  In doubly special relativity (DSR) theories the speed of the light usually
depends on the frequency. Thus, we expect that light from very distant stars
and gamma ray bursts have additional time delays with respect to special
relativity. In this paper, we will find the general DSR transformations in the
first order of the Planck length which have zero time delay. With respect to
these transformations zero time delay isn't only a consequence of special
relativity, and we can find some DSR theories which behave like special
relativity in the first order of the Planck length in some aspects. We notify
that for a correct conclusion in the observations of the quantum gravity
effects we should look to all quantum gravity effects together and not one.
