2019/11/30 by Hervé Bergeron, Ewa Czuchry, Jean-Pierre Gazeau +2 · 22 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Cosmology and Gravitation Theories #Covariant transformation #Galaxies: Formation, Evolution, Phenomena #Geometry #Inflation (cosmology) #Physics #Quantum #Quantum cosmology #Quantum dynamics #Quantum gravity #Quantum mechanics #Singularity #Solar and Space Plasma Dynamics #Theoretical physics #Universe #gr-qc #math-ph #math.MP #quant-ph
paper · pdf · doi:10.3390/universe6010007
published in Universe 6(1), 7 (Multidisciplinary Digital Publishing Institute) · 9 figures, Key words and phrases. quantum cosmology; mixmaster; coherent states; quantization; semi-classical portraits; smooth bouncing
arxiv created 2019/12/23 · openalex publication_date 2019/12/31 · arxiv updated 2020/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Mixmaster solution to Einstein field equations was examined by C. Misner in an effort to better understand the dynamics of the early universe. We highlight the importance of the quantum version of this model for the early universe. This quantum version and its semi-classical portraits are yielded through affine and standard coherent state quantizations and more generally affine and Weyl–Heisenberg covariant integral quantizations. The adiabatic and vibronic approximations widely used in molecular physics can be employed to qualitatively study the dynamics of the model on both quantum and semi-classical levels. Moreover, the semi-classical approach with the exact anisotropy potential can be effective in the numerical integration of some solutions. Some promising physical features such as the singularity resolution, smooth bouncing, the excitation of anisotropic oscillations and a substantial amount of post-bounce inflation as the backreaction to the latter are pointed out. Finally, a realistic cosmological scenario based on the quantum mixmaster model, which includes the formation and evolution of local structures is outlined.