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QUANTUM MECHANICAL MODEL IN GRAVITY THEORY
Theoretical and Mathematical Physics. 2016. Vol. 187. No. 2. P. 718–729.
We consider a model of a real massive scalar field defined as homogeneous on a d-dimensional sphere
such that the sphere radius, time scale, and scalar field are related by the equations of the general theory
of relativity. We quantize this system with three degrees of freedom, define the observables, and find
dynamical mean values of observables in the regime where the scalar field mass is much less than the
Planck mass.
Alexander S Rabinowitch, Singapore: World Scientific Publishing Co. Pte. Ltd, 2023.
The book is devoted to several topical questions in modern mathematical and theoretical physics, astrophysics, geophysics, and cosmology that remain unsolved within the framework of the standard approaches. To them, one can attribute unexplained properties of the magnetic fields of stars and planets, puzzles of the Earth's atmosphere, the phenomenon of ball lightning, the problem ...
Added: July 28, 2023
Losiakov V., Тютин И. В., Теоретическая и математическая физика 2019 Т. 199 № 1 С. 142–153
In the framework of general relativity theory, we consider a space-time whose metric depends on only one coordinate and time. We choose a gauge class such that all the constraint conditions of the theory of gravity as a gauge theory are explicitly solved and construct a Hamiltonian depending only on dynamical physical variables (gravitons). We ...
Added: October 31, 2019
Maslov V. P., , in: Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein CentennialVol. 734.: American Mathematical Society, 2019. P. 267–275.
We show that the complex solution for the classical equations has
direct physical meaning, if one uses quasi-classical approach. This combination of
the quantum and classical logic, when applied to the Newton system, provides a
real, “visible to a naked eye” quantization of the vortex momenta. ...
Added: August 24, 2019
Saleh H., , in: 2018 Moscow Workshop on Electronic and Networking Technologies (MWENT). Proceedings.: M.: IEEE, 2018. P. 1–6.
The importance of circular systems within radio-schemes increases in the process of transition from marco-to mirco- and then to nano-levels. It is worth mentioning, that on the macro-level any electric chain (since the time of Kirchhoff) as well as the simple radio circuit is usually replaced for necessary calculations by the model system of the ...
Added: May 31, 2018
Karpenko I., Философия науки и техники 2018 Т. 23 № 1 С. 54–67
The article is devoted to the philosophical interpretation of the several approaches to the creation of a quantum theory of gravity. The analysis of the key aspects of the General theory of relativity and the Standard Model, the clarification of the relevant concepts contents (gravity, particle, field, space, etc.) are conducted for this purpose. We ...
Added: October 7, 2017
Losiakov V., Теоретическая и математическая физика 2016 Т. 187 № 2 С. 310–322
We consider a model of a real massive scalar field defined as homogeneous on a d-dimensional sphere such that the sphere radius, time scale, and scalar field are related by the equations of the general theory of relativity. We quantize this system with three degrees of freedom, define the observables, and find dynamical mean values ...
Added: September 28, 2016
Karpenko I., , in: Следование правилу: рассуждение, разум, рациональность.: СПб.: Алетейя, 2014. P. 278–287.
The article looks at the possible role of measurement in a quantum-mechanical description of physical reality. The widely spread interpretations of quantum phenomena are considered as indicating an apparent connection between conscious processes (such as observation) and the properties of the microcosm. ...
Added: October 24, 2014
Apenko S.M., Journal of Physics A: Mathematical and Theoretical 2008 Vol. 41 P. 315301
The vacuum angle θ renormalization is studied for a toy model of a quantum
particle moving around a ring, threaded by a magnetic flux θ. A novel type
of renormalization group (RG) transformation is introduced by coupling the
particle to an additional slow variable, which may also be viewed as a part of a
device, which ‘measures’ the particle’s ...
Added: October 23, 2014
Karpenko I., Эпистемология и философия науки 2014 Т. XL № 2 С. 110–126
The article presents the possible role of measurement in quantum-mechanical description of physical reality. The widely spread interpretations of quantum phenomena are considered as indicating the apparent connection between conscious processes (such as observation) and the properties of the microcosm. The reasons for discrepancies between the results of observations of the microcosm and macrocosm and ...
Added: April 29, 2014