  In the present work we present a fractal model for the beta relaxation in
supercooled liquids. The macroscopic dynamics is obtained by superposition of
relaxation of independent mesoscopic regions (cages). Scaling relations and
exponents are assumed for the distribution of cage sizes and for the size
dependent response of the independent cages. In this way we obtain some scaling
relations for the average response, in the time and frequency domain. For a
particular choice of the scaling exponents we obtain the scaling relations
predicted by the MCT. The comparison with recent light scattering data reveals
that the scaling exponents of the distribution of cage sizes are universal but
the single cage relaxation depends on the detailed material structure
