investigated in detail [@mat; @kl-flat; @GaSch; @klp-aspects]. In addition to the studies performed on the genuine quantum level, there is a fast growing number of works employing a classical effective formulation of the dynamics [@eff-init; @victor], which often provides qualitatively new predictions [@eff; @cs-uniq; @cs-b1]. The methods of LQC were also applied, with various levels of rigor, outside of the cosmological setting, in particular in description of black hole solutions [@bh; @gp-bh] and spherically symmetric spacetimes [@bs-spher; @gp]. There exist also studies of different prescriptions within the polymeric quantization [@wigner; @ma; @chi] as well as of the connection between LQC and the noncommutative geometry [@bat]. The effects predicted by LQC were also applied for the regularization of the cosmological models not originating from the polymer quantization [@otros]. The prediction of the bounce and the existence of the branch of the universe evolution preceding it have raised an interesting question: provided that the expanding post-bounce branch is semiclassical, what can we deduce about the pre-bounce one? Does it have to be necessarily semiclassical or can it be completely dispersed and not possible to describe by any classical metric? The preliminary studies performed in context of the simplification of LQC and presented 