Navegar

Colección

Datos Estadísticas

Artículo

Arbuzov, A.B.; Cherny, A.Y.; Cirilo-Lombardo, D.J.; Nazmitdinov, R.G.; Han, N.S.; Pavlov, A.E.; Pervushin, V.N.; Zakharov, A.F. "Von Neumann’s quantization of general relativity" (2017) Physics of Atomic Nuclei. 80(3):491-504
Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

Von Neumann’s procedure is applied to quantizing general relativity. Initial data for dynamical variables in the Planck epoch, where the Hubble parameter value coincided with the Planck mass are quantized. These initial data are defined in terms of the Fock orthogonal simplex in the tangent Minkowski spacetime and the Dirac conformal interval. The Einstein cosmological principle is used to average the logarithm of the determinant of the spatial metric over the spatial volume of the visible Universe. The splitting of general coordinate transformations into diffeomorphisms and transformations of the initial data is introduced. In accordance with von Neumann’s procedure, the vacuum state is treated is a quantum ensemble that is degenerate in quantum numbers of nonvacuum states. The distribution of the vacuum state leads to the Casimir effect in gravidynamics in just the same way as in electrodynamics. The generating functional for perturbation theory in gravidynamics is found by solving the quantum energy constraint. The applicability range of gravidynamics is discussed along with the possibility of employing this theory to interpret modern observational data. © 2017, Pleiades Publishing, Ltd.

Registro:

Documento: Artículo
Título:Von Neumann’s quantization of general relativity
Autor:Arbuzov, A.B.; Cherny, A.Y.; Cirilo-Lombardo, D.J.; Nazmitdinov, R.G.; Han, N.S.; Pavlov, A.E.; Pervushin, V.N.; Zakharov, A.F.
Filiación:Joint Institute for Nuclear Research, ul. Joliot-Curie 6, Dubna, Moscow oblast, 141980, Russian Federation
University Dubna, Universitetskaya ul. 19, Dubna, Moscow oblast, 141982, Russian Federation
National Institute for Plasma Physics (INFIP-CONICET), FCEyN, Universidad de Buenos Aies, Buenos Aires, 1428, Argentina
Universitat de les Illes Balears, Cra. de Valldemossa, km 7.5, Palma (Illes Balears), 07122, Spain
Hanoi University of Science, Hanoi, Viet Nam
Russian State Agrarian University, Timiryazevskaya ul. 49, Moscow, 127550, Russian Federation
Institute for Theoretical and Experimental Physics, National Research Center Kurchatov Institute, Bol’shaya Cheremuskinskaya ul. 25, Moscow, 117218, Russian Federation
Año:2017
Volumen:80
Número:3
Página de inicio:491
Página de fin:504
DOI: http://dx.doi.org/10.1134/S106377881702003X
Título revista:Physics of Atomic Nuclei
Título revista abreviado:Phys. At. Nucl.
ISSN:10637788
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10637788_v80_n3_p491_Arbuzov

Referencias:

  • Einstein, A., (1915) Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys.), 44, p. 778
  • Hilbert, D., (1915) Nachr. Kön. Ges. Wiss. Göttingen, Math. -Phys. Kl., 3, p. 395
  • Noether, E., Göttingen, N.K.G.W., (1918) Math. -Phys. Kl, p. 235
  • Fock, V., (1929) Z. Phys., 57, p. 261
  • Dirac, P.A.M., (1950) Can. J. Math., 2, p. 129
  • Arnowitt, R., Deser, S., Misner, C.W., An Introduction to Current Research, Ed. by L. Witten (Wiley New York, 1962, p. 227
  • Zel’manov, A.L., Agakov, V.G., (1989) Elements of the General Theory of Relativity, , Nauka, Moscow
  • DeWitt, B.S., (1967) Phys. Rev., 160, p. 1113
  • Wheeler, J.A., Lectures in Mathematics and Physics, 1967, Ed. by C. M. De-Witt and J. A. Wheeler (Benjamin New York, 1968, p. 242
  • Misner, C.W., (1969) Phys. Rev., 186, p. 1319
  • Einstein, A., Wiss, S.P.A., (1917) Berlin (Math. Phys.), p. 142
  • Dirac, P.A.M., (1973) Proc. R. Soc. London, Ser. A, 333, p. 403
  • Deser, S., (1970) Ann. Phys. (N. Y.), 59, p. 248
  • Borisov, A.B., Ogievetskii, V.I., (1974) Theor. Math. Phys., 21, p. 1179
  • Coleman, S., Wess, J., Zumino, B., (1969) Phys. Rev., 177, p. 2239
  • Volkov, D.V., (1973) Sov. J. Part. Nucl., 4, p. 1
  • Barbashov, B.M., (2006) Phys. Lett. B, 633, p. 458
  • Arbuzov, A.B., (2010) Phys. Lett. B, 691, p. 230
  • Pervushin, V.N., (2012) Gen. Relativ. Grav., 44, p. 2745
  • Wigner, E.P., (1939) Ann. Math., 40, p. 149
  • Ogievetsky, V.I., (1973) Lett. Nuovo Cimento, 8, p. 988
  • Casimir, H.B.G., (1948) Proc. Kön. Nederl. Akad. Wetensch., 51, p. 793
  • Bordag, M., (2009) Advances in the Casimir Effect, , Oxford Univ. Press, New York
  • von Neumann, J., (1955) Mathematical Foundations of Quantum Mechanics, p. 418. , Princeton Univ. Press, Princeton
  • Blokhintsev, D.I., (1940) J. Phys. (USSR), 2, p. 71
  • Kasner, E., (1921) Am. J. Math., 43, p. 217
  • Perlmutter, S., (1999) Astrophys. J., 517, p. 565
  • Schmidt, B.P., (1998) Astrophys. J., 507, p. 46
  • Riess, A.G., (2001) Astrophys. J., 560, p. 49
  • Behnke, D., (2002) Phys. Lett. B, 530, p. 20
  • Zakharov, A.F., Pervushin, V.N., (2010) Int. J. Mod. Phys. D, 19, p. 1875
  • Markov, M.A., (1965) Prog. Theor. Phys. Suppl., E65, p. 85
  • Markov, M.A., (1994) Phys. Usp., 37, p. 57
  • Coleman, S., Weinberg, E., (1973) Phys. Rev. D, 7, p. 1888
  • Pervushin, V., (2012), PoS (Baldin ISHEPP XXI) 023; Pervushin, V., ; Arbuzov, A.B., ; Arbuzov, A.B., (2016) Europhys. Lett., 113, p. 31001
  • Arbuzov, A.B., (2009) Grav. Cosmol., 15, p. 199
  • Cirilo-Lombardo, D.J., Pervushin, V.N., (2016) Int. J. Geom. Meth. Mod. Phys., 13, p. 1650113
  • Litov, L.B., Pervushin, V.N., (1984) Phys. Lett. B, 147, p. 76

Citas:

---------- APA ----------
Arbuzov, A.B., Cherny, A.Y., Cirilo-Lombardo, D.J., Nazmitdinov, R.G., Han, N.S., Pavlov, A.E., Pervushin, V.N.,..., Zakharov, A.F. (2017) . Von Neumann’s quantization of general relativity. Physics of Atomic Nuclei, 80(3), 491-504.
http://dx.doi.org/10.1134/S106377881702003X
---------- CHICAGO ----------
Arbuzov, A.B., Cherny, A.Y., Cirilo-Lombardo, D.J., Nazmitdinov, R.G., Han, N.S., Pavlov, A.E., et al. "Von Neumann’s quantization of general relativity" . Physics of Atomic Nuclei 80, no. 3 (2017) : 491-504.
http://dx.doi.org/10.1134/S106377881702003X
---------- MLA ----------
Arbuzov, A.B., Cherny, A.Y., Cirilo-Lombardo, D.J., Nazmitdinov, R.G., Han, N.S., Pavlov, A.E., et al. "Von Neumann’s quantization of general relativity" . Physics of Atomic Nuclei, vol. 80, no. 3, 2017, pp. 491-504.
http://dx.doi.org/10.1134/S106377881702003X
---------- VANCOUVER ----------
Arbuzov, A.B., Cherny, A.Y., Cirilo-Lombardo, D.J., Nazmitdinov, R.G., Han, N.S., Pavlov, A.E., et al. Von Neumann’s quantization of general relativity. Phys. At. Nucl. 2017;80(3):491-504.
http://dx.doi.org/10.1134/S106377881702003X