Theoretical cosmology in BP2
last updated: December 2014
- Nature of cosmological singularity.
- Spectrum of primordial gravitational radiation.
- Time issue in quantum cosmology
- Coherent states in quantum cosmology
WORKS PERFORMED IN 2014
- Dynamic system methods were applied to investigate mathematical structure of the Bianchi IX model phase space near cosmological singularity.
- The Bianchi II model was quantified in the context of applicability to quantify the most general model of that class (Bianchi IX).
- Quantum chaos in the Bianchi IX model was examined on a preliminary basis.
- Dynamics of homogenous and isotropic cosmologic models in the Brans-Dicki extended theory of gravitation was investigated.
- It was checked whether any significant ambiguities in quantifying procedure might result from free choice of the so-called internal clock in physical description of gravitational systems.
- Spectra of primary interferences within the loop quantum cosmology approach were determined.
- Coherent states were applied to describe semi-classic dynamics of cosmological models.
THE MOST ESSENTIAL ACHIEVEMENTS (2014)
It was shown that:
- Dynamics of the Bianchi II model may be modelled as scattering of a particle on a potential barrier.
- The Bianchi IX semi-classical model is not singular (classic singularity was replaced by quantum reflection).
- Quantized anisotropic degrees of freedom in the Bianchi XI model have the form of radiated quanta of energy of the gravitational field.
- Phase space in the Bianchi IX model contains some non-hyperbolic critical points, probably related to chaotic classical dynamics of that model.
The obtained results suggests that:
- Energetic levels in the quantum Bianchi IX model mutually repel, which is a typical feature of chaotic models.
APPLICABILITY OF THE OBTAINED RESULTS
- The obtained physical hamiltonian may be used to quantify the rather complicated general Bianchi IX system.
- The results may be a starting point for further investigation on Bianchi-type models in the Brans-Dicki theory of gravitation.
- Methods to quantify via coherent states helped to produce a scenario of evolution of the Universe without any singularity and to investigate the time issue.
- It has been suggested that quantum correlation of the Universe may be responsible for cause-effect relations observed in the CMB spectrum (no need to resort to cosmological inflation).
- The obtained interference spectra will help to confront theoretical predictions with experimentally observed CMB anisotropy and polarization.
- Professor Włodzimierz Piechocki
- Dr. Ewa Czuchry
- Dr. Orest Hrycyna
- Dr. Przemysław Malkiewicz
- Dr. Jakub Mielczarek
This page editoted by: Marek Pawłowski