A random, statistically uniform signal from many independent sources, as opposed to a single event.A stochastic background is a random, statistically uniform signal that arises from the superposition of many independent, unresolved sources. In gravitational-wave astronomy, for example, the stochastic background is the combined signal from countless distant mergers of black holes and neutron stars, or from processes in the early universe. Unlike a single event like a binary merger, which produces a distinct chirp, a stochastic background is a persistent, random 'noise' that looks like static.
The concept of a stochastic gravitational-wave background was first discussed in the 1970s, with early work by Misner, Thorne, and others. The first detection of a stochastic background was announced in 2023 by the NANOGrav collaboration, using pulsar timing arrays, which found evidence for a background likely from supermassive black hole mergers.
Each individual source emits a weak gravitational wave, but when you add up millions of them from all directions and at all times, the result is a random field. Because the sources are independent, the phases are random, so the total signal is a Gaussian random process. To detect it, you cross-correlate data from two or more detectors: the common signal shows up as a correlated component, while local noise is uncorrelated. The spectrum of the background (how its amplitude varies with frequency) encodes information about the sources that produced it.
It is used to probe the population of black hole mergers, to test models of the early universe (e.g., cosmic strings or inflation), and to measure the rate of events too faint to detect individually.
The stochastic background detected by NANOGrav in 2023 is so faint that it took 15 years of observations of 68 pulsars, each acting as a cosmic clock, to see the correlation pattern.








