Successful test results have now been posted at:
http://arxiv.org/ftp/arxiv/papers/0906/0906.3525.pdf .
The discrete self-similarity is quantitatively demonstrated and
involves the masses, n-values, l-values and frequencies of stellar and
atomic analogues. These are direct quantitative tests. Two double-mode
SX Phe stars provide especially rigorous tests of the concepts and
quantitative scaling of DSR.
The results far exceed "coincidence" and I do not believe one could
achieve such results at the > 99% level by subtrifuge, accident, or
even clever "adjustment" if the cited analogue systems were not truly
related by the new symmetry principle of discrete self-similarity (aka
discrete scale invariance).
The implications are admittedly quite shocking and might even be said
to seem "impossible". But the fact is that the same set of 3 amazingly
simple scaling laws, which have not been "adjusted" in over 30 years,
relate a very large number of fundamental parameters of analogue
systems on subatomic, atomic, stellar and galactic scales. So don't
blame me - I'm just the messenger. It appears to be nature with whom
your "problem" lies.
Yours in science,
Robert L. Oldershaw
www.amherst.edu/~rloldershaw
http://independent.academia.edu/RobertLOldershaw