First-order quantum-gravitational correction from covariant, holomorphic spinfoam cosmology

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Scientific paper

The first-order LQG h correction of the simplest, classical Friedmann Hamiltonian constraint emerging from a holomorphic spinfoam cosmology peaked on homogeneous, isotropic metrics is studied. The quantum Hamiltonian constraint satisfied by the EPRL transition amplitude between the initial and final cosmological coherent states includes a contribution of order h that also appears in the corresponding semi-classical, symplectic model. The analysis of this term gives a small quantum-gravitational correction to the classical Friedmann dynamics of the scale factor.

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