Four-dimensional manifolds with changing signature are obtained by taking the large N limit of fuzzy CP2 solutions to a Lorentzian matrix model. The regions of Lorentzian signature give toy models of closed universes which exhibit cosmological singularities. These singularities are resolved at finite N, as the underlying CP2 solutions are expressed in terms of finite matrix elements.
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Univ Tecn Lisboa, Dept Mat Engn, Inst Super Tecn, P-1049001 Lisbon, PortugalUniv Tecn Lisboa, Dept Mat Engn, Inst Super Tecn, P-1049001 Lisbon, Portugal
Meacock, C.
Vilar, R.
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Univ Tecn Lisboa, Dept Mat Engn, Inst Super Tecn, P-1049001 Lisbon, PortugalUniv Tecn Lisboa, Dept Mat Engn, Inst Super Tecn, P-1049001 Lisbon, Portugal
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Fujian Normal Univ, Sch Math & Stat, Fuzhou 350117, Peoples R China
Leshan Normal Univ, Sch Math & Phys, Leshan 614004, Sichuan, Peoples R ChinaFujian Normal Univ, Sch Math & Stat, Fuzhou 350117, Peoples R China
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Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R ChinaTsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
Han, Xiaoli
Li, Jiayu
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Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R ChinaTsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
Li, Jiayu
Yang, Liuqing
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Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R ChinaTsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China