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F.R. Klinkhamer, “Regularized big bang singularity,” Phys. Rev. D 100
Original
1903
Earlier work this paper cites.
F.R. Klinkhamer and Z.L. Wang, “Nonsingular bouncing cosmology from general relativity,” Phys. Rev. D 100
Original
1904
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.
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.
A. Einstein, “Die Grundlage der allgemeinen Relativitätstheorie” (The foundation of the general theory of relativity), Annalen Phys. (Leipzig) 49
1916
Earlier work this paper cites.
A.A. Friedmann, “Über die Krümmung des Raumes” (On the curvature of space), Z. Phys. 10
1922
Earlier work this paper cites.
A.A. Friedmann, “Über die Möglichkeit einer Welt mit konstanter negativer Krümmung des Raumes” (On the possibility of a world with constant negative curvature), Z. Phys. 21
1924
Earlier work this paper cites.
G. Lemaître, “Un univers homogène de masse constante et de rayon croissant rendant compte de la vitesse radiale des nébuleuses extra-galactiques” (A homogeneous universe of constant mass and increasing radius accounting for the radial velocity of extra-galactic nebulae), Ann. Soc. Sci. Bruxelles A47
1927
Earlier work this paper cites.
H.P. Robertson, “Kinematics and world-structure,’ Astrophys. J. 82
1935
Earlier work this paper cites.

Similar

H.P. Robertson, “Kinematics and world-structure II,” 83
1936
Cited alongside, same era.
H.P. Robertson, “Kinematics and world-structure III,” 83
1936
Cited alongside, same era.
A.G. Walker, “On Milne’s theory of world-structure,” Proc. Lond. Math. Soc. 42
1937
Cited alongside, same era.
S.W. Hawking and R. Penrose, “The singularities of gravitational collapse and cosmology,” Proc. Roy. Soc. Lond. A 314
1970
Cited alongside, same era.
S.R. Coleman and E.J. Weinberg, “Radiative corrections as the origin of spontaneous symmetry breaking,” Phys. Rev. D 7
1973
Cited alongside, same era.
E. Witten, “The 1 / N 1/N expansion in atomic and particle physics,” in G. ’t Hooft et. al (eds.), Recent Developments in Gauge Theories , Cargese 1979 (Plenum Press, New York, USA, 1980), pp. 403–419

Then

F.R. Klinkhamer, “IIB matrix model: Emergent spacetime from the master field,” Prog. Theor. Exp. Phys. 2021
Original
2007
Later among the works it cites.
F.R. Klinkhamer, “IIB matrix model: Extracting the spacetime points,” [arXiv:2008.01058 [hep-th]]
Original
2008
Later among the works it cites.
F.R. Klinkhamer, “IIB matrix model: Extracting the spacetime metric,” [arXiv:2008.11699 [hep-th]]
Original
2008
Later among the works it cites.
A. Ashtekar and P. Singh, “Loop quantum cosmology: A status report,” Class. Quant. Grav. 28
Original
2011
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

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2020

IIB matrix model and regularized big bang

Klinkhamer, F. R.

Understand

The large-$N$ master field of the Lorentzian IIB matrix model can, in principle, give rise to a particular degenerate metric relevant to a regularized big bang.

The length parameter of this degenerate metric is then calculated in terms of the IIB-matrix-model length scale.

Built on

F.R. Klinkhamer, “Regularized big bang singularity,” Phys. Rev. D 100
Original
1903
Earlier work this paper cites.
F.R. Klinkhamer and Z.L. Wang, “Nonsingular bouncing cosmology from general relativity,” Phys. Rev. D 100
Original
1904
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.
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.
A. Einstein, “Die Grundlage der allgemeinen Relativitätstheorie” (The foundation of the general theory of relativity), Annalen Phys. (Leipzig) 49
1916
Earlier work this paper cites.
A.A. Friedmann, “Über die Krümmung des Raumes” (On the curvature of space), Z. Phys. 10
1922
Earlier work this paper cites.
A.A. Friedmann, “Über die Möglichkeit einer Welt mit konstanter negativer Krümmung des Raumes” (On the possibility of a world with constant negative curvature), Z. Phys. 21
1924
Earlier work this paper cites.
G. Lemaître, “Un univers homogène de masse constante et de rayon croissant rendant compte de la vitesse radiale des nébuleuses extra-galactiques” (A homogeneous universe of constant mass and increasing radius accounting for the radial velocity of extra-galactic nebulae), Ann. Soc. Sci. Bruxelles A47
1927
Earlier work this paper cites.
H.P. Robertson, “Kinematics and world-structure,’ Astrophys. J. 82
1935
Earlier work this paper cites.

Similar

H.P. Robertson, “Kinematics and world-structure II,” 83
1936
Cited alongside, same era.
H.P. Robertson, “Kinematics and world-structure III,” 83
1936
Cited alongside, same era.
A.G. Walker, “On Milne’s theory of world-structure,” Proc. Lond. Math. Soc. 42
1937
Cited alongside, same era.
S.W. Hawking and R. Penrose, “The singularities of gravitational collapse and cosmology,” Proc. Roy. Soc. Lond. A 314
1970
Cited alongside, same era.
S.R. Coleman and E.J. Weinberg, “Radiative corrections as the origin of spontaneous symmetry breaking,” Phys. Rev. D 7
1973
Cited alongside, same era.
E. Witten, “The 1 / N 1/N expansion in atomic and particle physics,” in G. ’t Hooft et. al (eds.), Recent Developments in Gauge Theories , Cargese 1979 (Plenum Press, New York, USA, 1980), pp. 403–419

Then

F.R. Klinkhamer, “IIB matrix model: Emergent spacetime from the master field,” Prog. Theor. Exp. Phys. 2021
Original
2007
Later among the works it cites.
F.R. Klinkhamer, “IIB matrix model: Extracting the spacetime points,” [arXiv:2008.01058 [hep-th]]
Original
2008
Later among the works it cites.
F.R. Klinkhamer, “IIB matrix model: Extracting the spacetime metric,” [arXiv:2008.11699 [hep-th]]
Original
2008
Later among the works it cites.
A. Ashtekar and P. Singh, “Loop quantum cosmology: A status report,” Class. Quant. Grav. 28
Original
2011
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

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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1980

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.

E. Witten, “Singularities in string theory,” in: Proceedings of the International Congress of Mathematicians, Beijing 2002 (World Scientific Publ., Singapore, 2002), Vol. 1, pp. 495–504, https://www.mathunion.org/icm/proceedings

2002

Cited alongside, same era.

M. Gasperini and G. Veneziano, “The pre-big-bang scenario in string cosmology,” Phys. Rep. 373

2003

Cited alongside, same era.

F.R. Klinkhamer, “M-theory and the birth of the Universe,” to appear in Acta Phys. Pol. B [arXiv:2102.11202 [hep-th]]

Original

Cited in the paper.

Original

2012