Comment Based on the article... (Score 5, Informative) 187
they haven't proven or disproven anything at all. They make reference to popular theories and what those theories suggest. This is not proof, it's speculation. They go on to talk about some interesting limitations of the theory. That proves absolutely nothing, but points out that our current theories don't cover all the bases. Then they go on to assume that the limits in our theory are somehow limits to reality itself (utterly unfounded assumption) and therefore simulations are impossible.
The philosophical sloppiness here is remarkable. I suspect that something significant has been lost in translation between the researchers and the article's author. But even then, it sounds like someone is just seeking attention by claiming a proof where there is nothing but wild speculation.
Of course, the notion that our experience of reality is itself a simulation is equally wild speculation, to begin with.
Where the evidence is lacking, the word "proof" generally doesn't apply. The honest scientific answer is "we don't have enough data to draw any conclusions about whether or not the universe is a simulation." And that's that.