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We consider a massive quantum test Klein-Gordon field probing an isotropic quantum cosmological space-time in the background.
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K. Giesel, T. Thiemann, Algebraic quantum gravity (AQG): IV. Reduced phase space quantization of loop quantum gravity , Class. Quantum Grav. 27
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V. Husain, T. Pawlowski, Time and a Physical Hamiltonian for Quantum Gravity , Phys. Rev. Lett. 108
2012
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