I won't assume to know enough about the physics to claim there is no change at all,. (Wilt will set that straight for me later )
Wilt has thought me a great deal of things here too.
The debate is IMHO, totally overblown for even the most experienced, technical and nuanced photographers. When it "crops up" in a discussion thread started by a newcomer asking about an upgrade from a kit lens, it is in fact bordering on hilarious.
When I was new to photography using 5.6 kit lenses, I read a long thread that also bordered on hilarious about this same subject. I wish I could find it now, but the subject was macro based and when you are at 1:1, the DOF differences become more apparent because you are at such thin DOF anyhow. But I learned a lot from that thread and I am glad that thread back then went into the ridiculousness it did because now I feel I have a better grasp on the subject. Maybe other new photographers reading this thread now will also learn from it.