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With a well-motivated extension of higher order holonomy corrections, the quantum theory of loop quantum cosmology (LQC) for the $k=0$ Friedmann-Robertson-Walker model (with a free massless scalar) is rigorously formulated.
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A. Ashtekar, T. Pawlowski and P. Singh, “Quantum nature of the big bang: Improved dynamics,” Phys. Rev. D 74
2006
Cited alongside, same era.
A. Perez, “On the regularization ambiguities in loop quantum gravity,” Phys. Rev. D 73
2006
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A. Ashtekar, T. Pawlowski, P. Singh and K. Vandersloot, “Loop quantum cosmology of k = 1 FRW models,” Phys. Rev. D 75
2007
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K. Vandersloot, “Loop quantum cosmology and the k = -1 RW model,” Phys. Rev. D 75
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D. W. Chiou, “Effective dynamics for the cosmological bounces in Bianchi type I loop quantum cosmology,” arXiv:gr-qc/0703010
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D. Oriti, “Spin foam models of quantum spacetime,” arXiv:gr-qc/0311066
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