While my response was somewhat frivolous, I was hoping you might stick to the topic of what is being discussed: ergo pi.
It is all well and good that your investigations into measures of distance and time and such are profound and good, but there has to be the right moment to offer them.
Do they offer an insight into pi at the moment?
Time can equate to measures and measures equate to line and arc/circle, but there has to be a coherent connection. Using all kinds of mathematical correspondences to all kinds of other things doesn't go back to the topic, ergo pi.
You may have insights into stuff folk aren't ready to delve into yet, because they haven't reached an area of investigation into such stuff, so you have to go easy with us.
At the moment, we are trying to work out a value of pi according to Egyptian knowledge...and whether there is one value or more. Maybe later we can work out where pi comes from...and that is really hard to do.
Cheers for the now