Abstract
In the upper and lower quadrants of flat spacetime, (\ifmmode\pm\else\textpm\fi{}T>\ensuremath{\Vert}X\ensuremath{\Vert}) it is possible to introduce a system of coordinates in which the metric is explicitly time dependent. The conventional interpretation of quantum field theory, based on a Fock basis, cannot be implemented in a natural fashion in such coordinates. This difficulty suggests that quantum theory is covariant only for a subset of the coordinate transformations which are allowed in the classical theory.
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