I have proved that the quantum vacuum is consistent with Einstein's theory of special relativity, i.e. invariant under changes of (inertial) reference frame (Lorentz transformations). The proof requires complex time path and is by no means trivial, despite false claims of Physical Review D Editorial Board Member V.P. Nair and Editor-in-Chief G.D. Sprouse.
My published paper:
The European Physical Journal C 73: 2654 (2013)
http://dx.doi.org/10.1140/epjc/s10052-013-2654-9
More about it, including comments on peer-review:
http://www.fuw.edu.pl/~abednorz/riv/