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Making the Lorentzian path integral for quantum gravity well-defined and computable has been a long standing challenge.
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L. Freidel and J. Hnybida, “A Discrete and Coherent Basis of Intertwiners,” Class. Quant. Grav. 31
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S. Major and L. Smolin, “Quantum deformation of quantum gravity”, Nucl. Phys. B 473
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C. Rovelli and L. Smolin, “Discreteness of area and volume in quantum gravity,” Nucl. Phys. B 442
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