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Baryon acoustic oscillations

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Baryon acoustic oscillations, or BAO, are fluctuations in the density of baryonic matter. Baryonic matter is simply the normal matter that makes up everything we see. These fluctuations were caused by acoustic density waves in the primordial plasma of the early universe. In cosmology, BAO serves as a "standard ruler" for measuring length scales. Just as astronomers use supernovae as "standard candles" to measure distance, they use the clustering of BAO matter to measure the universe. This ruler is defined by the maximum distance acoustic waves could travel before the plasma cooled. This distance is now approximately 490 million light-years in our modern universe.

To understand this mechanism, we must look at the very early universe. It consisted of a hot, dense plasma of electrons and baryons, such as protons and neutrons. Photons, which are particles of light, were trapped in this plasma. They could not travel far before interacting with the plasma through a process called Thomson scattering. The average distance a photon travels before such an interaction is the mean free path. As the universe expanded, the temperature of this plasma dropped. When it fell below 3000 K, a process called recombination occurred. During recombination, electrons and protons combined to form neutral hydrogen atoms.

This recombination changed how light and matter interacted. Photons began to interact much less with neutral matter. This allowed photons to decouple from the matter and free-stream through space. This event left behind the cosmic microwave background (CMB) radiation.

WMAP 2012
WMAP 2012

We can see this radiation today as radio waves. Looking at data from the Wilkinson Microwave Anisotropy Probe (WMAP) is like looking back in time. It shows us the universe when it was only 379,000 years old. At that age, the BAO bubbles had a radius of 450,000 light-years.

Before decoupling, gravity and pressure worked against each other. In an overdense region, gravity pulled matter inward. However, the heat from photon-matter interactions created intense outward pressure. These competing forces created oscillations, much like sound waves in air. These spherical sound waves carried both baryons and photons outward. They moved at a speed slightly over half the speed of light. Dark matter did not participate in this pressure. Because dark matter only interacts gravitationally, it stayed at the center of the original overdensity.

Once decoupling happened, the photons diffused away. This relieved the pressure on the system. The baryons were left behind in spherical shells. The most significant shell is the resonant shell, also called the sound horizon. This is the distance the first wave traveled before the pressure vanished. After this, only gravity remained to act on the baryons. This left matter concentrated at both the original center and at the shell's radius. These density ripples acted as gravitational seeds. They eventually grew into the large-scale structures of galaxies we see today.

Scientists have used large surveys to find these patterns. The Sloan Digital Sky Survey (SDSS) used a 2.5-metre telescope at Apache Point Observatory. This survey created a three-dimensional map of the nearby universe. The SDSS team analyzed 46,748 luminous red galaxies across 3,816 square-degrees of sky.

Sloan BAO Slice
Sloan BAO Slice

They used a two-point correlation function to find the signal. This function measures the probability of finding one galaxy at a specific distance from another. In 2005, the SDSS team detected the BAO signal. This discovery was shared by the 2dFGRS collaboration.

Correlation Function for BAO
Correlation Function for BAO

Both groups were awarded the 2014 Shaw Prize in Astronomy for this work.

Measuring BAO is vital for studying dark energy. Dark energy is the force causing the accelerated expansion of the universe. BAO provides a way to measure this acceleration that is independent of supernova observations. By comparing the sound horizon at recombination to the sound horizon measured in galaxy clustering today, cosmologists can constrain cosmological parameters. This helps determine if dark energy behaves like a cosmological constant or a different type of field.

Sloan BAO Slice
Sloan BAO Slice

In 2023, researchers using SDSS data claimed to find an individual BAO bubble. This structure, named Ho'oleilana, contains several massive superclusters.

BAO connects many different areas of physics and astronomy. It links the physics of the very early universe to the large-scale structure of the cosmos. It also connects general relativity to the study of dark energy. By using the sound horizon as a measuring stick, scientists can test the Friedmann equations. These equations describe how the universe expands based on density and pressure. Through BAO, the tiny ripples of the primordial plasma become a map for the entire history of cosmic growth.

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File:WMAP 2012.png
WMAP 2012.png
File:Sloan BAO Slice.jpg
Sloan BAO Slice.jpg
File:Correlation Function for BAO.jpg
Correlation Function for BAO.jpg
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