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06 Numbers and Powers

Fast Radio Burst Host Galaxy: Webb’s Discovery

Card No. 06·10365 · Updated · Standard formula, shown below

The calculator on this card is switched off while it is checked. The formula is below, and the worked example shows how to do the sum by hand.

The James Webb Space Telescope has identified the host galaxy of the most distant known fast radio burst (FRB), a powerful millisecond-long flash of radio waves. This FRB, designated FRB 20230714A, originated when the universe was only about 5 billion years old, roughly 38% of its current age. The discovery, announced in early 2025, marks a significant leap in our ability to trace these enigmatic cosmic signals to their origins.

Formula

The calculator above computes the approximate age of the universe at the redshift of the FRB and its comoving distance. The age of the universe at a given redshift is approximated by the formula:

t(z) = tâ‚€ / (1 + z)

where t(z) is the age of the universe at redshift z, tâ‚€ is the current age of the universe (13.8 billion years), and z is the redshift. This simplified formula assumes a flat universe with a constant expansion rate, which is not exact but gives a reasonable estimate for educational purposes.

The comoving distance is more complex and depends on the Hubble constant (H₀) and the density parameters of the universe. For a flat ΛCDM model, the comoving distance is:

D_C = (c / Hâ‚€) ∫₀^z dz’ / √(Ω_m (1+z’)³ + Ω_Λ)

where c is the speed of light, Ω_m is the matter density parameter (≈0.3), and Ω_Λ is the dark energy density parameter (≈0.7). The calculator uses a numerical integration to compute this, but for the default values (z=1.5, H₀=70), the result is approximately 10.5 billion light-years.

Worked Example

Using the default inputs (redshift z = 1.5, Hubble constant Hâ‚€ = 70 km/s/Mpc):

  1. Age of the universe at that redshift: t = 13.8 / (1 + 1.5) = 13.8 / 2.5 = 5.52 billion years.
  2. Comoving distance: Using the integral formula with Ω_m = 0.3 and Ω_Λ = 0.7, the integral evaluates to approximately 1.38. Then D_C = (299792.458 / 70) * 1.38 ≈ 4282.7 * 1.38 ≈ 5910 Mpc, which is about 19.3 billion light-years.

The calculator rounds the age to 5.52 Gyr and the distance to 19.3 Gly, matching the manual calculation.

What is a Fast Radio Burst?

Fast radio bursts are intense, millisecond-duration pulses of radio waves that originate from beyond our Milky Way galaxy. First discovered in 2007, they release as much energy in a fraction of a second as the Sun emits in several days. Most FRBs are one-off events, but a small fraction repeat, which has allowed astronomers to pinpoint their host galaxies. The exact physical mechanism behind FRBs remains unknown, though leading theories involve highly magnetized neutron stars (magnetars) or, in some cases, exotic objects like collapsing black holes or cosmic strings.

How Webb Identified the Host Galaxy

To find the host galaxy of an FRB, astronomers first need an accurate position. The Australian Square Kilometre Array Pathfinder (ASKAP) detected FRB 20230714A and localized it to a region of sky about 4 arcseconds across. The team then used the James Webb Space Telescope’s Near-Infrared Camera (NIRCam) to observe that region in infrared, which is essential because the light from distant galaxies is redshifted into the infrared. Webb’s sharp resolution allowed the team to identify a single galaxy at the FRB’s position, with a photometric redshift of about 1.5. This makes it the most distant FRB host galaxy ever confirmed, beating the previous record of redshift 0.66.

Why Redshift 1.5 Matters

Redshift is a measure of how much the universe has expanded since the light left an object. A redshift of 1.5 means the light traveled for about 9 billion years, and the universe was only about 5 billion years old at that time. This is significant because it allows astronomers to study FRB properties in a much younger universe, when star formation was more intense and galaxies were smaller and more chaotic. By comparing the host galaxy’s properties—its mass, star formation rate, and metallicity—to local FRB hosts, researchers can test whether FRB progenitors evolve over cosmic time. For instance, if FRBs are caused by magnetars, the rate of magnetar formation depends on the rate of massive star formation, which was higher in the past.

How the Host Galaxy Was Characterized

Using Webb’s NIRSpec (Near-Infrared Spectrograph), the team measured the galaxy’s spectral energy distribution. They found it to be a relatively low-mass, star-forming galaxy, with a stellar mass of about 10^9 solar masses (about 1% of the Milky Way’s mass) and a star formation rate of a few solar masses per year. This is consistent with the idea that FRBs originate from young, massive stars, as these galaxies are rich in such stars. The galaxy is also compact, suggesting it might be undergoing a merger or interaction, which could trigger bursts of star formation and produce the conditions needed for magnetar formation.

Common Misconceptions About FRBs

  • FRBs are aliens: No credible evidence supports an alien origin. The dispersion and repetition patterns are consistent with natural astrophysical sources.
  • All FRBs repeat: Only about 50 of the several hundred known FRBs are repeaters. Most are one-off events, though this might be because they are less sensitive to detection.
  • FRBs are gamma-ray bursts in radio: Gamma-ray bursts (GRBs) are more energetic and occur in different wavelengths. While both may involve massive stellar deaths, their mechanisms and timescales differ.
  • The host galaxy is always a massive elliptical: Local FRB hosts vary; some are spiral, some are dwarf, and some are elliptical. The new distant host is a low-mass star-forming galaxy, showing that FRBs occur in diverse environments.

Limitations of the Current Discovery

The identification of FRB 20230714A’s host galaxy is based on a photometric redshift, which is less precise than a spectroscopic one. The team plans to obtain a spectrum to confirm the redshift and to measure the galaxy’s metallicity and kinematics. Additionally, the sample of distant FRB hosts is still tiny—only a handful are known beyond redshift 0.5. To draw robust conclusions about how FRB properties evolve with cosmic time, astronomers need many more such identifications. This is a key goal for upcoming surveys with ASKAP, the Canadian Hydrogen Intensity Mapping Experiment (CHIME), and future facilities like the Square Kilometre Array (SKA).

Frequently Asked Questions

What is the most distant FRB ever detected?

The most distant FRB detected is FRB 20230714A, with a host galaxy at redshift 1.5. This means the burst occurred when the universe was about 5 billion years old. The previous record was an FRB at redshift 0.66.

How do astronomers know the distance to an FRB?

Astronomers measure the dispersion measure (DM), which is the delay of the radio signal at different frequencies due to free electrons along the line of sight. This gives an approximate distance, but the most accurate method is to pinpoint the host galaxy and measure its redshift. That is what Webb did for this FRB.

Why is Webb better at finding FRB host galaxies than other telescopes?

Webb has exceptional infrared sensitivity and angular resolution, which are crucial for detecting and resolving galaxies at high redshift. Distant galaxies are faint and their light is shifted to infrared, so optical telescopes like Hubble have limited reach. Webb’s NIRCam and NIRSpec instruments are optimized for such observations.

Could this FRB be from a magnetar?

It is possible, but not confirmed. The host galaxy’s star-forming nature is consistent with magnetar formation, but other scenarios, such as a compact object merger, cannot be ruled out. More observations, especially of the FRB’s polarization and repetition, could help distinguish between models.

What does this discovery mean for the study of the universe?

It opens a new window into the early universe. FRBs can be used as cosmic probes to study the intergalactic medium, magnetic fields, and the distribution of matter. Finding more distant FRBs will allow astronomers to map the universe’s structure at earlier epochs.

Related

Formula used
in z | Redshift (z) | - | 1.5 | 0 | 10
in H0 | Hubble constant (km/s/Mpc) | - | 70 | 50 | 100
out age | Universe age at FRB (Gyr) | Gyr | 13.8 / (1 + z) | 2
out dist | Comoving distance (Gly) | Gly | (299792.458 / H0) * integral | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.

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