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pro vyhledávání: '"Dorofeev, V. Yu."'
Autor:
Dorofeev, V. Yu.
In this article the reduction of a $n$-dimensional space to a $k$-dimensional space is considered as a reduction of $N^n$ states to $N^k$ states, where $N$ stands for the number of single-particle states per unit of spatial length. It turns out, this
Externí odkaz:
http://arxiv.org/abs/2009.07084
Autor:
Dorofeev, V. Yu.
In this work we take view on space-time as dual representation of fields on manifold. Given we accept such view, the space of functions in operator representation becomes probability amplitudes f(x) of a particle. Since the probabilistic interpretati
Externí odkaz:
http://arxiv.org/abs/1306.2844
Autor:
Dorofeev, V. Yu.
Based on the matrix representation of octonion algebra, supplied with specific multiplication rule, the model of electroweak and gravitational interactions is built up. While electroweak interaction in this model is induced by charged W-bosons, other
Externí odkaz:
http://arxiv.org/abs/1101.5756
Autor:
Dorofeev, V. Yu.
Nonrelativistic equation of particle with a spin for the Lagrangian on a nonassociative algebra is obtained. It is shown that in this model arises Riemann-Cartan space. In the case of central symmetry in addition to the pseudo-curvature appears torsi
Externí odkaz:
http://arxiv.org/abs/1010.1928
Autor:
Dorofeev, V. Yu.
The physical solutions of Lagrangian of octonionics are researched in the paper. It is shown, the gravitational interaction in Friedmann space and in spherically symmetric space in such model is to be described by pair of charged massless vectorial D
Externí odkaz:
http://arxiv.org/abs/1003.3228
Autor:
Grib, A. A., Dorofeev, V. Yu.
Publikováno v:
Grav.Cosmol.16:85-91,2010
It is shown that nonlinear terms in equations of gravitons on the background of curved space-time of the expanding Universe can solve the problem of the negative square of the effective mass formally arising in linear approximation for gravitons. Sim
Externí odkaz:
http://arxiv.org/abs/1002.2832
Autor:
Dorofeev, V. Yu.
Publikováno v:
Russian Mathematics (IZ VUZ), v 55, N 11, pp. 1-8 (2011)
In the article it is considered the extension of Weinberg-Salam theory from SU(2) group to the octonionic algebra. The extended octonionic algebra is used as particle wave function instead of spinors on su(2). It is shown, that leads to appearance of
Externí odkaz:
http://arxiv.org/abs/0908.3247
Autor:
Dorofeev, V. Yu.
Gravitation interactions are treated as non-associative part of the field's interactions. Vector-potential of the Dirac equation is extended for the octonionic algebra. The solution is considered as element of matrix set $BS\times O_4$.
Externí odkaz:
http://arxiv.org/abs/0807.2151
Publikováno v:
Metal Science & Heat Treatment. Nov2013, Vol. 55 Issue 7/8, p433-437. 5p.
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