Some scenarios describing the fate of the matter vs dark energy tug of war on the universe involve the acceleration of the universe increasing to the point that it ends up ripping apart even atoms. This is called the Big Rip.
This makes no sense to me. It looks like all of these GR models of the universe assume it has a uniform isotropic distribution of matter and energy. This works great at long scales, but is also clearly wrong even at the length scale of the separation of galaxies.
The density of atomic nuclei remains the same even though the universe is expanding even as we speak. I don't think the "scale" in the Friedmann equation can be interpretted so literally. Or maybe said better, it's got to break down when the cosmological horizon distance gets to the scale where the isotropic assumption breaks down, right?
How can scientists be claiming that run away expansion will rip apart atoms?