You don't hold a ruler right up to an invisible disk; you measure it across the entire universe. Light from a distant quasar, a blazing gas swirling around a supermassive black hole, passes through a lensing galaxy on its way to us. The gravity of stars in that galaxy bends the rays like uneven glass, so in images the quasar appears split, and its brightness flickers slightly. From that flicker, astronomers can reconstruct the size of a source that would otherwise be invisible even to the most powerful telescope: the quasar's disk spans an angle on the sky smaller than a millionth of an arcsecond.
This technique, gravitational microlensing, isn't new. But previously it could only measure the innermost, hottest regions of the disk, out to about five light-days from the black hole. Beyond that, the signal was lost in noise. A team led by Motty and Mediavilla took data from the Hubble Space Telescope for seven lensed quasars, 21 pairs of images, and for the first time reached out to 14 light-days. The key was narrow emission lines in the spectra, such as the oxygen line at 5007 angstroms. These lines are born far from the disk, in slow-moving gas clouds, and microlensing barely affects them. By comparing how the continuous glow of the disk brightens and how these stable lines brighten, you can calculate the disk's size.
The result was puzzling. The disk turned out to be three times larger than the standard thin-disk model predicts, the model where gas spirals like water down a drain, gradually releasing heat through friction. Moreover, the size-wavelength relation went off track: instead of the steep growth expected from simple heating, the disk expands more slowly. The theoretical exponent of 4/3 is rejected with 98% confidence, while the measured value is 0.68. This means the temperature drops with distance more slowly than previously thought.
If the ruler shows the wrong size, the blueprint needs revising. The thin-disk model, which has served faithfully for half a century, fails to describe the outer parts. Perhaps the disk is thicker than we thought, or magnetic fields are at work, something the standard model ignores. For astronomers, this isn't just a tweak to a formula: disk size is used to weigh black holes, so our estimates of the masses of the heaviest objects in the universe could shift. The James Webb Space Telescope, with its infrared vision, will allow us to probe even more distant outskirts of disks and perhaps finally understand how matter falls into the abyss.
A disk size of 13 light-days means that light from its far side takes 13 days longer to reach us than from the near side. If such a disk were placed in the Solar System, its edge would lie far beyond the orbit of Neptune.