A Record That Can't Be Broken Because the Run-Up Is Too Short ✛

Original: "Sub-Millisecond Pulsars: Missing or Impossible?"
arXiv:2608.23704v1 · 2026-08-24 · CC BY 4.0 · 2 min
Why among hundreds of millisecond pulsars there isn't a single sub-millisecond one: physics, statistics, and observational selection.

It's like a sprint record: to break it, you need a perfect run-up. But for sub-millisecond pulsars, the run-up is too short. The fastest known pulsar, PSR J1748-2446ad, spins 716 times per second — faster than a kitchen blender. If it were the size of Earth, a point on its equator would move at about 0.24 times the speed of light. But why doesn't any pulsar spin even faster? Physics doesn't forbid it: a neutron star can withstand higher speeds. The prohibition comes from astrophysics — from how pulsars get spun up.

A neutron star is born slow, and it becomes fast when a companion star transfers matter onto it (accretion). Each gram that falls adds rotational momentum, like a figure skater pulling in their arms. To spin up to a period of 1 millisecond, the star needs to accumulate at least 0.25 solar masses. That's a huge amount: with typical accretion efficiency of 20–30%, the donor star must lose 2–4 solar masses. But such massive stars live short lives and transfer matter too quickly, like trying to fill a glass from a fire hose: most of the water splashes past. As a result, the spin-up never reaches the sub-millisecond threshold.

Even if a sub-millisecond pulsar does form, it will spin down to a period longer than 1 ms within a few hundred million years, unless its magnetic field is weaker than $10^7$ G. It's like a top spun up to a furious speed, but it quickly loses revolutions due to air friction.

But maybe sub-millisecond pulsars exist and we just don't see them? The authors checked that too. They inserted 40,000 artificial sub-millisecond pulsars into real MeerKAT telescope data and ran them through standard search pipelines. It turned out that at short periods, sensitivity indeed drops due to scattering of radio waves in the interstellar medium. But bright pulsars with strong signals could not have been missed. The statistics of observed periods show: the probability of finding a pulsar with a period shorter than 1 ms is practically zero.

So, the record isn't unbroken because the judges aren't looking carefully, but because the run-up is too short. Sub-millisecond pulsars are not forbidden by physics, but their formation is suppressed by astrophysical constraints. This shifts the focus from searching for exotic limits to more down-to-earth aspects of stellar evolution. Future gravitational-wave observatories, such as the Einstein Telescope and Cosmic Explorer, will be able to test whether gravitational radiation limits spin at the ~716 Hz limit. For now, the fastest pulsar remains the record holder, and its record may never be broken.

The fastest known pulsar, PSR J1748-2446ad, spins 716 times per second — faster than a kitchen blender. If it were the size of Earth, a point on its equator would move at about 0.24 times the speed of light.

In Robert Forward's novel "Dragon's Egg," a neutron star spins so fast that creatures live on its surface perceiving time differently. A submillisecond pulsar would be an even more extreme object, but physics shows such stars cannot exist for long.

P_{eq} \simeq 1.40 \, \text{ms} \, B_8^{6/7} \left( \frac{\dot{M}}{0.1 \dot{M}_{\text{Edd}}} \right)^{-3/7} M_{1.4}^{-5/7} R_{13}^{18/7}
The period at which magnetic torque and accretion torque balance; depends on magnetic field, accretion rate, mass, and radius.
\Delta M_{\text{eq}} \simeq 0.22 \, M_\odot \, \frac{(M/M_\odot)^{1/3}}{P_{\text{ms}}^{4/3}}
The mass required to spin up a neutron star to period P_ms; for 1 ms, about 0.25 solar masses is needed.
P_H \simeq 0.0619 \, \text{ms} \, \left( \frac{M}{M_\odot} \right) \frac{1 + \sqrt{1 - a_*^2}}{a_*}
Characteristic timescale of spacetime rotation at the black hole horizon; for 10 solar masses and a*=1 gives 0.6 ms.
Scientists
Enrico FermiPaul DiracSubrahmanyan ChandrasekharMichael FaradayHendrik LorentzAlbert Einstein
Concepts
millisecond pulsar glitch neutron star spin neutron star mass limit pulsar phenomena spin rate x ray pulse ultrashort pulse stellar rotation black hole mass gap pulsation microarcsecond magnetar pulsations in grb kilometer per second microscopic black hole nanosecond oscillation period stellar planetary misalignment magnetar glitch pulsar