Echoes of Reionization: How Sound Waves Were Frozen into Quasar Light ✛

Original: "Ringing of the Reionization: A first direct measurement of the intergalactic pressure smoothing scale at redshift z>4.2 as imprinted onto small-scale peculiar velocities in the Lyman-alpha forest"
arXiv:2607.19938v1 · 2026-07-22 · CC BY 4.0 · 3 min
Astronomers have for the first time measured the characteristic size of bubbles left by the echo of reionization in the spectra of distant quasars — a tuning fork for calibrating the heating history of the universe.

Light from quasar J0744+2052 traveled to us for almost 12 billion years. Along the way, it bumped into hydrogen clouds that snatched individual lines from the spectrum — like a comb sifting through delicate frequencies. Astronomers call this pattern the Lyman-alpha forest in spectroscopy. But within this apparent chaos, order unexpectedly emerged. Like an echo of a long-silenced explosion, a characteristic scale — about 30 kiloparsecs, the diameter of the Milky Way — froze into the distribution of lines.

The epoch of Reionization is when the universe, previously dark and neutral, became transparent again. The first stars and galaxies, with their harsh radiation, ionized hydrogen, driving a wave front akin to a sonic boom.

The event itself resembled a thunderclap: the rapid expansion of ionized bubbles — at a speed of about 10 km/s — pushed the plasma, compressing it to scales of 40 kiloparsecs. After the front passed, pressure gradients evened out the density, leaving a “memory” of the thermal shock. This pressure smoothing scale is the acoustic imprint of reionization. In the numerical simulation Sherwood-Relics, where the end time of reionization and the amount of injected energy were varied, researchers saw a distinct peak in the power spectrum of peculiar gas velocities. That is exactly the peak they looked for in real data.

The key to the discovery was the analysis of the quasar flux spectrum from Boera et al. (2019) at redshift 4.2–5.0. Applying an empirical model, they extracted the peak position and obtained direct estimates of the smoothing scale: at z=4.2 it exceeds 33.78 kiloparsecs, at z=4.6 it is 32.36 ± 8.35 kiloparsecs, and at z=5.0 — 31.27 ± 18.28 kiloparsecs. The numbers matched indirect predictions from theory and simulations strikingly well.

A simplified model of expanding spheres, in which gas flows radially at the speed of sound, perfectly reproduced the peak in simulations. After reionization, the universe was filled with about 11 such bubbles per cubic megaparsec — miniature “bells” of galactic size.

Previously, the thermal history of reionization was inferred indirectly — from the general suppression of small-scale fluctuations in the spectrum. Now we have a concrete acoustic feature in our hands, an independent tuning fork that will allow us to calibrate the entire analysis of the Lyman-alpha forest. This sharply reduces uncertainties in the search for light particles of dark matter: their own influence on small scales was hard to separate from thermal effects.

The early universe rang out — and its reverberation, imprinted in absorption lines, is only beginning to tell us about the first billion years. Hearing this echo directly, measuring its loudness and pitch, means holding the key to one of the darkest epochs. New spectroscopic surveys like DESI and WEAVE promise to boost precision by factors of tens, and then the cacophony of the first bubbles will turn into a clear signal.

The expanding spheres model used by the authors reproduced the acoustic peak in simulations with remarkable accuracy, despite its simplicity. After reionization, the universe was filled with about 11 bubbles per cubic megaparsec, expanding at the speed of sound — around 10 km/s. Their collective effect creates the detectable “ringing”.

\eta = -\frac{\nabla_n v_{\rm pec}}{aH}
This quantity shows how quickly the radial velocity of the gas changes compared to the overall expansion of the universe. It is η that distorts the observed spectrum, turning Doppler shifts into absorption peaks.
Scientists
Bernhard RiemannJoseph WeberKarl SchwarzschildKip ThorneRainer WeissAlbert Einstein
Concepts
lyman alpha forest ionosphere Reionization atmospheric pressure planck scale lyman alpha line acoustic oscillations temperature fluctuation