  We consider real spectra, collections of Z/(2)-spaces indexed over Z oplus Z
alpha with compatibility conditions. We produce fibrations connecting the
homotopy fixed points and the spaces in these spectra. We also evaluate the map
which is the analogue of the forgetful functor from complex to reals composed
with complexification. Our first fibration is used to connect the real
2^{n+2}(2^n-1)-periodic Johnson--Wilson spectrum ER(n) to the usual
2(2^n-1)-periodic Johnson--Wilson spectrum, E(n). Our main result is the
fibration Sigma^{lambda(n)} ER(n) --> ER(n) --> E(n)$, where lambda(n) =
2^{2n+1}-2^{n+2}+1.
