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Recent studies on the Lorentzian version of the type IIB matrix model show that (3+1)D expanding universe emerges dynamically from (9+1)D space-time predicted by superstring theory.
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2000
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J. Ambjorn, K. N. Anagnostopoulos, W. Bietenholz, T. Hotta and J. Nishimura, Monte Carlo studies of the IIB matrix model at large N , JHEP 0007
2000
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J. Nishimura and G. Vernizzi, Spontaneous breakdown of Lorentz invariance in IIB matrix model , JHEP 0004
2000
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J. Nishimura and G. Vernizzi, Brane world from IIB matrices , Phys. Rev. Lett. 85
2000
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P. Austing and J. F. Wheater, Convergent Yang-Mills matrix theories , JHEP 0104
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H. Liu, G. W. Moore and N. Seiberg, Strings in time dependent orbifolds , JHEP 0210
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A. Lawrence, On the instability of 3-D null singularities , JHEP 0211
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K. N. Anagnostopoulos and J. Nishimura, New approach to the complex action problem and its application to a nonperturbative study of superstring theory , Phys. Rev. D 66
2002
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J. Nishimura and F. Sugino, Dynamical generation of four-dimensional space-time in the IIB matrix model , JHEP 0205
2002
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H. Kawai, S. Kawamoto, T. Kuroki, T. Matsuo and S. Shinohara, Mean field approximation of IIB matrix model and emergence of four-dimensional space-time , Nucl. Phys. B 647
2002
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M. Berkooz, B. Craps, D. Kutasov and G. Rajesh, Comments on cosmological singularities in string theory , JHEP 0303
2003
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T. Imai, Y. Kitazawa, Y. Takayama and D. Tomino, Quantum corrections on fuzzy sphere , Nucl. Phys. B 665
2003
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2011
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T. Imai, Y. Kitazawa, Y. Takayama and D. Tomino, Effective actions of matrix models on homogeneous spaces , Nucl. Phys. B 679
2004
Cited alongside, same era.
T. Imai and Y. Takayama, Stability of fuzzy S 2 × S 2 S^{2}\times S^{2} geometry in IIB matrix model , Nucl. Phys. B 686
2004
Cited alongside, same era.
J. Ambjorn, J. Jurkiewicz and R. Loll, Reconstructing the universe , Phys. Rev. D 72
2005
Cited alongside, same era.
R. J. Szabo, Symmetry, gravity and noncommutativity , Class. Quant. Grav. 23
2006
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M. Hanada, H. Kawai and Y. Kimura, Describing curved spaces by matrices , Prog. Theor. Phys. 114
2006
Cited alongside, same era.
T. Aoyama and H. Kawai, Higher order terms of improved mean field approximation for IIB matrix model and emergence of four-dimensional space-time , Prog. Theor. Phys. 116
2006
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H. Steinacker, Emergent gravity from noncommutative gauge theory , JHEP 0712
2007
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2012
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A. Stern, Matrix model cosmology in two space-time dimensions , Phys. Rev. D 90
2014
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