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The Boundary Proposal

Published 27 Mar 2024 in hep-th and gr-qc | (2403.18892v3)

Abstract: One of the leading ideas for the beginning of the Universe is the Hartle-Hawking No-Boundary Proposal.' Since the Cobordism Conjecture claims that any spacetime allows for a dynamical boundary, we suggest that one may equally well consider aBoundary Proposal'. Specifically, the corresponding euclidean instanton is a sphere with two holes around north and south pole cut out. Analogously to the Hartle-Hawking proposal, the sphere is then cut in two at the equator and half of it is dropped. The equator is glued to an expanding Lorentzian de Sitter space, implementing a beginning of the Universe with a spacelike spherical boundary at its earliest moment. This process is in principle on equal footing with the one based on the no-boundary instanton. In fact, if the Linde-Vilenkin sign choice is used, this `Boundary' creation process may even dominate. An intriguing implication arises if tensionless end-of-the-world branes, as familiar from type-IIA or M-theory, are available: Analogously to the Boundary Proposal, one may then be able to create a compact, flat torus universe from nothing, without any exponential suppression or enhancement factors.

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References (43)
  1. A. Vilenkin, “Creation of Universes from Nothing,” Phys. Lett. B 117 (1982) 25–28.
  2. A. Vilenkin, “The Birth of Inflationary Universes,” Phys. Rev. D 27 (1983) 2848.
  3. A. Vilenkin, “Quantum Creation of Universes,” Phys. Rev. D 30 (1984) 509–511.
  4. J. B. Hartle and S. W. Hawking, “Wave Function of the Universe,” Phys. Rev. D 28 (1983) 2960–2975.
  5. A. D. Linde, “Quantum Creation of the Inflationary Universe,” Lett. Nuovo Cim. 39 (1984) 401–405.
  6. J. J. Halliwell and J. Louko, “Steepest Descent Contours in the Path Integral Approach to Quantum Cosmology. 1. The De Sitter Minisuperspace Model,” Phys. Rev. D 39 (1989) 2206.
  7. J. Feldbrugge, J.-L. Lehners, and N. Turok, “Lorentzian Quantum Cosmology,” Phys. Rev. D 95 no. 10, (2017) 103508, arXiv:1703.02076 [hep-th].
  8. J.-L. Lehners, “Review of the no-boundary wave function,” Phys. Rept. 1022 (2023) 1–82, arXiv:2303.08802 [hep-th].
  9. J. Maldacena, “Comments on the no boundary wavefunction and slow roll inflation,” arXiv:2403.10510 [hep-th].
  10. S. W. Hawking and N. Turok, “Open inflation without false vacua,” Phys. Lett. B 425 (1998) 25–32, arXiv:hep-th/9802030.
  11. N. Turok and S. W. Hawking, “Open inflation, the four form and the cosmological constant,” Phys. Lett. B 432 (1998) 271–278, arXiv:hep-th/9803156.
  12. J. Garriga, “Smooth ’creation’ of an open universe in five-dimensions,” arXiv:hep-th/9804106.
  13. J. Garriga, “Open inflation and the singular boundary,” Phys. Rev. D 61 (2000) 047301, arXiv:hep-th/9803210.
  14. J. J. Blanco-Pillado, H. S. Ramadhan, and B. Shlaer, “Bubbles from Nothing,” JCAP 01 (2012) 045, arXiv:1104.5229 [gr-qc].
  15. B. Friedrich, A. Hebecker, and J. Walcher, “Cobordism and Bubbles of Anything in the String Landscape,” arXiv:2310.06021 [hep-th].
  16. S. R. Coleman and F. De Luccia, “Gravitational Effects on and of Vacuum Decay,” Phys. Rev. D 21 (1980) 3305.
  17. E. Witten, “Instability of the Kaluza-Klein Vacuum,” Nucl. Phys. B 195 (1982) 481–492.
  18. J. McNamara and C. Vafa, “Cobordism Classes and the Swampland,” arXiv:1909.10355 [hep-th].
  19. I. n. García Etxebarria, M. Montero, K. Sousa, and I. Valenzuela, “Nothing is certain in string compactifications,” JHEP 12 (2020) 032, arXiv:2005.06494 [hep-th].
  20. G. Buratti, J. Calderón-Infante, M. Delgado, and A. M. Uranga, “Dynamical Cobordism and Swampland Distance Conjectures,” JHEP 10 (2021) 037, arXiv:2107.09098 [hep-th].
  21. R. Angius, J. Calderón-Infante, M. Delgado, J. Huertas, and A. M. Uranga, “At the end of the world: Local Dynamical Cobordism,” JHEP 06 (2022) 142, arXiv:2203.11240 [hep-th].
  22. R. Angius, M. Delgado, and A. M. Uranga, “Dynamical Cobordism and the beginning of time: supercritical strings and tachyon condensation,” JHEP 08 (2022) 285, arXiv:2207.13108 [hep-th].
  23. R. Blumenhagen, N. Cribiori, C. Kneissl, and A. Makridou, “Dynamical cobordism of a domain wall and its companion defect 7-brane,” JHEP 08 (2022) 204, arXiv:2205.09782 [hep-th].
  24. R. Blumenhagen, C. Kneissl, and C. Wang, “Dynamical Cobordism Conjecture: solutions for end-of-the-world branes,” JHEP 05 (2023) 123, arXiv:2303.03423 [hep-th].
  25. J. Huertas and A. M. Uranga, “Aspects of dynamical cobordism in AdS/CFT,” JHEP 08 (2023) 140, arXiv:2306.07335 [hep-th].
  26. R. Angius, A. Makridou, and A. M. Uranga, “Intersecting End of the World Branes,” arXiv:2312.16286 [hep-th].
  27. J. J. Blanco-Pillado, J. R. Espinosa, J. Huertas, and K. Sousa, “Bubbles of nothing: the tunneling potential approach,” JCAP 03 (2024) 029, arXiv:2312.00133 [hep-th].
  28. J. J. Blanco-Pillado, J. R. Espinosa, J. Huertas, and K. Sousa, “Tunneling Potentials to Nothing,” arXiv:2311.18821 [hep-th].
  29. R. Bousso and A. Chamblin, “Open inflation from nonsingular instantons: Wrapping the universe with a membrane,” Phys. Rev. D 59 (1999) 063504, arXiv:hep-th/9805167.
  30. J. McGreevy and E. Silverstein, “The Tachyon at the end of the universe,” JHEP 08 (2005) 090, arXiv:hep-th/0506130.
  31. M. Gutperle and A. Strominger, “Space - like branes,” JHEP 04 (2002) 018, arXiv:hep-th/0202210.
  32. C. M. Hull, “Timelike T duality, de Sitter space, large N gauge theories and topological field theory,” JHEP 07 (1998) 021, arXiv:hep-th/9806146.
  33. K. Becker, M. Becker, and A. Strominger, “Five-branes, membranes and nonperturbative string theory,” Nucl. Phys. B 456 (1995) 130–152, arXiv:hep-th/9507158.
  34. W. Fischler, D. Morgan, and J. Polchinski, “Quantization of False Vacuum Bubbles: A Hamiltonian Treatment of Gravitational Tunneling,” Phys. Rev. D 42 (1990) 4042–4055.
  35. I. R. Klebanov and M. J. Strassler, “Supergravity and a confining gauge theory: Duality cascades and chi SB resolution of naked singularities,” JHEP 08 (2000) 052, arXiv:hep-th/0007191.
  36. G. Conti and T. Hertog, “Two wave functions and dS/CFT on S11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT × S22{}^{2}start_FLOATSUPERSCRIPT 2 end_FLOATSUPERSCRIPT,” JHEP 06 (2015) 101, arXiv:1412.3728 [hep-th].
  37. G. Fanaras and A. Vilenkin, “Jackiw-Teitelboim and Kantowski-Sachs quantum cosmology,” JCAP 03 no. 03, (2022) 056, arXiv:2112.00919 [gr-qc].
  38. G. Fanaras and A. Vilenkin, “The tunneling wavefunction in Kantowski-Sachs quantum cosmology,” arXiv:2206.05839 [gr-qc].
  39. Y. B. Zeldovich and A. A. Starobinsky, “Quantum creation of a universe in a nontrivial topology,” Sov. Astron. Lett. 10 (1984) 135.
  40. R. Blumenhagen, M. Cvetic, S. Kachru, and T. Weigand, “D-Brane Instantons in Type II Orientifolds,” Ann. Rev. Nucl. Part. Sci. 59 (2009) 269–296, arXiv:0902.3251 [hep-th].
  41. P. Betzios and O. Papadoulaki, “An inflationary cosmology from anti-de Sitter wormholes,” arXiv:2403.17046 [hep-th].
  42. T. Hertog and J. Hartle, “Holographic No-Boundary Measure,” JHEP 05 (2012) 095, arXiv:1111.6090 [hep-th].
  43. J. B. Hartle, S. W. Hawking, and T. Hertog, “Quantum Probabilities for Inflation from Holography,” JCAP 01 (2014) 015, arXiv:1207.6653 [hep-th].
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