Thank you very much for your thoughts; I'm happy I've not irritated you, Mr. Drakkith. I've been following the literature about dark matter for a number of years. I understand very little of the technical arguments as mathematically expressed (I wilted shortly after calculus), but the concepts surrounding the mystery of dark matter have continued to amaze me, and I realize its quantification is cardinal to our understanding of our world. I also think it's extremely important to understand its nature, and so far there hasn't been a profound breakthrough. It deserves our closest scrutiny. In my life all too often my ignorance has hidden behind my certainty. BTW. I doubt Greg B. wants me cross talking so much. I'll cease and desist as of now. Again, thanks for everyone's opinions and thoughts.