  In this paper, we explicitly calculate the aether-like corrections for the
electromagnetic field in the case when the space-time involves an extra compact
spatial dimension besides of usual four dimensions. Our methodology is based on
an explicit summation over the Kaluza-Klein tower of fields which turns out to
be no more difficult than the finite-temperature calculations. We found some
new terms which can be treated as certain five-dimensional generalizations of
the aether-like terms $\kappa^{mnpq}F_{mn}F_{pq}$ and
$\bar{\psi}c^{mn}\gamma_m\partial_n\psi$ which in four dimensions are treated
as important ingredients of the Lorentz-breaking extension of the standard
model. We have shown that these new terms become to dominate in the limit where
the extra dimension is very small, allowing us to suggest that there will be
essential modifications of quantum corrections if our space indeed has a small
extra spatial dimension. Moreover, we have shown that in the CPT-even case we
have extra new particles as a consequence of the extra dimension.
