  We study the nature of a family of curvature singularities which are
precisely the timelike cousins of the spacelike singularities studied by
Belinski, Khalatnikov, and Lifshitz (BKL). We show that the approach to the
singularity can be modeled by a billiard ball problem on hyperbolic space, just
as in the case of BKL. For pure gravity, generic chaotic behavior is retained
in (3+1) dimensions, and we provide evidence that it disappears in higher
dimensions. We speculate that such singularities, if occurring in AdS/CFT and
of the chaotic variety, may be interpreted as (transient) chaotic
renormalization group flows which exhibit features reminiscent of chaotic
duality cascades.
