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Spin foams of 4d gravity were recently extended from complexes with purely spacelike surfaces to complexes that also contain timelike surfaces.
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R. Oeckl, A ’general boundary’ formulation for quantum mechanics and quantum gravity
2003
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C. Rovelli, “Quantum Gravity”, Cambridge University Press, Camrbidge (2004)
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2005
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2006
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J. Engle, R. Pereira, C. Rovelli, Flipped spinfoam vertex and loop gravity
2008
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F. Conrady, L. Freidel, Path integral representation of spin foam models of 4d gravity
2008
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F. Conrady, L. Freidel, On the semiclassical limit of 4d spin foam models
2008
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F. Conrady, L. Freidel, Quantum geometry from phase space reduction
2009
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2009
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