  The Regge trajectory of an elastic resonance can be calculated from
dispersion theory, instead of fitted phenomenologically, using only its pole
parameters as input. This also provides a correct treatment of resonance widths
in Regge trajectories, essential for very wide resonances. In this work we
first calculate the K*0(1430) Regge trajectory, finding the ordinary almost
real and linear behavior, typical of quark-antiquark resonances. In contrast,
for the K*0(800) meson, the resulting Regge trajectory is non-linear and has a
much smaller slope than ordinary resonances, being remarkably similar to that
of the f0(500) or sigma meson. The slope of these unusual Regge trajectories
seems to scale with the meson masses rather than with scales typical of quark
degrees of freedom. We also calculate the range of the interaction responsible
for the formation of these resonances. Our results strongly support a
non-ordinary, predominantly meson-meson-like, interpretation for the lightest
strange and non-strange resonances.
