A Physicist Has Calculated That Life Really Could Exist in a 2D Universe
... a so-called Griffiths phase, a ‘stretching’ of the critical point into a region (see  and references therein).
Following Mr McCormac's advice I tried to stretch my imagination to understand the scientific metaphor about stretching a (critical) point.
I know what's a Griffiths phase - the name sounds oriental, but the phenomenon is common in nature. In particular, they appear in disordered systems, where the disorder is not due to something or someone making a mess, but is their natural feature - it's quenched
(there can be temporal Gp, whose physics is pretty much the same if you don't mind swapping the spatial and temporal dimension, but let's not complicate it). A common example is spin glass - a lattice of spins permanently pointing in specific - but random - directions. Imagine a very simple spin glass, the spins interact by two different mechanisms, e.g. one favours their parallel alignment, and the other favours anti-parallel alignment. Consequently the spins look a bit "frustrated". Let's assume that the first interaction is weaker than the second. When you increase the temperature, the first (weaker) interaction gives in to the thermal fluctuations at temperature T1 - that's one critical point/phase transition. You continue to increase the temperature until the second mechanism is overcome at T2 (that's another critical point/transition). The region between T1 and T2, i.e. between two critical transitions, is the Griffiths phase. In short, Griffiths phase is simply a phase between two (or more) critical transitions. Describing it as stretching a critical point is a serious overstretch if you ask me.
BTW, I scanned this paper and I think that the maths is true, but only at absolute zero temperature. A funny thing about the mathematical model of 2D systems is that already at infinitesimally higher temperatures their physics dramatically changes. (They now cheated a bit by engineering extra forces which make this higher-temperature regime imitate the - desired for various reasons, vide graphene - behaviour at 0K, but, as they say, even if you teach a dog meow and it's still just a dog.)