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Description
Providing a natural time, unimodular quantum cosmology admits the description of quantum dynamics by a Schrödinger like equation for the wavefunction of the universe. The interplay of growing uncertainties and deviations from classical orbits yields late-time correction terms for the Hubble parameter and the matter density. These quantum correction terms are induced by quantum uncertainties that are proven to accumulate with time if specific conditions on the trajectories of the corresponding classical dynamical system apply. The explicit calculation of the expectation value of the Hubble parameter for a quantum analogue of a de-Sitter universe gives a first hint which kind of quantum corrections can be expected for the cosmological standard model.