That is the case that +ing amongs many should be gaussian. If the distribution is too narrow to be caussian it tells against the "+ing" theory. Someone who is amadant that it is just a very narrow caussian could never be proven conclusively wrong. However it places restraints on how ranodm the factors can be. At some point the claim of regularity will become implausible. If you have something that claims that throwing a fair dice will always come up with the same number there is an error lurking about.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
Notes for future OT posters:
1. Please add the 'open_thread' tag.
2. Check if there is an active Open Thread before posting a new one. (Immediately before; refresh the list-of-threads page before posting.)
3. Open Threads should be posted in Discussion, and not Main.
4. Open Threads should start on Monday, and end on Sunday.