2005/05/20 by Nelson Pinto-Neto, N. Pinto-Neto, E. Sergio Santini +1 · 1 citation
Physics and Astronomy · #Classical mechanics #Cosmology and Gravitation Theories #Isotropy #Noncommutative and Quantum Gravity Theories #Operator (biology) #Physics #Quantization (signal processing) #Quantum #Quantum Mechanics and Applications #Quantum mechanics #Universe #gr-qc
paper · pdf · doi:10.1016/j.physleta.2005.06.080
published as Phys.Lett. A344 (2005) 131-143 · 27 pages, 6 figures
arxiv created 2005/05/20 · openalex publication_date 2005/07/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The causal interpretation of quantum mechanics is applied to a homogeneous and isotropic quantum universe, whose matter content is composed by non interacting dust and radiation. For wave functions which are eigenstates of the total dust mass operator, we find some bouncing quantum universes which reachs the classical limit for scale factors much larger than its minimum size. However these wave functions do not have unitary evolution. For wave functions which are not eigenstates of the dust total mass operator but do have unitary evolution, we show that, for flat spatial sections, matter can be created as a quantum effect in such a way that the universe can undergo a transition from an exotic matter dominated era to a matter dominated one.