Taking the collapse of the quantum state to be hyperplane-dependent represents
one way of ensuring that quantum state collapse is compatible with the Lorentz
invariance requirement of special relativity, understood as a prohibition
against picking out a preferred inertial frame. Negative assessments of the
hyperplane dependence strategy point to conceptual and technical problems
of the view. I argue that several of these problems turn out to be less weighty
than their proponents suggest. I then point out what I take to be the more
significant problems for the strategy.