Artículo

El editor solo permite decargar el artículo en su versión post-print desde el repositorio. Por favor, si usted posee dicha versión, enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

It is demonstrated how a convenient choice of the mathematical structure of the quantum cosmology superspace of the wave functions of the universe, precisely the definition of a convenient regular state superspace and the restriction of the dynamics to this space, yields directly an irreversible evolution, in the classical (and semiclassical) phase of the universe, where decoherence and correlations take place and therefore give origin to a classical universe, the second law of thermodynamics is demonstrated, connection with the Reichenbach branch system idea can be implemented, some rough coincidences with observational data are obtained, the arrows of time can be correlated, and time asymmetry can be explained as a state space asymmetry (e.g., like a spontaneous symmetry breaking). All these facts solve the problem of time asymmetry and show that it is time asymmetry itself that defines the most important features of the mathematical structure of superspace. © 1998 The American Physical Society.

Registro:

Documento: Artículo
Título:Mathematical structure of quantum superspace as a consequence of time asymmetry
Autor:Castagnino, M.
Filiación:Instituto de Astronomía y Física del Espacio, Casilla de Correos 67, Sucursal 28, 1428, Argentina
Año:1998
Volumen:57
Número:2
Página de inicio:750
Página de fin:767
DOI: http://dx.doi.org/10.1103/PhysRevD.57.750
Título revista:Physical Review D - Particles, Fields, Gravitation and Cosmology
Título revista abreviado:Phys Rev D Part Fields Gravit Cosmol
ISSN:15507998
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v57_n2_p750_Castagnino

Referencias:

  • Castagnino, M., (1971) J. Math. Phys., 12, p. 2203
  • De Witt, B., (1967) Phys. Rev., 160, p. 1113
  • Halliwell, J., (1991) Quantum Cosmology and Baby Universes, Proceedings of the Jerusalem Winter School, Jerusalem, Israel, 1990, , World Scientific, Singapore, S. Coleman
  • (1994) Physical Origin of Time Asymmetry, , Cambridge University Press, Cambridge, England, J. Halliwell, J. Perez Mercader, W. H. Zurek
  • J. Hartle in High Energy Physics 1958, Proceedings of the Yale Summer School, edited by M. J. Bowik and F. Gursey (World Scientific, Singapore, 1985); Hawking, S., Page, D.N., (1986) Nucl. Phys., B298, p. 789
  • Castagnino, M., Ganghi, A., Mazzitelli, F.D., Tkachev, I., (1993) Class. Quantum Grav., 10, p. 2495
  • Kuchar, K., (1992) Time and Interpretation of Quantum Gravity, Proceedings of the 4th Canadian Conference on General Relativity and Relativistic Astrophysics, , World Scientific, Singapore, G. Kunstatter
  • Barbour, J.B., (1994) Class. Quantum Grav., 11, p. 2835
  • Barbour, J.B., (1994) Class. Quantum Grav., 11, p. 2875
  • Castagnino, M., (1989) Phys. Rev. D, 39, p. 2216
  • Castagnino, M., Mazzitelli, F.D., (1990) Phys. Rev. D, 42, p. 482
  • Castagnino, M., Mazzitelli, F.D., (1989) Int. J. Theor. Phys., 34, p. 47
  • Castagnino, M., Lombardo, F., (1993) Phys. Rev. D, 48, p. 1722
  • Isham, C., Recent Problems in Mathematical Physics, Salamanca, 1992
  • Bogolubov, N.N., Logunov, A.A., Todorov, I.T., (1975) Introduction to Axiomatic Quantum Field Theory, , Benjamin, London
  • Parravicini, G., Gorini, V., Sudarshan, E.C.G., (1980) J. Math. Phys., 21, p. 2208
  • Castagnino, M., Gaioli, F., Gunzig, E., (1996) Found. Cosmic Phys., 16, p. 221
  • Hosotani, Y., (1985) Phys. Rev. D, 32, p. 1949
  • Demianski, M., (1992) Phys. Rev. D, 44, p. 3136
  • Sudarshan, E.C.G., (1992) Phys. Rev. A, 46, p. 37
  • R. Laura and M. Castagnino, “Minimal irreversible quantum mechanics: the mixed states case and the diagonal singularity,” report, 1997; Paz, J.P., Sinha, S., (1991) Phys. Rev. D, 44, p. 1089
  • Castagnino, M., Lombardo, F., (1996) Gen. Relativ. Gravit., 28, p. 263
  • Castagnino, M., Gunzig, E., Lombardo, F., (1995) Gen. Relativ. Gravit., 27, p. 257
  • Bohm, D., Hiley, B.J., (1993) The Undivided Universe, , Routledge, London
  • Castagnino, M., (1983) Gen. Relativ. Gravit., 15, p. 1149
  • Castagnino, M., Mazzitelli, F.D., (1984) Phys. Rev. D, 31, p. 742
  • Birrell, N.D., Davies, P.C.W., (1982) Quantum Fields in Curved Space, , Cambridge University Press, Cambridge, England
  • Audrecht, J., (1979) J. Phys. A, 12, p. 1189
  • Nussenzveig, H.M., (1972) Causality and Dispersion Relations, , Academic, New York
  • Birrell, N.B., Taylor, J.G., (1980) J. Math. Phys., 21, p. 1740
  • Castagnino, M., Verbeure, A., Weder, R., (1975) Nuovo Cimento, 26, p. 396
  • Bohm, A., (1986) Quantum Mechanics: Foundations and Applications, , Springer-Verlag, Berlin
  • Gadella, M., Maynland, B.G., (1989) Am. J. Phys., 57, p. 1103
  • Bohm, A., Gadella, M., (1989) Dirac Kets, Gamov Vectors, and Gel’fand Triplets, , Springer-Verlag, Berlin
  • Sudarshan, E.C.G., Chiu, C.B., Gorini, V., (1978) Phys. Rev. D, 18, p. 2914
  • Nakanishi, N., (1958) Prog. Theor. Phys., 19, p. 607
  • Castagnino, M., Domenech, G., Levinas, M.L., Umerez, N., (1996) J. Math. Phys., 37, p. 2107
  • Antoniou, I., Prigogine, I., (1993) Physica A, 192, p. 443
  • Castagnino, M., Laura, R., (1997) Phys. Rev. A, 56, p. 108
  • Hillery, M., (1984) Phys. Rep., 106, p. 123
  • M. C. Mackey, Time’s Arrow: The Origin of Thermodynamic behavior (Springer-Verlag, Berlin, 1992); Lasota, A., Mackey, M.C., (1985) Probabilistic Properties of Thermodynamic Behavior, , Cambridge University Press, Cambridge, England
  • Mackey, M.C., (1989) Rev. Mod. Phys., 61, p. 981
  • M. Castagnino and E. Gunzig, “Minimal irreversible quantum mechanics: an axiomatic formalism,” report, 1997; Castagnino, M., Gadella, M., Gaioli, F., Laura, R., ; Calzetta, E., Castagnino, M., Scoccimarro, R., (1992) Phys. Rev. D, 45, p. 2806
  • Davies, P.C.W., (1994) Physical Origin of Time Asymmetry, , Cambridge University Press, Cambridge, England, J. J. Halliwell
  • Aquilano, R., Castagnino, M., (1996) Mod. Phys. Lett. A, 11, p. 755
  • Aquilano, R., Castagnino, M., (1996) Astrophys. Space Sci., 238, p. 159
  • Tolman, R.C., (1987) Relativity, Thermodynamics, and Cosmology, , Dover, New York
  • Misner, C.W., Thorne, K.S., Wheeler, J.A., (1970) Gravitation, , Freeman, San Francisco
  • Peebles, P.J.E., (1993) Principles of Physical Cosmology, , Princeton University Press, Princeton
  • Landau, L.D., Lifshitz, E.M., (1958) Statistical Physics, , Pergamon, Oxford
  • Jones, C., Forman, W., (1992) Cluster and Supercluster, Vol. 366 of NATO Advanced Study Institute, p. 49. , A. C. Fabian, Kluwer, Dordrecht
  • Reeves, H., (1993) The Anthropic Principle, , Cambridge University Press, Cambridge, England, F. Bertola, U. Curi
  • Dicus, D.A., Letaw, J.R., Teplitz, D.C., Teplitz, V.L., (1982) Astrophys. J., 252, p. 1
  • Reichenbach, H., (1956) The Direction of Time, , University of California Press, Berkeley
  • Zwanzig, R.W., (1960) Chem. Phys., 33, p. 1338
  • (1966) Quantum Statistical Mechanics, , Gordon and Breach, New York, P. Meijer
  • Zurek, W.H., Phys. Today, 44 (10), p. 36
  • Bohm, A., (1995) Phys. Rev. A, 51, p. 1758
  • Antoniou, I., Bohm, A., Kielanowski, P., (1995) J. Math. Phys., 36, p. 1
  • R. Balescu, Equilibrium and Non-equilibrium Statistical Mechanics (Wiley, New York, 1963); Castagnino, M., Diener, R., Lara, L., Puccini, G., ; Antoniou, I., Tasaki, S., (1991) Physica A, 190, p. 303
  • Antoniou, I., Tasaki, S., (1993) Int. J. Quantum Chem., 46, p. 427

Citas:

---------- APA ----------
(1998) . Mathematical structure of quantum superspace as a consequence of time asymmetry. Physical Review D - Particles, Fields, Gravitation and Cosmology, 57(2), 750-767.
http://dx.doi.org/10.1103/PhysRevD.57.750
---------- CHICAGO ----------
Castagnino, M. "Mathematical structure of quantum superspace as a consequence of time asymmetry" . Physical Review D - Particles, Fields, Gravitation and Cosmology 57, no. 2 (1998) : 750-767.
http://dx.doi.org/10.1103/PhysRevD.57.750
---------- MLA ----------
Castagnino, M. "Mathematical structure of quantum superspace as a consequence of time asymmetry" . Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 57, no. 2, 1998, pp. 750-767.
http://dx.doi.org/10.1103/PhysRevD.57.750
---------- VANCOUVER ----------
Castagnino, M. Mathematical structure of quantum superspace as a consequence of time asymmetry. Phys Rev D Part Fields Gravit Cosmol. 1998;57(2):750-767.
http://dx.doi.org/10.1103/PhysRevD.57.750