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2019
On the emergence of an expanding universe from a Lorentzian matrix model Klinkhamer, F. R.
Understand We present evidence that recent numerical results from the reduced classical equations of the Lorentzian IIB matrix model can be interpreted as corresponding to the emergence of an expanding universe.
In addition, we propose an effective metric to describe the emerging (3+1)-dimensional spacetime. This metric gives, at all times, finite values for the Ricci and Kretschmann curvature scalars. With these results, we are able to give a heuristic discussion of the origin of the Universe in the context of the IIB matrix model. On the emergence of an expanding universe from a Lorentzian matrix model · Around
Built on F.R. Klinkhamer, “Regularized big bang singularity,” Phys. Rev. D 100
Original
1903
Earlier work this paper cites.
J. Nishimura and A. Tsuchiya, “Complex Langevin analysis of the space-time structure in the Lorentzian type IIB matrix model,” JHEP 1906
Original
1904
Earlier work this paper cites.
F.R. Klinkhamer, “More on the regularized big bang singularity,” Phys. Rev. D 101
Original
1907
Earlier work this paper cites.
K. Hatakeyama, A. Matsumoto, J. Nishimura, A. Tsuchiya, and A. Yosprakob, “The emergence of expanding space-time and intersecting D-branes from classical solutions in the Lorentzian type IIB matrix model,” Prog. Theor. Exp. Phys. 2020
Original
1911
Earlier work this paper cites.
F.R. Klinkhamer and Z.L. Wang, “Nonsingular bouncing cosmology from general relativity: Scalar metric perturbations,” Phys. Rev. D 101
Original
1911
Earlier work this paper cites.
H.C. Steinacker, “On the quantum structure of space-time, gravity, and higher spin,” Class. Quant. Grav. 37
Original
1911
Earlier work this paper cites.
Similar F.R. Klinkhamer, “On the emergence of an expanding universe from a Lorentzian matrix model,” preprint [arXiv:1912.12229v6 [gr-qc]]
Original
1912
Cited alongside, same era.
N. Ishibashi, H. Kawai, Y. Kitazawa, and A. Tsuchiya, “A large- N N reduced model as superstring,” Nucl. Phys. B 498
1997
Cited alongside, same era.
H. Aoki, S. Iso, H. Kawai, Y. Kitazawa, A. Tsuchiya, and T. Tada, “IIB matrix model,” Prog. Theor. Phys. Suppl. 134
1999
Cited alongside, same era.
F.R. Klinkhamer, “IIB matrix model: Emergent spacetime from the master field,” [arXiv:2007.08485 [hep-th]]
Original
2007
Cited alongside, same era.
F.R. Klinkhamer, “IIB matrix model: Extracting the spacetime points,” [arXiv:2008.01058 [hep-th]]
Original
2008
Then F.R. Klinkhamer, “IIB matrix model: Extracting the spacetime metric,” [arXiv:2008.11699 [hep-th]]
Original
2008
Later among the works it cites.
S.W. Kim, J. Nishimura, and A. Tsuchiya, “Expanding (3+1)-dimensional universe from a Lorentzian matrix model for superstring theory in (9+1)-dimensions,” Phys. Rev. Lett. 108
Original
2012
Later among the works it cites.
S.W. Kim, J. Nishimura, and A. Tsuchiya, “Expanding universe as a classical solution in the Lorentzian matrix model for nonperturbative superstring theory,” Phys. Rev. D 86
Original
2012
Later among the works it cites.
S.W. Kim, J. Nishimura, and A. Tsuchiya, “Late time behaviors of the expanding universe in the IIB matrix model,” JHEP 1210
Original
2012
Later among the works it cites.
F.R. Klinkhamer, “On a soliton-type spacetime defect,” J. Phys. Conf. Ser. 1275
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Cited alongside, same era.