Hi Torsten,
Thank you very much for your detailed analysis of my theory, it was the most pleasant surprise and the real reason for joining the contest.
In short, Probability density is what I get from my system. I get the SOLUTION of SE for a particular setup translated into probability density, but not SE per se. Sorry for the sloppy use of the word wave instead of "the probability density".
Since I will be travelling in the next few weeks for my vacation with my family I cannot elaborate too much now. But it is interesting that I had looked at Wiener process early on as a possible link. The nice/strange thing about my theory it links to so many established ideas in physics that is too difficult to pursue a particular one. But I think I am going to give your hint much more time.
Also one important link that I found is that my system seems to be a generalization of Buffon's needle in the sense that both the needle and the lines become random in size. And that leads a series of connections to :
http://en.wikipedia.org/wiki/Buffon's_needle
http://en.wikipedia.org/wiki/Integral_geometry
http://en.wikipedia.org/wiki/Radon_transform
http://en.wikipedia.org/wiki/Penrose_transform
http://en.wikipedia.org/wiki/Twistor_theory
Thanks again for your generous help, and hopefully elaborate more in the future.
Adel
