  The incidence of planetary systems orbiting red dwarf stars with masses less
than 0.4 solar masses provides a crucial observational test for the
Self-Similar Cosmological paradigm. The discrete self-similarity of the
paradigm mandates the prediction of anomalously few planetary systems
associated with these lowest mass red dwarf stars, in contrast to conventional
astrophysical assumptions. Ongoing observational programs are rapidly
collecting the data necessary for testing this prediction and preliminary
results are highly encouraging. A definitive verdict on the prediction should
be available in the near future.
