It's really unfortunate that the "podcast" amounts to the authors reading a press release. Good physicists -- and I think these guys probably are good physicists -- can often give an intuitive picture of what such a density limit is, why it exists, what we think is going wrong in the field today. Because they were confined to just two minutes, it seems, they were forced to alternate awkwardly between reading a prepared statement which explains little and name-drops a couple of ridiculously broad fields ("radiation physics" and "magnetohydrodynamics") briefly.

I mean, there is always a problem with oversimplifying these things, but talking to a layperson doesn't have to be too much different from talking to a fellow physicist; the key difference for me seems to be presenting two or three perspectives on the same thing before going forward.

Here is the backstory to this paper, as I would explain it to laypeople: "So we've got this plasma -- plasmas are like a metallic gas, lightning is a good example; the electrons get shared between the gas molecules so the gas becomes an amazing conductor. Same thing happens whenever we superheat any gas, really. So we've got this superheated gas in a tokamak, which is a big ring which uses magnets to keep the plasma spinning around in a circle without hitting the edges. It's a neat trick, a bit hard to do. Now if we could get the plasma hot enough and dense enough, we could recreate the conditions in the Sun with it, and solve the energy crisis -- this is what's called fusion energy, much cleaner than nuclear fission. But how do we heat it up? Well like I said, this plasma is metallic, it's just like the wire in a light bulb, so we just put a lot of electricity through it, and it heats up and glows. We call that "ohmic heating". But there's a problem. Before it gets hot enough for controlled fusion, we basically run into a wall, we try to pour more current into it and it doesn't get hotter, doesn't get more dense.* And until now we didn't really know why this happened. It's as if the laws of nature just said, 'Eff you, I'm not letting you solve the world's energy problems that easily.' We have an explanation, now, why..."

I haven't read the paper yet but I hope it can rise a bit to a better technical level than the press releases. The press releases are a little elliptical about what their solution entails but it sounds like you have to understand what's happening with certain observed impurities in the plasma.

* From what one of the press releases says it sounds like it might actually kill the containment field and fly apart, but that sounds really strange -- as if it would destroy the tokamak.