Table of Contents
Journal of Gravity
Volume 2014 (2014), Article ID 382675, 9 pages
http://dx.doi.org/10.1155/2014/382675
Research Article

Creation of Entangled Universes Avoids the Big Bang Singularity

1Instituto de Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 121, 28006 Madrid, Spain
2Estación Ecológica de Biocosmología, Pedro de Alvarado 14, 06411 Medellín, Spain

Received 10 September 2013; Accepted 31 October 2013; Published 12 January 2014

Academic Editor: Sergei Odintsov

Copyright © 2014 Salvador J. Robles-Pérez. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. W. Hawking, “The boundary conditions of the universe,” in Astrophysical Cosmology, pp. 563–572, Pontificia Academiae Scientarium, Vatican City, Italy, 1982. View at Google Scholar
  2. J. B. Hartle and S. W. Hawking, “Wave function of the Universe,” Physical Review D, vol. 28, no. 12, pp. 2960–2975, 1983. View at Publisher · View at Google Scholar · View at Scopus
  3. A. Vilenkin, “Creation of universes from nothing,” Physics Letters B, vol. 117, no. 1-2, pp. 25–28, 1982. View at Google Scholar · View at Scopus
  4. A. Vilenkin, “Boundary conditions in quantum cosmology,” Physical Review D, vol. 33, no. 12, pp. 3560–3569, 1986. View at Publisher · View at Google Scholar · View at Scopus
  5. A. Vilenkin, “Approaches to quantum cosmology,” Physical Review D, vol. 50, no. 4, pp. 2581–2594, 1994. View at Publisher · View at Google Scholar · View at Scopus
  6. J. R. I. Gott and L. X. Li, “Can the Universe create itself?” Physical Review D, vol. 58, Article ID 023501, 43 pages, 1998. View at Publisher · View at Google Scholar
  7. R. Penrose, General Relavity: An Einstein Centenary Survey, chapter 12, Cambridge University Press, Cambridge, UK, 1979.
  8. S. W. Hawking and R. Penrose, The Nature of Space and Time, Princeton University Press, Princeton, NJ, USA, 1996.
  9. A. D. Linde, “Eternally existing self-reproducing chaotic inflanationary universe,” Physics Letters B, vol. 175, no. 4, pp. 395–400, 1986. View at Google Scholar · View at Scopus
  10. S. W. Hawking, “Quantum cosmology,” in Relativity, Groups and Topology II, Les Houches, Session XL, B. S. De Witt and R. Stora, Eds., Elsevier Science, 1984. View at Google Scholar
  11. A. Vilenkin, “Quantum creation of universes,” Physical Review D, vol. 30, no. 2, pp. 509–511, 1984. View at Publisher · View at Google Scholar · View at Scopus
  12. A. Linde, “Particle physics and inflationary cosmology,” Harwood Academic Publishers, http://arxiv.org/abs/hep-th/0503203v1.
  13. A. O. Barvinsky and A. Y. Kamenshchik, “1-loop quantum cosmology: the normalisability of the Hartle-Hawking wavefunction and the probability of inflation,” Classical and Quantum Gravity, vol. 7, no. 8, pp. L181–L186, 1990. View at Publisher · View at Google Scholar · View at Scopus
  14. A. O. Barvinsky and A. Y. Kamenshchik, “Quantum scale of inflation and particle physics of the early universe,” Physics Letters B, vol. 332, no. 3-4, pp. 270–276, 1994. View at Google Scholar · View at Scopus
  15. J. B. Hartle, S. W. Hawking, and T. Hertog, “Classical universes of the no-boundary quantum state,” Physical Review D, vol. 77, no. 12, Article ID 123537, 2008. View at Publisher · View at Google Scholar · View at Scopus
  16. J. B. Hartle, S. W. Hawking, and T. Hertog, “No-Boundary measure of the Universe,” Physical Review Letters, vol. 100, Article ID 201301, 4 pages, 2008. View at Publisher · View at Google Scholar
  17. P. A. R. Ade, N. Aghanim, C. Armitage-Caplan et al., “Planck 2013 results. XXII. Constraints on inflation,” http://arxiv.org/abs/1303.5082.
  18. P. A. R. Ade, N. Aghanim, and C. Armitage-Caplan, “Planck 2013 results. XVI. Cosmological parameters,” http://arxiv.org/abs/1303.5076.
  19. A. Ijjas, P. J. Steinhard, and A. Loeb, “Inflationary paradigm in trouble after Planck 2013,” Physics Letters B, vol. 723, no. 4-5, pp. 261–266, 2013. View at Google Scholar
  20. M. Tegmark, “Parallel universes,” in Science and Ultimate Reality: From Quantum to Cosmos, J. D. Barrow, P. C. W. Davies, and C. L. Harper, Eds., Cambridge University Press, Cambridge, UK, 2003. View at Google Scholar
  21. B. Carr, Ed., Universe or Multiverse, Cambridge University Press, Cambridge, UK, 2007.
  22. L. Mersini-Houghton, “Thoughts on defining the multiverse,” http://arxiv.org/abs/0804.4280v1.
  23. S. Robles-Pérez and P. F. González-Díaz, “Quantum entanglement in the multiverse,” Journal of Experimental and Theoretical Physics, vol. 145, no. 1, pp. 43–64, 2014. View at Google Scholar
  24. S. J. Robles-Pérez, “Entanglement in a multiverse with no common space-time,” in Proceedings of the Multiverse and Fundamental Cosmology Meeting (Multicosmofun ’12), vol. 1514, pp. 31–34, 2012.
  25. V. Vedral and E. Kashefi, “Uniqueness of the entanglement measure for bipartite pure states and thermodynamics,” Physical Review Letters, vol. 89, no. 3, Article ID 037903, 4 pages, 2002. View at Google Scholar · View at Scopus
  26. J. Anders and V. Vedral, “Macroscopic entanglement and phase transitions,” Open Systems & Information Dynamics, vol. 14, article 1, 2007. View at Publisher · View at Google Scholar
  27. F. G. S. L. Brandão and M. B. Plenio, “Entanglement theory and the second law of thermodynamics,” Nature Physics, vol. 4, no. 11, pp. 873–877, 2008. View at Publisher · View at Google Scholar · View at Scopus
  28. L. Amico, R. Fazio, A. Osterloh, and V. Vedral, “Entanglement in many-body systems,” Reviews of Modern Physics, vol. 80, no. 2, pp. 517–576, 2008. View at Publisher · View at Google Scholar
  29. A. O. Barvinsky and A. Y. Kamenshchik, “Cosmological landscape from nothing: some like it hot,” Journal of Cosmology and Astroparticle Physics, vol. 609, p. 14, 2006. View at Publisher · View at Google Scholar
  30. A. O. Barvinsky and A. Y. Kamenshchik, “Cosmological landscape and Euclidean quantum gravity,” Journal of Physics A, vol. 40, no. 25, p. 7043, 2007. View at Publisher · View at Google Scholar
  31. A. O. Barvinsky, “Why there is something rather than nothing: cosmological constant from summing over everything in Lorentzian quantum gravity,” Physical Review Letters, vol. 99, Article ID 071301, 4 pages, 2007. View at Publisher · View at Google Scholar
  32. S. W. Hawking, “The quantum state of the universe,” Nuclear Physics B, vol. 239, pp. 257–276, 1984. View at Publisher · View at Google Scholar
  33. C. Kiefer, Quantum Gravity, Oxford University Press, Oxford, UK, 2007.
  34. A. Alonso-Serrano, I. Garay, and S. Robles-Pérez, “Quantum entanglement in the Barvinsky-Gott mutiverse,” In preparation, 2013.
  35. A. Strominger, “Baby universes,” in Quantum Cosmology and Baby Universes, S. Coleman, J. B. Hartle, T. Piran, and S. Weinberg, Eds., vol. 7, World Scientific, London, UK, 1990. View at Google Scholar
  36. A. D. Linde, “Universe multiplication and the cosmological constant problem,” Physics Letters B, vol. 200, no. 3, pp. 272–274, 1988. View at Publisher · View at Google Scholar
  37. S. Robles-Pérez, “Entanglement arrow of time in the multiverse,” http://arxiv.org/abs/1203.5774.
  38. A. Alonso-Serrano, I. Garay, and S. Robles-Pérez, Submitted, 2013.
  39. I. Garay and S. Robles-Pérez, “Effects of a scalar field on the thermodynamics of interuniversal entanglement,” submitted to International Journal of Modern Physics D.
  40. V. F. Mukhanov and S. Winitzki, Introduction to Quantum Effects in Gravity, Cambridge University Press, Cambridge, UK, 2007.
  41. S. J. Robles-Pérez, “Chapter 8: inter-universal entanglement,” in Oceanography and Atmospheric Sciences, Intech, 2012. View at Publisher · View at Google Scholar
  42. A. Alonso-Serrano, C. Bastos, O. Bertolami, and S. Robles-Pérez, “Interacting universes and the cosmological constant,” Physics Letters B, vol. 719, pp. 200–205, 2013. View at Publisher · View at Google Scholar
  43. M. Abramovitz and I. A. Stegun, Eds., Handbook of Mathematical Functions, NBS, 1972.
  44. J. J. Halliwell, “Correlations in the wave function of the Universe,” Physical Review D, vol. 36, no. 12, pp. 3626–3640, 1987. View at Publisher · View at Google Scholar
  45. J. J. Halliwell, “Introductory lectures on quantum cosmology,” in Proceedings of the Jerusalem Winter School on Quantum Cosmology and Baby Universes, S. Coleman, J. B. Hartle, T. Piran, and S. Weinberg, Eds., vol. 7, World Scientific, London, UK, 1990.
  46. S. W. Hawking, “Arrow of time in cosmology,” Physical Review D, vol. 32, pp. 2489–2495, 1985. View at Publisher · View at Google Scholar
  47. S. Robles-Pérez and P. F. González-Díaz, “Quantum state of the multiverse,” Physical Review D, vol. 81, no. 8, Article ID 083529, 15 pages, 2010. View at Publisher · View at Google Scholar
  48. S. P. Kim and D. N. Page, “Classical and quantum action-phase variables for time-dependent oscillators,” Physical Review A, vol. 64, no. 1, Article ID 012104, 8 pages, 2001. View at Publisher · View at Google Scholar
  49. H. R. Lewis and W. B. Riesenfeld, “An exact quantum theory of the time-dependent harmonic Oscillator and of a charged particle in a time-dependent electromagnetic field,” Journal of Mathematical Physics, vol. 10, p. 1458, 1969. View at Publisher · View at Google Scholar