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We discuss a $(3{+}1)$-dimensional covariant quantum space-time describing a FLRW cosmology with Big Bounce, obtained by a projection of the fuzzy hyperboloid $H^4_n$.
1904
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M. V. John and K. B. Joseph, Generalized Chen-Wu type cosmological model
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Y. Kimura, Noncommutative gauge theories on fuzzy sphere and fuzzy torus from matrix model
2001
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S. Ramgoolam, On spherical harmonics for fuzzy spheres in diverse dimensions
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M. R. Douglas and N. A. Nekrasov, Noncommutative field theory
2001
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Y. Kimura, Noncommutative gauge theory on fuzzy four sphere and matrix model
2002
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J. Pawelczyk and H. Steinacker, A Quantum algebraic description of D branes on group manifolds
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J. Medina and D. O’Connor, Scalar field theory on fuzzy S 4 S^{4}
2003
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H. Steinacker, Gravity and compactified branes in matrix models
2012
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F. Melia and A. Shevchuk, The R h = c t R_{h}=ct Universe
2012
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H. Steinacker, The curvature of branes, currents and gravity in matrix models
2013
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2014
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R. J. Szabo, Quantum field theory on noncommutative spaces
2003
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M. A. Vasiliev, Higher spin gauge theories in various dimensions
2004
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Grundlehren Text Editions. Springer-Verlag, Berlin, 2004
N. Berline, E. Getzler, and M. Vergne, Heat kernels and Dirac operators · 2004
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P. de Medeiros and S. Ramgoolam, Non-associative gauge theory and higher spin interactions
2005
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M. Hanada, H. Kawai, and Y. Kimura, Describing curved spaces by matrices
2006
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E. Sezgin and P. Sundell, On an exact cosmological solution of higher spin gauge theory
2006
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2014
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2015
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J. Heckman and H. Verlinde, Covariant non-commutative space–time
2015
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G. Ishiki, Matrix Geometry and Coherent States
2015
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H. C. Steinacker, One-loop stabilization of the fuzzy four-sphere via softly broken SUSY
2015
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2016
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A. Chaney, L. Lu, and A. Stern, Matrix Model Approach to Cosmology
2016
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H. C. Steinacker, Emergent gravity on covariant quantum spaces in the IKKT model
2016
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H. Kawai, K. Kawana, and K. Sakai, A note on graviton exchange in the emergent gravity scenario
2017
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2017
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2018
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A. Stern and C. Xu, Signature change in matrix model solutions
2018
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M. Buric, D. Latas, and L. Nenadovic, Fuzzy de Sitter Space
2018
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H. C. Steinacker, Quantized open FRW cosmology from Yang-Mills matrix models
2018
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2018
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H. C. Steinacker, Cosmological space-times with resolved Big Bang in Yang-Mills matrix models
2018
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2018
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2018
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G. Mack and I. Todorov, Irreducibility of the ladder representations of u(2,2) when restricted to the poincare subgroup
2085
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