  A fundamental property of an expanding universe is that any time dependent
characteristic of distant objects must appear to scale by the factor $(1+z$).
This is called time dilation. Light curves of type Ia supernovae and the
duration of Gamma-Ray Bursts (GRB) are the only observations that can directly
measure time dilation over a wide range of redshifts. An analysis of raw
observations of 2,333 type Ia supernovae light-curves shows that their widths,
relative to a standard template, have a power-law exponent as a function of
${(1+z)}$, of (0.083 +/- 0.024) which is consistent with no time dilation and
inconsistent with standard time dilation. In addition, it is shown that the
standard method for calibrating the type Ia supernovae light curves (SALT2) is
flawed, which explains why this lack of time dilation has not been previously
observed. \par Nearby observations show that the peak absolute magnitude of
type Ia supernovae is also constant. Here it is shown that the peak absolute
magnitude is independent of redshift if a static universe cosmology, Curvature
Cosmology, is used to provide the distance moduli. Furthermore, it is explained
why the modified $\Lambda$-CDM model provides similar results. \par Analysis of
the duration of GRB shows that they are consistent with no time dilation and
have no support for standard time dilation. Consequently, this paper argues for
a fundamental change from the current paradigm of an expanding universe to one
for a static universe. Some of the major consequences of Curvature Cosmology
are listed.
