Please have pity for the idiot in the room. I've tried to look into this concept through a few papers I've found on-line, but the mathematics involved is too far over my head. I'm trying to wrap my head around the general concept of entropy as it applies to a singularity. In a singularity of infinite density, how does one measure the degree of entropy? It seems to me that, depending on how you look at it, you could argue that the singularity is either at maximum entropy OR zero entropy. Is this apparent logical ambiguity one of the reasons that physics "breaks down" at the singularity?