phys. Rev. D, Volume 89 (2014) | arXiv
[156] Silent initial conditions for cosmological perturbations with a change of space–time signature | arXiv
[157] Primordial scalar power spectrum from the Euclidean big bounce, Phys. Rev. D, Volume 93 (2016) | arXiv
[158] Cosmology without time: what to do with a possible signature change from quantum gravitational origin? | arXiv
[159] Towards a nonsingular bouncing cosmology, J. Cosmol. Astropart. Phys., Volume 1208 (2012) | arXiv
[160] A new look at scalar perturbations in loop quantum cosmology: (un)deformed algebra approach using self dual variables | arXiv
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