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In the loop approach to the quantisation of gravity, one uses a Hilbert space which is too singular for some operators to be realised as derivatives.
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G. Date and S. Sengupta, “Effective Actions from Loop Quantum Cosmology: Correspondence with Higher Curvature Gravity,” Class. Quant. Grav
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G. Kunstatter, J. Louko, and J. Ziprick, “Polymer quantization, singularity resolution and the 1 / r 2 1/r^{2} potential,” Phys. Rev
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Cited in the paper.
R. C. Helling, “Lessons from the LQG string,” hep-th/0610193
Cited in the paper.
P. Dzierzak, P. Malkiewicz, and W. Piechocki, “Turning Big Bang into Big Bounce: I. Classical Dynamics,” 0907.3436
Cited in the paper.
P. Malkiewicz and W. Piechocki, “Foamy structure of spacetime,” 0907.4647
Cited in the paper.
P. Malkiewicz and W. Piechocki, “Turning big bang into big bounce: Quantum dynamics,” 0908.4029
Cited in the paper.