Hello. You've posted a few questions in the Rigorous Science category, and I wonder if you meant to post them in Q&A instead? Rigorous Science is intended for questions that have already had some research behind them -- think science journals rather than more casual settings. See these category guidelines (also linked from the category description/summary at the top of the posts list).

No, I definitely meant to post them in Rigorous Science. Whether that is the most appropriate place is another matter. I would like the answers to be based on rigorous science. Where appropriate I would like to see equations and citations. My questions fail because the research I have done ranges from cursory to none at all.

There is a simple reason for this. Although the subjects interest me they are of no practical importance. If I needed to I could probably answer the questions for myself. It might well involve several days work and at the end of it there would be no reason for me to ask anything here.

Instead I ask a question here in the hope that it might be read by someone familiar with the subject who is able to answer the question in a short time from her own knowledge, and that furthermore the answers may interest other people.

Thanks for your reply. I hope you get the answers you're looking for. (I'm not equipped to help, sorry.)