I'm on my second loop and I seem to be stuck. There are no battles left to fight (I've cleared 120 of them) and no sense of when the *spoilery* event starting the third loop will happen..
EDIT: Okay, I think the underlying progression math might be going wrong somewhere. The boss showed up at 15,000C since last encounter, by which time I was at 37 grid units, 48M population, 184T military power and had won every battle. And I destroyed it in about 10 seconds. I had only purchased a single galactic secret.