Cai Easson avoid "eternal inflation", use Higgs to seed structure Cai and Easson's paper takes off from the seminal paper of Shaposhnikov and Wetterich that is discussed here at BTSM https://www.physicsforums.com/showthread.php?t=560031 Shapo-Wetter predicted 126 GeV Higgs in 2009 on the assumption, among other things, that gravity is safe in the high energy limit, i.e. the couplings run to a fixed point. The Cai Easson paper is important, I think, and should have its own discussion thread. They demonstrate something which I think many people must have suspected, if they follow the safe gravity literature, namely that you get inflation without needing an inflaton field.. Because as energy scale k grows the dimensionless form of the cosmo constant Λ/k2 goes to a finite number which means that the cosmo constant Λ itself becomes infinitely large! (Since newton G and cosmic Λ are dimensionful quantities--not numbers--this is a slight abuse of notation but) to put it casually, in safe gravity we have that: Λ → ∞ and G → 0. That's certainly suggestive that the running of couplings at high energy density could be enough to cause adequate inflation in the very early universe, without making up a special "inflaton" field. And Cai Easson paper works that out in some detail, so it is potentially important. Another extremely nice thing about it is that it uses the quantum fluctuations of the Higgs field to produce the observed incipient structure observed in the blotchy pattern of ancient light (the cosmic background radiation spatial variation power spectrum). Earlier inflation scenarios had attributed the blotchiness to quantum fluctuations in the imagined "inflaton" field. Bringing an "inflaton" field into the picture had caused some big head aches. Once you let one in the door it complicates the picture by producing a lot of unnecessary and untestable stuff (that however string theorists can have fun with so you could say its good for something). And the "inflaton" requires considerable fine-tuning so the universe seems rather unlikely to have happened, and so on. Cai Easson take care of such problems by eliminating the inflaton and running up Lambda.