Оценка финансовой безопасности Красноярского края

The purpose of the research paper is to assess the level of financial security of the Krasnoyarsk Territory (Krai). For this purpose the author offers integral coefficient calculation of the level of financial security of the region, defines a set of indicators of financial security, justifies their threshold values, and depending on the value of the integral coefficient defines zones corresponding to the financial resources security level in the subject of the Russian Federation. Calculations show deterioration of the financial security level of the Krasnoyarsk Territory (Krai) for the period of 2012-2014. This approach can and should be used in the work of government authorities for the timely identification and prevention of threats to the development of all the elements of the financial system of the regionЦелью работы является оценка уровня финансовой безопасности Красноярского края. Для этого автором предложен расчет интегрального коэффициента уровня финансовой безопасности региона, определен набор индикаторов финансовой безопасности, обоснованы их пороговые значения, в зависимости от значения интегрального коэффициента установлены зоны, соответствующие уровню безопасности финансовых ресурсов в субъекте РФ. Расчеты показывают ухудшение уровня финансовой безопасности Красноярского края за период 2012-2014 гг. Данный подход может и должен использоваться в работе региональных органов государственной власти для своевременной идентификации и предотвращения угроз развитию всех элементов финансовой системы регион

Distributivity breaking and macroscopic quantum games

Examples of games between two partners with mixed strategies, calculated by the use of the probability amplitude as some vector in Hilbert space are given. The games are macroscopic, no microscopic quantum agent is supposed. The reason for the use of the quantum formalism is in breaking of the distributivity property for the lattice of yes-no questions arising due to the special rules of games. The rules of the games suppose two parts: the preparation and measurement. In the first part due to use of the quantum logical orthocomplemented non-distributive lattice the partners freely choose the wave functions as descriptions of their strategies. The second part consists of classical games described by Boolean sublattices of the initial non-Boolean lattice with same strategies which were chosen in the first part. Examples of games for spin one half are given. New Nash equilibria are found for some cases. Heisenberg uncertainty relations without the Planck constant are written for the "spin one half game"

Gravitational oscillations in multidimensional anisotropic model with cosmological constant and their contributions into the energy of vacuum

Were studied classical oscillations of background metric in the multidimensional anisotropic model of Kazner in the de-Sitter stage. Obtained dependence of fluctuations on dimension of space-time with infinite expansion. Stability of the model could be achieved when number of space-like dimensions equals or more then four. Were calculated contributions to the density of "vacuum energy", that are providing by proper oscillations of background metric and compared with contribution of cosmological arising of particles due to expansion. As it turned out, contribution of gravitational oscillation of metric into density of "vacuum energy" should play significant role in the de-Sitter stage

Hamiltonian approach to the dynamical Casimir effect

A Hamiltonian approach is introduced in order to address some severe problems associated with the physical description of the dynamical Casimir effect at all times. For simplicity, the case of a neutral scalar field in a one-dimensional cavity with partially transmitting mirrors (an essential proviso) is considered, but the method can be extended to fields of any kind and higher dimensions. The motional force calculated in our approach contains a reactive term --proportional to the mirrors' acceleration-- which is fundamental in order to obtain (quasi)particles with a positive energy all the time during the movement of the mirrors --while always satisfying the energy conservation law. Comparisons with other approaches and a careful analysis of the interrelations among the different results previously obtained in the literature are carried out.Comment: 4 pages, no figures; version published in Phys. Rev. Lett. 97 (2006) 13040

Probability amplitude in quantum like games

Examples of games between two partners with mixed strategies, calculated by the use of the probability amplitude are given. The first game is described by the quantum formalism of spin one half system for which two noncommuting observables are measured. The second game corresponds to the spin one case. Quantum logical orthocomplemented nondistributive lattices for these two games are presented. Interference terms for the probability amplitudes are analyzed by using so called contextual approach to probability (in the von Mises frequency approach). We underline that our games are not based on using of some microscopic systems. The whole scenario is macroscopic.Comment: Quantum-like model

On collisions with unlimited energies in the vicinity of Kerr and Schwarzschild black hole horizons

Two particle collisions close to the horizon of the rotating nonextremal Kerr's and Schwarzschild black holes are analyzed. For the case of multiple collisions it is shown that high energy in the centre of mass frame occurs due to a great relative velocity of two particles and a large Lorentz factor. The dependence of the relative velocity on the distance to horizon is analyzed, the time of movement from the point in the accretion disc to the point of scattering with large energy as well as the time of back movement to the Earth are calculated. It is shown that they have reasonable order.Comment: 6 pages, 1 figure. arXiv admin note: significant text overlap with arXiv:1105.154

Circular orbits and acceleration of particles by near-extremal dirty rotating black holes: general approach

We study the effect of ultra-high energy particles collisions near the black hole horizon (BSW effect) for two scenarios: when one of particle either (i) moves on a circular orbit or (ii) plunges from it towards the horizon. It is shown that such circular near-horizon orbits can exist for near-extremal black holes only. This includes the innermost stable orbit (ISCO), marginally bound orbit (MBO) and photon one (PhO). We consider generic "dirty" rotating black holes not specifying the metric and show that the energy in the centre of mass frame has the universal scaling dependence on the surface gravity $\kappa$. Namely, $E_{c.m.}\sim \kappa ^{-n}$ where for the ISCO $n=1/3$ in case (i) or $n=1/2$ in case (ii). For the MBO and PhCO $n=1/2$ in both scenarios that agrees with recent calculations of Harada and Kimura for the Kerr metric. We also generalize the Grib and Pavlov's observations made for the Kerr metric. The magnitude of the BSW effect on the location of collision has a somewhat paradoxical character: it is decreasing when approaching the horizon.Comment: 20 pages. Confusion between notations in Sec. 7 corrected. Version to appear in CQ

Sudden singularities in semiclassical gravity

It has been claimed in a recent paper \cite{bbfhd12} that sudden singularities will survive in semiclassical gravity. This issue is here carefully reviewed, pointing out that such conclusion, even if valid under some specific conditions, does not stand in other cases. An explicit example is studied in detail to support our statement, stemming from these other situations, that quantum effects may in fact drastically modify the behavior of sudden singularities.Comment: Accepted for publication in PR