Scale dependent dimension of luminous matter in the universe.

We suggest a geometrical model for the distribution of luminous matter in the Universe, where the apparent dimension, D(l), increases linearly with the logarithm of the scale l. Beyond the correlation length, xi, the Universe is homogeneous, and D = 3. Comparison with data from the SARS redshift catalog, and the LEDA database provides a good fit with a correlation length xi approximately 300 Mpc. This type of scaling structure was recently discovered in a simple reaction-diffusion "forest-fire" model, indicating a broad class of scaling phenomena.