  The dynamics of the general Bianchi IX spacetime, near the gravitational
singularity, underlies the Belinskii, Khalatnikov and Lifshitz scenario.
Asymptotically, near the singularity, the oscillations of the directional scale
factors (defining the spacetime metric) are freezed so the evolution of the
Bianchi IX model is devoid of chaotic features. However, it includes special
structures, that we call the wiggles, which change their properties in the
asymptotic regime. We propose the formalism, based on an affine quantization
scheme, to examine the fate of the wiggles at the quantum level. We present the
way of comparing the classical wiggles with their quantum counterparts. We
expect that our work may contribute towards understanding some quantum aspects
of the BKL scenario.
