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Understanding Baryon Acoustic Oscillations in 3 Minutes

| January 11, 2024

Table of Contents

What Are Baryon Acoustic Oscillations (BAO)?

Baryon Acoustic Oscillations, or BAO, are regular, periodic fluctuations in the density of the visible baryonic matter (normal matter) of the universe. Think of BAO as ripples left over from the early universe, similar to the ripples you see when you throw a stone into a pond.

The Early Universe and Sound Waves

In the first few hundred thousand years after the Big Bang, the universe was a hot, dense plasma of photons (light particles), electrons, and baryons (protons and neutrons). During this time, photons and baryons were tightly coupled together due to frequent interactions. This coupling allowed sound waves—pressure waves—to travel through the plasma.

These sound waves were caused by slight over-densities in matter, which created regions of higher pressure that pushed outward, while gravity pulled matter back inward. This push and pull created oscillations, much like sound waves in the air.

Freeze-Out and the Cosmic Microwave Background

About 380,000 years after the Big Bang, the universe cooled enough for electrons to combine with protons and form neutral hydrogen atoms. This process, known as recombination, allowed photons to travel freely without constantly interacting with matter. These free-streaming photons are what we observe today as the Cosmic Microwave Background (CMB) radiation.

At the moment of recombination, the sound waves in the plasma effectively “froze” in place. The distance that these sound waves had traveled by then left a characteristic scale in the distribution of matter.

BAO as a Cosmic Ruler

The frozen-in sound waves from the early universe left a slight preference for galaxies to be separated by a specific distance. This preferred separation scale is about 150 million light-years today and is known as the BAO scale.

Astronomers use BAO as a “cosmic ruler” to measure the expansion of the universe. By observing the distribution of galaxies and identifying the BAO scale, scientists can determine how much the universe has expanded since the BAO imprint was formed.

Why BAO Matters

  1. Mapping the Universe: BAO provides a reliable standard ruler for mapping the large-scale structure of the universe. This helps in understanding the distribution of galaxies and dark matter.

  2. Measuring Cosmic Expansion: By comparing the BAO scale at different redshifts (distances), astronomers can trace the expansion history of the universe, offering insights into dark energy—the mysterious force driving the accelerated expansion.

  3. Testing Cosmological Models: BAO measurements help validate or challenge different models of cosmology, enhancing our understanding of the universe’s composition and evolution.

Visualizing BAO

Imagine the universe as a vast, expanding balloon with tiny dots representing galaxies. The BAO scale would appear as a preferred spacing between these dots, reflecting the underlying sound wave ripples from the early universe.

Baryon Acoustic Oscillations

Conclusion

Baryon Acoustic Oscillations are a powerful tool in cosmology, providing a bridge between the early universe’s conditions and the large-scale structure we observe today. By studying BAO, scientists can gain deeper insights into the universe’s expansion, the nature of dark energy, and the overall framework of cosmological models.

In just three minutes, you’ve gained a foundational understanding of BAO and their significance in unraveling the mysteries of our cosmos!

References

  1. Szalay, A. S., et al. (2001). “Detecting the Baryon Acoustic Peak in the Large-Scale Correlation Function.” The Astrophysical Journal, 546(1), 665–672. https://doi.org/10.1086/320899

  2. Percival, W. J., et al. (2010). “Baryon Acoustic Oscillations in the SDSS DR7 Galaxy Sample.” Monthly Notices of the Royal Astronomical Society, 403(4), 1829–1851. https://doi.org/10.1111/j.1365-2966.2010.16856.x

  3. Eisenstein, D. J., & Hu, W. (1998). “Baryon Effects on the Matter Transfer Function.” The Astrophysical Journal, 496(2), 605–614. https://doi.org/10.1086/307216

  4. Planck Collaboration. (2018). “Planck 2018 Results. VI. Cosmological Parameters.” Astronomy & Astrophysics, 641, A6. https://arxiv.org/abs/1807.06209

  5. Blake, C., & Glazebrook, K. (2003). “The Baryon Oscillation Signature in the Large-Scale Correlation Function of the Two-Degree Field Galaxy Redshift Survey.” Monthly Notices of the Royal Astronomical Society, 344(3), 1057–1070. https://doi.org/10.1046/j.1365-8711.2000.03704.x