О ПРОБЛЕМЕ КВАНТОВАНИЯ В ТЕОРИИ ГРАВИТАЦИИ

A perturbativ equantization proves to be possible in the framework of the field-theoretic paradigm only for weak gravitational fields. The geometric approach admits a nonperturbative quantization of both geometry as a whole and space-time. Quantum mechanics and quantum field theory may be considered in a given space-time.В рамках теоретико-полевой парадигмы пертурбативное квантование оказывается возможным только для слабых гравитационных полей. Геометрический подход допускает непертурбативное квантование как геометрии в целом, так и пространства-времени. Квантовая механика и квантовая теория поля могут рассматриваться в заданном искривлённом пространстве-времен

МАТЕМАТИЧЕСКИЕ МОДЕЛИ В ТЕОРЕТИЧЕСКОЙ ФИЗИКЕ

Quantum theory and relativity theory as well as possible reconciliation have been analyzed from the viewpoint of mathematical models being used in them, experimental affirmation, interpretations and their association with dualistic paradigms.Проанализированы квантовая теория и теория относительности, а также их возможные согласования, с точки зрения используемых в них математических моделей, экс-периментального подтверждения, интерпретаций и отнесения их к дуалистическим парадиг-мам

Об интерпретациях общей теории относительности

The article considers the assumptions of A. Eddington on the possibility to interpret gravitation outside the framework of a geometric paradigm. The results obtained are consistent with astronomic observations.Обсуждаются предположения А. Эддингтона o возможности интерпретации гравитации вне рамок геометрической парадигмы. Полученные результаты согласуются с астрономическими наблюдениями

Dynamics of the Universe with global rotation

We analyze dynamics of the FRW models with global rotation in terms of dynamical system methods. We reduce dynamics of these models to the FRW models with some fictitious fluid which scales like radiation matter. This fluid mimics dynamically effects of global rotation. The significance of the global rotation of the Universe for the resolution of the acceleration and horizon problems in cosmology is investigated. It is found that dynamics of the Universe can be reduced to the two-dimensional Hamiltonian dynamical system. Then the construction of the Hamiltonian allows for full classification of evolution paths. On the phase portraits we find the domains of cosmic acceleration for the globally rotating universe as well as the trajectories for which the horizon problem is solved. We show that the FRW models with global rotation are structurally stable. This proves that the universe acceleration is due to the global rotation. It is also shown how global rotation gives a natural explanation of the empirical relation between angular momentum for clusters and superclusters of galaxies. The relation $J \sim M^2$ is obtained as a consequence of self similarity invariance of the dynamics of the FRW model with global rotation. In derivation of this relation we use the Lie group of symmetry analysis of differential equation.Comment: Revtex4, 22 pages, 5 figure

The hydrogen atom allowing for gravity

The hydrogen atom is comprised of a proton and an electron possessing charges and masses. The latter involves a gravitational interaction. Since hydrogen atoms are the most abundant in the Universe, their gravitational radiation proves to be of importance for cosmology. © 2016, Pleiades Publishing, Ltd

The hydrogen atom allowing for gravity

The hydrogen atom is comprised of a proton and an electron possessing charges and masses. The latter involves a gravitational interaction. Since hydrogen atoms are the most abundant in the Universe, their gravitational radiation proves to be of importance for cosmology. © 2016, Pleiades Publishing, Ltd

Eddington’s Prediction for General Relativity Revisited

Eddington’s prediction for general relativity (GR) is exemplified by three cases: a static spherically symmetric gravitational field, radiation of gravitational waves, and a homogeneous isotropic cosmological model. The results of GR for a static field are obtained using only Poisson’s equation instead of the Einstein–Hilbert equations. Degeometrization of GR will allow the gravitational interaction to be unified with others described in the framework of the Standard Model of particle physics. © 2018, Pleiades Publishing, Ltd

О проблеме времени в квантовой космологии

The problem of time in quantum cosmology in the framework of quantum geometrodynamics is considered. The birth of the Universe is interpreted as the tunneling of a planchet through a potential barrier. Under the barrier, time is imaginary. In the classical region there is a real time determined by the phase of the quasiclassical wave function, the dependence of which on the scale factor describes the evolution of the Universe.Рассмотрена проблема времени в квантовой космологии в рамках квантовой геометродинамики. Рождение Вселенной интерпретируется как туннелирование планкеона через потенциальный барьер. Под барьером время мнимо. В классической области возникает действительное время, определяемое фазой квазиклассической волновой функции, зависимость которого от масштабного фактора описывает эволюцию Вселенной

Vacuum Polarization and Particle Creation for Two-Horizon Metrics

Kerr–Newman and Kottler’s metrics with two horizons are considered. Evaporation of Kerr – Newman’s horizons in Hawking’s effect and Penrose’s process as well as de Sitter’s horizon decay and Schwarzschild’s horizon evaporation for Kottler’s metric have been analyzed in terms of an effective temperature, using lifetimes on the horizons. The results are applied to black hole physics and cosmology. © 2021 Institute of Physics Publishing. All rights reserved