Abstract
The Belinski-Khalatnikov-Lifshitz (BKL) scenario concerns the existence of generic singularity of general relativity. Evolving towards that singularity, spacetime enters a chaotic phase. We consider a model of the BKL scenario to get insight into the corresponding quantum dynamics. The integral quantization of the BKL model leads to quantum evolution devoid of singularity. The quantum fluctuations seem to be unable to suppress the classical chaos. These interesting features of quantum dynamics result from the never vanishing variance of considered quantum dynamics. We suggest that these results generalize to a quantum model (to be constructed) of the original BKL scenario.