Hello everyboy, I made an experiment over a period of several months using my inverter (the home version with 610 million constants). I took the latest values of the CODATA 2002 NIST table of physical constants and tried a vast experiment to find any reasonable mathematical expression for those ratios. http://physics.nist.gov/cuu/Constants/Table/allascii.txt That data is from december 2003. I used many simple and naive models to try to find anything, any possible expression as long as it is simple, short and easily explained. Here are the results : http://www.lacim.uqam.ca/~plouffe/Search.htm Important note : that article (preprint) is an exercice in numerical analysis and an attempt to find a mathematical and simple expression and NOT any attempt to any physical theory. My knowledge of physics is naive and probably outdated. I have no idea if this is making any sense in the real physical world. It is only <the best possible mathematical expression> that could exist for those numbers that have been found using what I believe are appropriate tools. The tables I used are the ones on the Inverter and a set of specialized tables constructed from the OEIS and my own tables that are not yet public. There are 2 main findings : First I discovered a weakness in the PSLQ, LLL or integer relations algorithm that only exist for a specific type of numbers. Second, I propose a set of at least 12 values among the 28 known values (actually there are 14 + inverses). In other words, I have a mathematical expression for 12 of the 14 values. These expressions are all generated by 1 number only. The second finding is related to the first as explained in the article. The article (preprint) as been submitted to a known periodical. Simon Plouffe