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06 Numbers and Powers

Fast Radio Bursts: What They Reveal About the Universe

Card No. 06·13253 · 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.

Fast radio bursts (FRBs) are millisecond-long flashes of radio energy from deep space, and they reveal the universe’s hidden matter, the nature of extreme astrophysical objects, and the large-scale structure of the cosmos. By measuring how these bursts are delayed and distorted as they travel, astronomers can weigh the diffuse gas between galaxies, probe magnetic fields, and even test fundamental physics. This article explains what FRBs are, what they tell us, and why they have become one of the most exciting mysteries in modern astronomy.

Formula

The key quantity for an FRB is its dispersion measure (DM), which is the integrated electron column density along the line of sight. In astrophysical units, DM is defined as:

DM = ∫ ne dl

where ne is the electron number density (in cm�³) and dl is the path length (in parsecs). The DM is directly measured from the arrival times of different frequencies: higher frequencies arrive slightly earlier. The calculator above converts DM to a physical electron column density (in units of 10¹� cm�²) and gives an approximate comoving distance assuming a flat ΛCDM cosmology with H₀ = 67.8 km/s/Mpc and Ωm = 0.308. The distance calculation uses a numerical integration of the comoving distance formula:

DC = (c/H₀) ∫₀ᶻ dz′ / √(Ωm(1+z′)³ + ΩΛ)

where c is the speed of light, H₀ is the Hubble constant, and ΩΛ = 1 − Ωm. The integral is evaluated numerically for the given redshift.

Worked Example

Using the default values: burst duration = 1 ms, DM = 500 pc/cm³, redshift = 0.5.

  • Electron column density = 500 pc/cm³ × 3.086×10¹â�¹ cm/pc = 1.543×10²² cmâ�»Â², which is 1543 × 10¹â�¹ cmâ�»Â². The calculator shows 1543.00 (in units of 10¹â�¹ cmâ�»Â²).
  • Comoving distance: for z = 0.5, the integral evaluates to about 0.421 (dimensionless). Then DC = (299792.458 km/s / 67.8 km/s/Mpc) × 0.421 = 4423.5 Mpc × 0.421 = 1862 Mpc ≈ 1.86 Gpc. The calculator shows 1.86 Gpc.

So a burst with DM 500 pc/cm³ and redshift 0.5 is roughly 1.86 gigaparsecs away (about 6 billion light-years).

What Are Fast Radio Bursts?

Fast radio bursts are intense pulses of radio waves that last only a few milliseconds, yet they can outshine entire galaxies in radio frequency. They were first discovered in 2007 by Duncan Lorimer and his student David Narkevic while sifting through archival data from the Parkes Observatory in Australia. For years, the sample remained tiny, and some suspected terrestrial interference. The breakthrough came in 2013 when the Arecibo Observatory detected a repeating burst (FRB 121102), proving that at least some FRBs are real cosmic sources and not one-off events. Since then, dedicated surveys like CHIME in Canada and ASKAP in Australia have found hundreds more, with a mix of repeaters and apparent one-offs.

How Do We Detect Them?

FRBs are detected by radio telescopes that monitor large patches of sky. Because the bursts are so short, the telescopes record enormous amounts of data in real time, and sophisticated algorithms search for the characteristic swept-frequency signature. The key measurement is the dispersion measure: as the radio waves travel through ionized gas, lower frequencies are delayed more than higher frequencies. This delay is proportional to the total number of free electrons along the line of sight. By measuring the delay across a wide frequency band, astronomers can compute the DM and thus infer the amount of matter the signal has passed through.

Revealing the Missing Baryons

One of the most profound discoveries from FRBs is that they account for the “missing baryons� in the universe. Ordinary matter (baryons) makes up about 5% of the universe, but when astronomers count all the stars, gas clouds, and galaxies, they find only about half of that expected matter. The rest is thought to be in the diffuse intergalactic medium (IGM) – hot, thin gas that is nearly invisible. FRBs act as cosmic probes: their DM includes a contribution from the IGM, which is directly proportional to the distance. By measuring DMs of FRBs at known distances (from their host galaxies), astronomers have confirmed that the missing baryons are indeed in the IGM. The first such measurement came in 2020 with FRB 180924, which was localized to a massive galaxy at redshift 0.32, and its DM matched the expected IGM contribution.

Probing Magnetic Fields

FRBs also carry information about magnetic fields. As linearly polarized radio waves travel through a magnetized plasma, their polarization angle rotates (the Faraday effect). The amount of rotation is quantified by the rotation measure (RM), which depends on the magnetic field strength along the line of sight and the electron density. By measuring the RM of an FRB, astronomers can infer the magnetic field in the host galaxy, in the IGM, and even in the local environment of the source. Some FRBs show extremely high RMs, indicating that they originate in highly magnetized regions, possibly near a magnetar or inside a supernova remnant. For example, the repeating FRB 121102 has a RM that is thousands of times larger than typical, suggesting it lies in a dense, magnetized plasma.

Testing Fundamental Physics

Because FRBs travel across billions of light-years, they can be used to test Einstein’s equivalence principle, the constancy of the speed of light, and even the quantum nature of spacetime. For instance, if the speed of light depends on energy (as some quantum gravity theories predict), then different frequencies of an FRB would arrive at slightly different times, beyond what dispersion alone can explain. So far, the arrival times of FRB frequencies show no such energy-dependent delay, placing tight constraints on quantum gravity models. Additionally, FRBs can be used to measure the cosmic expansion history by comparing their DMs to their redshifts, complementing supernova and CMB measurements.

What Are the Sources?

The exact engine behind FRBs remains unknown, but the leading hypothesis is that they are produced by magnetars – highly magnetized neutron stars. In 2020, the Milky Way’s own magnetar SGR 1935+2154 emitted a burst of radio waves that resembled a faint FRB, providing strong evidence that magnetars can produce such bursts. Other proposed sources include merging neutron stars, collapsing magnetars, and even cosmic strings. The fact that some FRBs repeat and others do not suggests there may be multiple mechanisms. The repeating ones might come from young magnetars in supernova remnants, while non-repeating ones could be catastrophic events like neutron star mergers. The CHIME telescope has found that repeaters tend to have slightly different properties than non-repeaters, such as longer pulse widths, hinting at different origins.

How to Choose a Detection Method

If you are an amateur astronomer or a student, you won’t detect FRBs with a backyard telescope – they require large radio dishes and sophisticated signal processing. However, you can analyze public data from projects like CHIME or the Breakthrough Listen initiative. To get started, you need to understand the DM and how to plot a “waterfall� diagram (frequency vs. time). Many online tutorials use Python to read filterbank files from the Parkes or CHIME archives. Choose a known FRB (e.g., FRB 121102) and try to measure its DM from the data. This hands-on approach teaches the same principles that professional astronomers use.

Common Misconceptions

A common misconception is that FRBs are “alien signals.� While the possibility of an artificial origin has been discussed, the natural explanations (magnetars, mergers) are far more likely. Another misconception is that dispersion measure equals distance directly – in reality, DM includes contributions from the Milky Way’s halo, the host galaxy, and the IGM, so you must subtract the local contributions to get the cosmological part. Also, some think that all FRBs repeat; in fact, most do not, and even repeaters often show long quiet periods. Finally, the term “fast� refers to the short duration, not the speed of the burst – all radio waves travel at the speed of light.

Frequently Asked Questions

How far away are fast radio bursts?

Most FRBs are extragalactic, with distances ranging from a few hundred million light-years to over 10 billion light-years. The DM provides a rough distance estimate, but precise distances come from localizing the burst to a host galaxy and measuring its redshift. The farthest localized FRB (as of 2024) is at redshift ~1.0, about 8 billion light-years away.

Can fast radio bursts be used to map the universe?

Yes, in principle. By measuring the DM of many FRBs across the sky, astronomers can map the distribution of ionized gas in the cosmic web. This is similar to how cosmic microwave background maps the early universe, but FRBs trace the more recent epoch of structure formation. Large surveys like CHIME are building a catalog of thousands of FRBs that will enable such tomographic mapping.

Are all fast radio bursts the same?

No. Some repeat, others do not. Repeaters tend to have wider pulses and sometimes show sub-bursts, while non-repeaters are often narrower. There are also “burst storms� where a repeater emits dozens of bursts in a short period. The diversity suggests multiple source mechanisms or different environments.

What is the difference between dispersion measure and rotation measure?

Dispersion measure (DM) is the integrated electron density along the line of sight, causing frequency-dependent delays. Rotation measure (RM) is the integrated product of electron density and magnetic field along the line of sight, causing rotation of the polarization angle. DM tells you about the amount of matter, while RM tells you about the magnetic field.

Could a fast radio burst hit Earth?

FRBs are radio waves, not particles, so they are harmless. They are extremely energetic, but the energy is spread over a wide area and the bursts are brief. Even the closest known FRB (from the Milky Way magnetar) had no effect on Earth. The only “danger� is to sensitive radio equipment, but that is easily shielded.

Limits and Future Directions

The current sample of FRBs is still small, and most are found at high Galactic latitudes where the Milky Way’s contribution is low. The main limitation is the uncertainty in the DM–distance relation, which depends on the distribution of baryons in the IGM. Future telescopes like the Square Kilometre Array (SKA) will detect thousands of FRBs per day, allowing precise cosmological measurements. Also, the combination of FRB DMs with fast radio burst localizations will help refine the Hubble constant measurement, potentially resolving the “Hubble tension� – the discrepancy between local and early-universe measurements of the expansion rate.

Related

Formula used
in t | Burst duration (ms) | ms | 1 | 0.001 | 1000
in dm | Dispersion measure (pc/cm³) | pc/cm³ | 500 | 0 | 5000
in z | Redshift | - | 0.5 | 0 | 10
out ne | Electron column density (10^19 cm�²) | 10^19 cm�² | dm * 3.086e19 / 1e19 | 2
out dist | Comoving distance (Gpc) | Gpc | (299792.458 / 67.8) * integral | 2

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