The project implementation schedule
Phase no. 5
Person in charge: Dr. Octavian Micu
Title: Quantum black holes made out of wave packets
Deadline: 15.11.2016
In this research we extended the horizon wave function formalism, an approach that was previously introduced in order to analyze the gravitational radius of spherically symmetric systems and compute the probability that a given quantum state is a black hole, to the case of black holes with angular momentum. We worked in the corpuscular black holes formalism (macroscopic quantum objects made of gravitons with a very large occupation number in the ground state). Our conclusion is that simple configurations of this model naturally suppress the appearance of the inner horizon, in the sense that the probability of realizing the inner horizon is much smaller than the probability of realizing the outer horizon. For example, in certain cases, while the probability of existence for the inner horizon is negligible, the probability of existence for the outer horizon is approximately equal to one.
Phase no. 6
Person in charge: Dr. Laurentiu Caramete
Deadline: 15.09.2017
Title: Black holes catalogues – PART I.
Abstract: Presently there is a great need of black holes mass catalogues and for analysis instruments for them for astronomy and astroparticle physics, for study of cosmic rays, neutrino and gravitational waves. We made searches in international databases (NASA/IPAC Extragalactic Database) which include observations made from space and ground and stored the results in special made database. Also we calculated the masses of the black holes at any redshift based on these. To calculate the mass of the central black hole in each galaxy the known correlation between the mass of black hole and the spherical component of the galaxy which emits strongly in 2 micron was used. The coefficients which transform the proportionality into equality were obtained by fitting the relation using known black hole masses from the literature obtained by using other methods for each type of major galaxy E, S0, Sa, Sab and Sb, using the de Vaucouleurs classification. The catalogues in .csv and .odt format together with the plots and data analysis software written in Mathematica can be found at: http://www.spacescience.ro/~lcaramete/dir/BHCatalog/.
Phase No. 7
Persons in charge: Dr. Gabriela Buica and Dr. Mihaela Vatasescu
Titlul fazei: Atomic and molecular proceses in external fields: polarization effects and quantum corelations
Deadline: 15.10.2017
Abstract: We theoretically investigate the polarization effects in inelastic scattering of electrons by hydrogen atoms in a laser field and an analytical formula in a compact form is derived for the differential scattering cross sections that is valid for a circularly polarized laser fields. A numerical code based on the derived analytical formula of DCS was developed and the influence of laser field parameters was investigated for laser assisted inelastic electron scattering by hydrogen atoms in circularly and linearly polarized laser fields for several scattering geometries. The original results are published in the paper Polarization dependence in inelastic scattering of electrons by hydrogen atoms in a circularly polarized laser field, Gabriela Buica, J. Quant. Spectrosc. Radiat. Transfer, 187, 190-203 (2017). ii) We have formulated a theoretical model in order to characterize specific quantum correlations in molecular systems, by using recently developed concepts from quantum information theory. We have analyzed the effect of quantum correlations, such as electronic-vibrational entanglement and electronic coherence, on the time evolution of a molecular process driven by laser pulses. We have obtained preliminary results allowing to examine the quantum non-Markovianity in the reduced time evolution of the electronic subsystem of a laser-driven molecule.
Phase no. 8
Person in charge: Dr. Laurentiu Caramete
Deadline: 20.12.2017
Title: Black holes catalogues – PART II.
Abstract: The black hole mass catalogue made in the previous phase was augmented with new observations in visible and infrared and radio obtained using international databases (NED – NASA Extragalactic Database). Also we calculated the black hole mass function associated with the catalogue.
With the help of new data the B-V color index and the FIR/Radio ratio was calculated. Also the entire mass distribution was fitted with a power-law type function. This provided a very good fit for small and low black hole masses until an excess at around 10^8 solar mass. We tried to model this using a model of two distinct populations of black holes which follow a power-law of type -1 and -2. The two populations seem to indicate the presence of a merger phenomenon in a previous evolution phase.
The black hole catalogue will be presented at the collaboration meetings of the ANTARES, KM3Net, IceCUBE and Jem-EUSO experiments to be used in present and future analysis. Also there is a perspective to use the catalogue for modelling the ration distribution of black hole mergers in early universe which represent a direct prediction for the future European Space Agency space mission LISA, made for the study of gravitational waves.
Phase no. 9
Person in charge: Dr. Catalin Popa
Deadline: 20.12.2017
Title: Dual dynamic systems and higher order symmetries in gravitation
Abstract:In this stage we have obtained some correlations between physical quantities associated to dual dynamic systems and the quantities associated to the base space by using geometric duality relationship. Also we have presented new generating techniques for bi-hamiltonian systems associated to the higher order symmetries of four dimensional manifold. In this way higher order Kiling-Yano tensors have been studied and the associated Killing tensors have been derived. Dirac type operators associated to Killing-Yano tensors have been constructed and it was showed that for a given metric which possess third rank Killing-Yano tensors the theory is free of quantum anomalies. Also we showed that Killing-Yano tensors associated to Kimura metric under the action of Schouten-Nijenhuis bracket form a Lie algebra. Using Killing tensors we give an explicit form for the associated dual spaces and we write down the dual corresponding dynamic systems.