The characteristic scale of the frozen baryon acoustic oscillations, used as a standard ruler for cosmic distances.The sound horizon is the maximum distance that sound waves could travel in the primordial plasma before the universe cooled enough for matter and radiation to decouple. This scale, about 150 megaparsecs today, is imprinted in the distribution of galaxies as a preferred separation — the baryon acoustic oscillations (BAO). It serves as a standard ruler for measuring cosmic distances, allowing astronomers to map the expansion history of the universe and probe dark energy.
The concept of baryon acoustic oscillations was developed in the 1990s, with the sound horizon scale predicted from cosmic microwave background measurements. The first detections in galaxy surveys came in 2005 from the Sloan Digital Sky Survey and the Two-Degree Field Galaxy Redshift Survey.
In the early universe, photons and baryons were tightly coupled, forming a fluid that supported sound waves. Dark matter, however, did not interact with this fluid. The waves propagated outward from overdense regions until recombination, when photons decoupled and the waves froze. The resulting shell of baryons around the original density peak left a characteristic scale in the matter distribution, visible today as a slight excess of galaxies at a fixed separation.
BAO measurements are a key probe in dark energy surveys like DESI and Euclid, helping to constrain the equation of state of dark energy and the curvature of the universe.
The sound horizon is also known as the 'standard ruler' of cosmology, and its measurement from the cosmic microwave background gives the most precise estimate of the universe's age.



