The universe is like an ocean, where waves of different lengths roll onto the shore. The longest waves are the giant fluctuations in the distribution of matter that we see in the cosmic microwave background. Standard theory says such waves should exist on all scales. But on the very largest scales, comparable to the size of the visible universe, observations do not give a clear answer: is there even a single wave?
The authors of the paper tested what would happen if there were no waves at all on those scales, as if the ocean suddenly ended at an invisible wall. They considered several versions of such a cutoff and compared them with the latest data of three types: the cosmic microwave background map, distances to distant galaxies from baryon acoustic oscillations, and supernova brightness. It turned out that a cutoff does slightly improve agreement with observations, but the improvement is so small that it does not outweigh the added model parameters.
The scientists also checked whether a cutoff could explain a recent discrepancy in reionization data — the epoch when the first stars ignited and ionized hydrogen. It turns out it does not: suppressing large-scale waves does not provide enough freedom to reconcile all the data. Thus, current observations do not require abandoning the standard spectrum, where waves exist on all scales.
The lowest mode of the cosmic microwave background, the quadrupole, turns out to be noticeably weaker than the standard model predicts. This is one of the long-standing puzzles of cosmology, but statistically it is not strong enough to demand new physics.
In Carl Sagan's novel Contact, the protagonist hears a signal that repeats itself — a hint that the universe might be finite and closed, like the surface of a sphere. A cutoff in the spectrum on large scales would be similar to such finiteness: beyond the horizon, there are simply no waves.