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:

Following the idea that the global and local arrow of time has a cosmological origin, we define an entropy in the classical and in the quantum periods of the universe evolution. For the quantum period a semi-classical approach is adopted, modelling the universe with Wheeler-De Witt equation and using WKB. By applying the self-induced decoherence to the state of the universe it is proved that the quantum universe becomes a classical one. This allows us to define a conditional entropy which, in our simplified model, is proportional to e2γt where γ is the dumping factor associated with the interaction potential of the scalar fields. Finally we find both Gibbs and thermodynamical entropy of the universe based in the conditional entropy. © Springer Science+Business Media, LLC 2009.

Registro:

Documento: Artículo
Título:Growing classical and quantum entropies in the early universe
Autor:Ardenghi, J.S.; Castagnino, M.A.
Filiación:Institute of Astronomy and Physics of Space, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina
Institutes of Physics of Rosario and Astronomy and Physics of Space, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina
Palabras clave:Decoherence; Entropy; Quantum universe
Año:2010
Volumen:49
Número:1
Página de inicio:171
Página de fin:186
DOI: http://dx.doi.org/10.1007/s10773-009-0190-z
Título revista:International Journal of Theoretical Physics
Título revista abreviado:Int. J. Theor. Phys.
ISSN:00207748
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v49_n1_p171_Ardenghi

Referencias:

  • Adler, S., (2004) Quantum Theory as an Emergent Phenomenon, , Cambridge: Cambridge University Press
  • Aiello, M., Castagnino, M., Lombardi, O., (2008) Found. Phys., 38, pp. 256-292
  • Antoniou, I., Suchanecki, Z., Laura, R., Tasaki, S., (1997) Physica A, 241, p. 737
  • Ballentine, L., (1998) Quantum Mechanics, , Singapore: World Scientific
  • Barvinsky, A.O., (1999) Nucl. Phys. B, 551, p. 374
  • Belanger, A., Thomas, G.F., (1990) Can. J. Math., 42, p. 410
  • Birrell, N., Davies, P., (1982) Quantum Field Theory in Curves Space, , Cambridge: Cambridge University Press
  • Bohm, A., (1986) Quantum Mechanics, Foundations and Applications, , Berlin: Springer
  • Bonifacio, R., (2000) Phys. Rev. A, 61, p. 053802
  • Casati, G., Chirikov, B., (1995) Phys. Rev. Lett., 75, p. 349
  • Casati, G., Chirikov, B., (1995) Phys. Rev. D, 86, p. 220
  • Casati, G., Prosen, T., (2005) Phys. Rev. A, 72, p. 032111
  • Castagnino, M., (2004) Physica A, 335, p. 511
  • Castagnino, M., (2006) Phys. Lett. A, 357, p. 97
  • Castagnino, M., Gadella, M., (2006) Found. Phys., 36, p. 920
  • Castagnino, M., Gunzig, E., (1997) Int. J. Theor. Phys., 36, p. 2545
  • Castagnino, M., Laura, R., (1997) Phys. Rev. A, 56, p. 108
  • Castagnino, M., Laura, R., (2000) Int. J. Theor. Phys., 39, p. 1737
  • Castagnino, M., Laura, R., (2000) Phys. Rev. A, 62, p. 022107
  • Castagnino, M., Lombardi, O., (2004) Stud. Hist. Phil. Mod. Phys., 35, p. 73
  • Castagnino, M., Lombardi, O., (2004) J. Phys. A (Math. And Gen.), 37, pp. 4445-4463
  • Castagnino, M., Lombardi, O., (2005) Decoherence Time in Self Induced Decoherence, , arXiv: quant-ph/0502087
  • Castagnino, M., Lombardi, O.X., (2005) Spacetime Physics Research Trends. Horizons in World Physics, , A. Reimer (Ed.), New York: Nova Science
  • Castagnino, M., Lombardi, O., (2005) Phys. Rev. A, 72, p. 012102
  • Castagnino, M., Lombardi, O., (2006) Chaos, Solitons Fract., 28, p. 879
  • Castagnino, M., Lombardi, O., (2007) Phil. Sci., 74, p. 968
  • Castagnino, M., Lombardi, O., (2009) Physica A, 388, p. 247
  • Castagnino, M., Ordoñez, A., (2004) Int. J. Theor. Phys., 43, pp. 695-719
  • Castagnino, M., Fortin, S., Laura, R., Lombardi, O., (2008) Class. Quantum Gravity, 25, p. 154002
  • Castagnino, M., Lara, L., Lombardi, O., (2003) Int. J. Theor. Phys., 42, pp. 2487-2504
  • Castagnino, M., Lara, L., Lombardi, O., (2003) Class. Quantum Gravity, 20, pp. 369-391
  • Castagnino, M., Laura, R., Liotta, R., Id Bettan, R., (2002) J. Phys. A (Math. Gen.), 35, p. 6055
  • Castagnino, M., Lombardi, O., Lara, L., (2003) Found. Phys., 33, pp. 877-912
  • Dioisi, L., (1987) Phys. Rev. Lett. A, 120, p. 377
  • Dioisi, L., (1989) Phys. Rev. A, 40, p. 1165
  • Ehrenfest, P., Ehrenfest, T., (1959) The Conceptual Foundations of the Statistical Approach in Mechanics, , (original 1912), Ithaca: Cornell University Press
  • Ford, G., O'Connel, R., (2001) Phys. Rev. Lett. A, 286, p. 87
  • Frasca, M., (2003) Phys. Lett. A, 308, p. 135
  • Gambini, R., Pullin, J., (2007) Found. Phys., 37, pp. 1074-1092
  • Hartle, J., (1985) High Energy Physics, 1985, Proceedings of the Yale Summer School, , N. J. Bowik and F. Gursey (Eds.), Singapore: World Scientific
  • Hillery, M., O'Connell, R., Scully, M., Wigner, E., (1984) Phys. Rep., 106, p. 121
  • Iguri, S., Castagnino, M., (1999) Int. J. Theor. Phys., 38, p. 143
  • Iguri, S., Castagnino, M., (2008) J. Math. Phys., 49, p. 033510
  • Joos, E., (1986) Phys. Lett. A, 116, p. 6
  • Kiefer, C., (1987) Class. Quantum Gravity, 4, p. 1369
  • Kiefer, C., Lesgourgues, J., Polarski, D., Starobinsky, A.A., (1998) Class. Quantum Gravity, 15, pp. L67
  • Kiefer, C., Polarski, D., (1998) Ann. Phys. (Leipzig), 7, p. 137
  • Kiefer, C., Polarski, D., Starobinsky, A.A., (1998) Int. J. Mod. Phys. D, 7, p. 455
  • Kuyatt, C.E., Simpson, J.A., Mielczarek, S.R., (1965) Phys. Rev. A, 138, p. 385
  • Laura, R., Castagnino, M., (1998) Phys. Rev. A, 57, p. 4140
  • Laura, R., Castagnino, M., (1998) Phys. Rev. E, 57, p. 3948
  • Lombardo, F., Mazzitelli, D., (1996) Phys. Rev. D, 53, pp. 2001-2011
  • Milbur, G., (1991) Phys. Rev. A, 44, p. 5401
  • Parker, L., (1969) Phys. Rev., 183, p. 1057
  • Paz, J.P., Zurek, W.H., (2000) Environment-induced Decoherence and Transition from Quantum to Classical, , arXiv: quant-ph/0010011v1
  • Penrose, R., (1995) Shadows of Mind, , Oxford: Oxford University Press
  • Price, H., (1984) Time's Arrow and Archimides' Point, , Oxford: Oxford University Press
  • Prigogine, I., (1962) Non-Equilibrium Statistical Mechanics, , New York: Wiley
  • Sicardi Schifino, A., (2003), quant-ph/0308162; Treves, A., (1967) Topological Vector Spaces, Distributions and Kernels, , New York: Academic Press
  • van Hove, L., (1955) Physica, 21, p. 901
  • Zee, H.D., (1986) Phys. Lett. A, 116, p. 9
  • Zeh, H.D., (1970) Found. Phys., 1, p. 69
  • Zeh, H.D., On the irreversibility of time and observation in quantum theory (1971) Foundations of Quantum Mechanics, , B. d'Espagnat (Ed.), New York: Academic Press
  • Zeh, H.D., (1973) Found. Phys., 3, p. 109
  • Zurek, W.H., (1981) Phys. Rev. D, 24, p. 1516
  • Zurek, W.H., (1982) Phys. Rev. D, 26, p. 1962
  • Zurek, W.H., (1991) Phys. Today, 44, p. 36
  • Zurek, W.H., (1993) Prog Theor. Phys., 89, p. 281
  • Zurek, W.H., (1998) Philos. Trans. R. Soc. Lond. A, 356, p. 1793
  • Zurek, W.H., (1998), LANLquant-ph/9805065

Citas:

---------- APA ----------
Ardenghi, J.S. & Castagnino, M.A. (2010) . Growing classical and quantum entropies in the early universe. International Journal of Theoretical Physics, 49(1), 171-186.
http://dx.doi.org/10.1007/s10773-009-0190-z
---------- CHICAGO ----------
Ardenghi, J.S., Castagnino, M.A. "Growing classical and quantum entropies in the early universe" . International Journal of Theoretical Physics 49, no. 1 (2010) : 171-186.
http://dx.doi.org/10.1007/s10773-009-0190-z
---------- MLA ----------
Ardenghi, J.S., Castagnino, M.A. "Growing classical and quantum entropies in the early universe" . International Journal of Theoretical Physics, vol. 49, no. 1, 2010, pp. 171-186.
http://dx.doi.org/10.1007/s10773-009-0190-z
---------- VANCOUVER ----------
Ardenghi, J.S., Castagnino, M.A. Growing classical and quantum entropies in the early universe. Int. J. Theor. Phys. 2010;49(1):171-186.
http://dx.doi.org/10.1007/s10773-009-0190-z