  Recently, scale-scale correlations have been detected in the distributions of
quasar's Ly$\alpha$ absorption lines and the maps of cosmic temperature
fluctuations. In this paper, we investigate the scale-scale correlations in
galaxy distributions. Using samples of mass field given by N-body simulation,
we first show that the scale-scale correlation of 2-D and 3-D mass
distributions at present day is capable of breaking the degeneracy between the
SCDM (standard cold dark matter model) and OCDM (open CDM model) or LCDM (flat
CDM model), and even show the difference between the OCDM and LCDM. Using
biased galaxy samples produced in an appropriate bias model, we show that the
scale-scale correlation of galaxy distribution at zero redshift is still a
powerful tool to break the degeneracy in the parameter space, including both
cosmological and biasing parameters. We analyze the scale-scale correlations of
the APM bright galaxy catalog, and compare it with the mock catalog in the
SCDM, OCDM and LCDM models. We find that all the spectra of local and non-local
scale-scale correlations predicted by the OCDM model are in excellent agreement
with those of the APM-BGC sample, while the SCDM and LCDM mock catalog appear
to have somewhat weaker scale-scale correlations than the observation.
