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Does Chaotic Mixing FacilitateΩ<1Inflation?

Cornish, Neil J., Spergel, David N., Starkman, Glenn D.·1996·Physical Review Letters
DOI 10.1103/physrevlett.77.215
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Crossref · 10.1103/physrevlett.77.215

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  • The probability of a universe being created with kinetic energy K > ~ V^{-2} for V ≪ 1 is expected to be exponentially small, even though under certain conditions it might be greater than the probability given by the square of the tunneling wave function (1).

    “As we already discussed in Section II, the probability of such event for V ≪ 1 is expected to be exponentially small, even though under certain conditions it might be greater than the probability given by the square of the tunneling wave function (1); see Eqs. (18) and (19) in [14].”

    From Creation of a compact topologically nontrivial inflationary universe (2004) · cites this paper as [14]

    Split into 2 atoms — 0 confirmed, 0 partially supported, 0 disputed, 0 misattributed, 2 unverifiable. Expand the claim to see per-atom verdicts.

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  • The probability of initial conditions for a closed universe initially dominated by relativistic matter is suppressed by a factor exp(-S) ~ exp(-V^-3/4) < e^-10^9.

    “An estimate of the probability of such event for the universe initially dominated by relativistic matter suggests that it should be suppressed by a factor of exp(-S) ∼ exp(-V -3/4 ) < e -10 9 , and the probability that not only the energy density but also the scalar field in such a universe will be sufficiently homogeneous may be even smaller [14].”

    From Creation of a compact topologically nontrivial inflationary universe (2004) · cites this paper as [14]

    The paper’s discussion of the initial universe (section “Does Chaotic Mixing Facilitate Ω < 1 Inflation?”, page unavailable) says that small-volume universes may be more likely to be created and considers radiation-dominated beginnings. It does not give the claimed probability estimate for homogeneous initial conditions in a closed universe, the exp(-S) scaling, or the e^-10^9 bound; searches for those terms found no supporting passage. (LLM, conf=0.76)

    Experimental — accuracy not yet measured

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Citations

Cites

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Research works printed but not linked: 31

  1. A. Linde, 1990, Particle Physics and Inflationary Cosmology, 10.1201/b16971 · DOI
  2. J. A. Peacock, 1994, Astrophys. J., 431, 1, 10.1086/174462 · DOI
  3. M. Bolte, 1995, Nature (London), 376, 399, 10.1038/376399a0 · DOI
  4. M. Sasaki, 1993, Prog. Theor. Phys., 90, 1019, 10.1143/ptp/90.5.1019 · DOI
  5. K. Yamamoto, 1995, Astrophys. J., 455, 412, 10.1086/176588 · DOI · Paper page
  6. B. Ratra, 1995, Phys. Rev. D, 52, 1837, 10.1103/PhysRevD.52.1837 · DOI
  7. M. Bucher, 1995, Phys. Rev. D, 52, 3314, 10.1103/PhysRevD.52.3314 · DOI · Paper page
  8. A. Linde, 1995, Phys. Lett. B, 351, 99, 10.1016/0370-2693(95)00370-Z · DOI
  9. A. Linde, 1995, Phys. Rev. D, 52, 6789, 10.1103/PhysRevD.52.6789 · DOI
  10. A. Linde, 1994, Phys. Rev. Lett., 49, 1783
  11. A. Kashlinsky, 1994, Phys. Rev. Lett., 73, 1582, 10.1103/PhysRevLett.73.1582 · DOI
  12. A. N. Kolmogorov, 1959, Dokl. Akad. Nauk SSSR, 124, 768
  13. A. Einstein, 1968, Einstein's Vision
  14. G. F. Ellis, 1975, Q. J. R. Astron. Soc., 16, 245
  15. D. Atkatz, 1982, Phys. Rev. D, 25, 2065, 10.1103/PhysRevD.25.2065 · DOI
  16. Ya. B. Zel'dovich, 1984, Sov. Astron. Lett., 10, 135
  17. Y. P. Goncharov, 1989, Astrophysics, 27, 422, 10.1007/BF01008202 · DOI
  18. O. Heckmann, 1995, Handbuch der Physik,
  19. J. R. Gott, 1980, Mon. Not. R. Astron. Soc., 193, 153, 10.1093/mnras/193.1.153 · DOI
  20. C. N. Lockhart, 1982, Phys. Rev. D, 25, 921, 10.1103/PhysRevD.25.921 · DOI · Paper page
  21. W. P. Thurston, 1978, The Geometry and Topology of 3-Manifolds
  22. R. Myerhoff, 1986, Comment. Math. Helv., 61, 271, 10.1007/BF02621915 · DOI
  23. L. A. Best, 1971, Can. J. Math., 33, 451, 10.4153/CJM-1971-048-9 · DOI
  24. P. J. E. Peebles, 1980, The Large Scale Structure of the Universe
  25. J. Hatimard, 1898, J. Math. Pures Appl., 4, 27
  26. N. L. Balazs, 1986, Phys. Rep., 143, 109, 10.1016/0370-1573(86)90159-6 · DOI
  27. V. G. Gurzadyan, 1992, Astron. Astrophys., 260, 14
  28. G. F. Ellis, 1994, Classical Quantum Gravity, 11, 675, 10.1088/0264-9381/11/3/017 · DOI
  29. G. F. R. Ellis, 1986, Phys. Lett. A, 115, 97, 10.1016/0375-9601(86)90032-0 · DOI · Paper page
  30. I. Y. Sokolov, 1993, JETP Lett., 57, 617
  31. D. Stevens, 1993, Phys. Rev. Lett., 71, 20, 10.1103/PhysRevLett.71.20 · DOI

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Metadata

Authors
Cornish, N. J., Spergel, D. N., & Starkman, G. D.
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
1996-07-08
Volume
77
Issue
2
Pages
215-218
ISSN
  • 0031-9007
  • 1079-7114
DOI
10.1103/physrevlett.77.215
Cited by
82
References
1
Language
en
Licence
link.aps.org/licenses/aps-default-license (vor)

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