  We consider small perturbations to a static three-dimensional de Sitter
geometry. For early enough perturbations that satisfy the null energy
condition, the result is a shockwave geometry that leads to a time advance in
the trajectory of geodesics crossing it. This brings the opposite poles of de
Sitter space into causal contact with each other, much like a traversable
wormhole in Anti-de Sitter space. In this background, we compute
out-of-time-order correlators (OTOCs) to asses the chaotic nature of the de
Sitter horizon and find that it is maximally chaotic: one of the OTOCs we study
decays exponentially with a Lyapunov exponent that saturates the chaos bound.
We discuss the consequences of our results for de Sitter complementarity and
inflation.
