We consider real spectra, collections of Z/(2)–spaces indexed
over Z⊕Zα 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
2n+2(2n-1)–periodic Johnson–Wilson
spectrum ER(n) to the usual 2(2n-1)–periodic
Johnson–Wilson spectrum, E(n). Our main result is the fibration
Σλ(n)ER(n)→ER(n)→E(n), where
λ(n)=22n+1-2n+2+1.