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arXiv · 2409.07755

Semi-Classical limit and quantum corrections in noncoincidence power-law $f(Q)$-Cosmology

Andronikos Paliathanasis
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Abstract

Within the framework of symmetric teleparallel $f\left( Q\right) $-gravity for a connection defined in the non-coincidence gauge we derive the Wheeler-DeWitt equation of quantum cosmology. Because the gravitational field equation in $f\left( Q\right) $-gravity admits a minisuperspace description the Wheeler-DeWitt equation is a single inhomogeneous partial differential equations. We assume the power-law $f\left( Q\right) =f_{0}Q^{\mu}$ model and with the application of linear quantum observables we calculate the wavefunction of the universe. Finally, we investigate the effects of the quantum correction terms in the semi-classical limit.

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Andronikos Paliathanasis. 2024-09-12. Semi-Classical limit and quantum corrections in noncoincidence power-law $f(Q)$-Cosmology. https://arxiv.org/abs/2409.07755

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