Harmonic cosmology: How much can we know about a universe before the big bang?

Abstract

Quantum gravity may remove classical space-time singularities and thus reveal what a universe at and before the big bang could be like. In loop quantum cosmology, an exactly solvable model is available which allows one to address precise dynamical coherent states and their evolution in such a setting. It is shown here that quantum fluctuations before the big bang are generically unrelated to those after the big bang. A reliable determination of pre-big bang quantum fluctuations would require exceedingly precise observations.

arXiv comment16 pages

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• Coherent semiclassical states for loop quantum cosmology
• Quantum Cosmology: Effective Theory
• Inflationary observables in loop quantum cosmology
• Generalised effective cosmology from group field theory
• Group theoretical Quantization of Isotropic Loop Cosmology
• Recollapsing quantum cosmologies and the question of entropy
• The high-density regime of kinetic-dominated loop quantum cosmology
• Comment on "Quantum bounce and cosmic recall" [arXiv:0710.4543]
• Reply to `Comment on "Quantum Bounce and Cosmic Recall"' [arXiv:0811.2790]
• Fluctuation energies in quantum cosmology
• Equivalence of models in loop quantum cosmology and group field theory
• Electric Time in Quantum Cosmology
• Non-bouncing solutions in loop quantum cosmology
• Effective Casimir Conditions and Group Coherent States
• Big Bounce in Dipole Cosmology
• Evolution in bouncing quantum cosmology
• Gaussian state for the bouncing quantum cosmology
• Generalised Gaussian states in group field theory and $\mathfrak{su}(1,1)$ quantum cosmology
• Cosmic tangle: Loop quantum cosmology and CMB anomalies
• Tunneling dynamics in cosmological bounce models
• Quantum gravity, space-time structure, and cosmology
• Weyl Curvature Hypothesis in light of Quantum Backreaction at Cosmological Singularities or Bounces
• Singularities in loop quantum cosmology