  We study the reconstructability of (d+2)-dimensional bulk spacetime from
(d+1)-dimensional boundary data, particularly concentrating on backgrounds
which break (d+1)-dimensional Lorentz invariance. For a large class of such
spacetimes, there exist null geodesics which do not reach the boundary.
Therefore classically we expect some information is trapped in the bulk and
thus invisible at the boundary. We show that this classical intuition correctly
predicts the quantum situation: whenever there are null geodesics which do not
reach the boundary, there are also "trapped scalar modes" whose boundary
imprint is exponentially suppressed. We use these modes to show that no
smearing function exists for pure Lifshitz spacetime, nor for any flow which
includes a Lifshitz region. Indeed, for any (planar) spacetime which breaks
(d+1)-dimensional Lorentz invariance at any radius, we show that local boundary
data cannot reconstruct complete local bulk data.
