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Proposing smooth initial conditions is one of the most important tasks in quantum cosmology.
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Claims pertaining to LQC providing a ‘dynamical’ initial condition [ 26 ] remain confined to simplest isotropic and homogeneous minisuperspace models, requiring extra input in the presence of cosmological perturbations, or even anisotropies
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There are scenarios (beside LQC) in which the path integral receives (non-perturbative) quantum corrections to the classical action, such as for a particle on a curved manifold [ 27 ]
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By an abuse of notation, from now on we shall use the dot ‘
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What we call \mathaccentV t i l d e 07 E a \mathaccentV{tilde}07E{a} in our analysis is the boundary at which 𝒱 \mathcal{V} turns negative, and therefore it coincides with the minimum scale factor a min a_{\text{min}} of the ‘bounce’ picture in LQC
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There are some quantum ambiguities in calculating the exact form of this function but we stick to the choices made in [ 21 ] here
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