  We have demonstrated spatially-discontinuous jumps of electrons at a distance
as long as about 1cm. The effect occurs in a modified integer quantum Hall
system consisted of a great number of extended Laughlin-Halperin-type states.
Our observations directly contradict the no-aether Einstein's interpretation of
special relativity together with the Minkowski's model of spacetime. However
they are consistent with the aether-related Lorentz-Poincare's interpretation
that allows absolute simultaneity. We thus strongly challenge the fundamental
status of Lorentz invariance and hence break the basic argument against de
Broglie-Bohm realistic quantum theory. We argue that both de Broglie-Bohm and
Lorentz-Poincare theories are capable of providing a real synthesis of quantum
and relativity theories. The synthesis is of such kind that quantum theory
appears the most fundamental physical theory for which relativity is only a
limiting case. In accordance with this hierarchy, quantum theory naturally
resolves the problem of aether in Lorentz-Poincare's relativity. The aether
could be a deeper Bohm-type undivided quantum pre-space, the relevance of which
directly follows from our observations.
