A post at physics forums has just pointed out to me a fascinating new article on arXiv that one shows that the radioactive decay rate of certain isotopes depends on what time of year one makes the measurement.
A new article, Evidence for Correlations Between Nuclear Decay Rates and Earth-Sun Distance by Jere H. Jenkins, Ephraim Fischbach, John B. Buncher, John T. Gruenwald, Dennis E. Krause, and Joshua J. Mattes, August 25, 2008, suggests that the different decay rates, which have been observed by laboratories in the US and Germany, on Si-32 and Ra-226, are correlated with the distance to the sun, and therefore, to the flux of neutrinos. However, in both sets of data there is a lag which suggests an effect due to the gravitational potential of the sun (which would be modified by the gravitational potential of the local galaxy stars), or perhaps local motion relative to a preferred reference frame. Either way, this is not good news for Einstein.
Relativity as an Anthropic Theory
As creatures of incredibly complicated biochemistry, which involves very large numbers of very carefully constructed molecules, our lives depend on the laws of physics as much as they depend on the earth not getting too close or too far away from the sun.