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I went through this crap, too, on the G+ profile I actually created (as opposed to THIS one which seems to have been recently auto-created for me).
I was alerted that "Phos FourDots" was not recognizable as a viable "G-legal" nym. I appealed by challenging their determination by sending them links to posts going back a dozen years, to blogs I've run, to my user profiles on a half dozen other websites. So, I changed that profile name to "Amwas Willbe" which I completely made up for the occasion. Apparently, that one was OK.
See this post in my other G+ account: