| Grant number: | 17/02294-2 |
| Support Opportunities: | Scholarships abroad - Research |
| Effective date (Start): | September 01, 2017 |
| Effective date (End): | February 28, 2018 |
| Field of knowledge: | Physical Sciences and Mathematics - Astronomy - Extragalactic Astrophysics |
| Principal Investigator: | Alex Eduardo de Bernardini |
| Grantee: | Alex Eduardo de Bernardini |
| Host Investigator: | Orfeu Bertolami Neto |
| Host Institution: | Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil |
| Research place: | Universidade do Porto (UP), Portugal |
Abstract Quantum cosmology driven by minisuperespace models allows for the construction and analysis of the behavior of the wave functions (of the Universe) obtained from the Wheeler-DeWitt formulation (WDW). The most challenging proposal of any quantum model for the description of the Universe is precisely to find a classical correspondence consistent with all that we know from the cosmological standard model. The absence of a complete definition -- according to quantum gravity -- for the specific properties of quantum states resulting from this framework certainly creates difficulties in modeling of the primordial conditions of the Universe, according to a quantum model in good agreement with the experimental predictability. The hypothesis for the construction of gaussian quantum states as superposed solutions supported by models already studied according to WDW, as well as the calculation of gaussian quantifiers the effects like quantum decoherence and usual quantum correlations, provides a suitable opportunity to get around, or at least quantify carefully, discrepancies among these models, and may create a novel platform for experimental comparisons.This project brings up the proposal of checking how effective in describing the classical cosmology are some of the quantum cosmological models, for which we have quantum states from WDW solutions, however, in this case, solutions extended to phase space quantum mechanics. At first glance, the main/preliminary part of the object of study is composed bythe examination of gaussian and quasi-gaussian quantum superpositions of Horava-Lifshitz (HL) stationary states built in order to reproduce an expectation for some correspondence to the classical dynamics of the related quantum cosmological problem.In particular, the issues of purity and von Neumann entropy used to quantify the decoherence of quantum cosmological states due to perturbative contributions shall be identified.In a subsequent perspective, after considering the non-trivial configuration of initial gaussian quantum states as Hamiltonian eigenstate superpositions of projectable gravity scenarios according to Horava-Lifshitz cosmologies, scenarios of non-minimal coupling between a scalar field and the metric of Friedmann-Robertson-Walker, and the quantum cosmological model of Kantowski-Sachs, all of them (re)constructed in phase space quantum mechanics framework. The procedure involves theoretical tools with which we are quite familiar, in particular, involving the formalism of Weyl-Wigner(-Gauss) of quantum mechanics and the calculation of quantifiers of gaussian quantum correlations.Finally, as a motivation for the implementation of this project, we fundamentally consider the scientific interface of almost a decade involving the group of Prof. Orfeu Bertolami (Department of Physics and Astronomy of the Faculty of Sciences, University of Porto, Portugal), where our work has spread over several of these theoretical tools, not only in instrumental classical and quantum cosmology, but also in the phase-space Weyl-Wigner formalism. (AU) | |
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