Understanding the sources of ultra-high-energy cosmic neutrinos is one of the central tasks of modern astrophysics. Back in 1963, Maarten Schmidt identified the first quasar, which began the study of active galactic nuclei. Today we know that supermassive black holes at their centers, surrounded by accretion disks, produce powerful jets of plasma. The blazar TXS 0506+056, at a redshift of z=0.3365, became the first source for which the IceCube detector registered a neutrino with an energy of about 290 TeV simultaneously with a gamma-ray flare. However, radio interferometric measurements of the proper motions of components in its jet gave speeds of only (1–2)c, which contradicted the requirement of high Doppler boosting needed for efficient particle acceleration. This discrepancy highlighted a fundamental problem in interpreting the kinematics of VLBI jets and prompted a detailed re-examination of the source.
The work was based on long-term monitoring of TXS 0506+056 at 15 GHz as part of the MOJAVE program using the VLBA network, supplemented by additional observations at 22 GHz and data from the radio telescope RATAN-600 in the 2–22 GHz range. Three independent methods were applied to extract kinematic information: model fitting in the visibility domain (Difmap), clustering of CLEAN components, and wavelet analysis. The key approach was image “slicing”: for each epoch image, transverse integrated brightness profiles along the jet were constructed, which were then jointly fitted with Gaussian processes having a common light curve shape and free parameters—time delay and amplitude for each slice. Such a global fit avoided subjective identification of discrete components and made full use of the entire available jet region up to ~3 mas from the core.
A coherent disturbance of radio emission was detected, propagating along the jet with a constant apparent speed determined from Gaussian analysis as (21 ± 1)c. This result is consistent with estimates from other methods and points to relativistic time dilation combined with geometric effects, predicted by Lorentz transformations within Einstein's special relativity, which relies on the constancy of the speed of light. The wave shape remains almost unchanged over the entire studied extent, and its duration of about 2 years is nearly independent of distance from the core. Two such waves were identified: one associated with the IceCube neutrino event IC-170922A (2017), the second with the Baikal-GVD event GVD210418CA (2021); the delay of the radio burst peak relative to the neutrino is 2.5–3 years. The measured core shift does not exceed 0.4 mas, which is too small to explain such a delay by synchrotron self-absorption effects alone. The authors interpret the observations within a stratified jet model: a radio-weak ultra-relativistic spine with a Lorentz factor Γ>20 carries the disturbance, while a slow sheath, bright in the radio band, responds with a delay caused by the finite speed of transverse propagation. As a result, the Doppler effect for the spine and sheath differs, and the observed fast wave reflects the motion of the spine, while the slow components are structures in the sheath. The transverse “ignition” of the sheath is likely related to plasma compression and magnetic field amplification, possibly through magnetic reconnection, which shapes the observed conical brightness pattern.
The results offer a direct observational resolution of the “Doppler factor crisis”: standard VLBI kinematic analysis based on the motion of individual components may systematically underestimate the true flow speeds in stratified jets. Consequently, many active galactic nuclei are capable of accelerating particles to significantly higher energies than previously thought, which is critical for interpreting data from neutrino observatories. The spine-sheath model provides a specific, testable framework linking multimessenger events with radio observations.
Future systematic surveys using next-generation VLBI networks (ngVLA, SKA) will test the universality of the discovered mechanism in other neutrino-bright blazars. High-sensitivity polarimetric and spectral observations at millimeter wavelengths (Event Horizon Telescope, ALMA) can directly resolve the spine-sheath structure, while three-dimensional numerical simulations can reproduce the details of transverse energy transport and particle acceleration. Coordinated multimessenger campaigns will increase the statistics of such events and allow the study of neutrino production physics in the plasma of relativistic jets.
The discovery impacts the physics of relativistic jets, neutrino astrophysics, VLBI kinematic methodology, and multimessenger astronomy as a whole.
In the near future, it is important to search for similar fast waves in archival data of other AGN and to develop detailed radiation transfer models in two-layer jets to quantitatively reproduce the observed delays and flare profiles.
The study is directly connected to key unresolved problems: the origin of high-energy astrophysical neutrinos, acceleration mechanisms of particles in collimated jets, the nature of ultra-relativistic spines, and the Doppler factor crisis in blazars.
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What the work does
A multi-year monitoring campaign of the blazar TXS 0506+056 at 15 GHz (MOJAVE/VLBA), supplemented by observations at 22 GHz and data from RATAN-600, revealed a coherent disturbance propagating along the jet with an apparent speed of (21±1)c. Using three independent methods, including a novel 'cross-section' approach with Gaussian fitting, the team identified two waves associated with neutrino events detected by IceCube and Baikal-GVD.
Where its strength is
The strength of this work lies in its methodological approach: a global fit to transverse brightness profiles allowed the kinematics to be extracted without subjective component identification, yielding high precision in the velocity determination and revealing a connection between the waves and neutrino flares.
Where it could go next
Worth trying
Why this may matter
If the link between propagating waves and neutrino flares is confirmed in other objects, it will provide a new observational tool for pinpointing particle acceleration zones in relativistic jets and for understanding the origin of ultra-high-energy cosmic neutrinos.
Nearby works in our archive
The closest work in the archive sits at 0.68 by meaning — the usual level for our corpus.
The apparent speed of 21c is not a record for blazars — objects with apparent motion up to 50c are known. The uniqueness of the discovery lies in the fact that such a fast wave was “hidden” in a source that had been considered slow for decades, and only revealed itself when traditional component analysis was abandoned.