But surely if Gluon wiped out the last six months, even only on a temporay basis, then he wipes out the six months which contain the point at which his probability waveform collapsed to one particular improbability, then he no longer exists in a form capabale of eating the Mudcat, or any other cat for that matter.

In short, losing bits of Mudcat causes Gluon to stop existing, so he can't lose bits of Mudcat.