A SONATA-19 cosmology project

PAIRwiSe velocities
in the cosmic web

Galaxies don't sit still — gravity pulls them toward one another, and how fast a pair closes that gap carries a signature of the dark matter, dark energy, and gravity that shaped it. PAIRS reads that signature where it's hardest to model: on small scales, inside voids, walls, filaments and nodes.

Who's behind it

Meet the team

Principal investigator

Mariana Jaber

Cosmologist leading the project, with expertise in theoretical modelling, cosmological inference, and the physics of large-scale structure.

Simulations & data analysis

Antonela Taverna

Doctor in Astronomy and Physics, National University of Córdoba. Handles large cosmological simulations and the study of the cosmic web in observations and simulations.

Theory & simulations

Rasmus Strid

Doctoral researcher with a master's in Physics from the University of Copenhagen. Connects theory and simulations, extending analytical templates toward more realistic scenarios.

External collaborator

Oliver Newton

Marie Skłodowska-Curie Fellow in the Astrophysics Research Group at the University of Surrey, working on dwarf galaxies, dark matter substructure, and the galaxy–environment connection.

What PAIRS is about

Four key questions, one main topic

Peculiar motions — the streaming of galaxies toward denser regions — encode information that static positions alone can't give up. PAIRS turns the relative motion of galaxy pairs into an independent test of the cosmological model.

Cosmological constraints

Use galaxy motions to obtain robust, independent constraints on matter density, the Hubble expansion rate, and the amplitude of cosmic clustering.

Small-scale modelling

Develop improved models of how galaxies trace dark matter that stay valid on very small, highly non-linear scales.

Merger physics

Understand how galaxy and halo mergers modify the standard assumptions behind pairwise-velocity theory.

Cosmic-web environment

Quantify how voids, walls, filaments and nodes shape galaxy motions and the galaxy–halo connection.

Visualisation idea by Dr. Antonela Taverna, implementation by Dr. Oliver Newton.

How we work

Theory, simulations, statistics

Five steps carry the project from a revised equation of motion to numbers that survey teams can use.

01 — theory

Extend the infall equation

Revisit the theoretical equation describing how pairs of galaxies fall toward each other, allowing for non-conservative effects.

02 — simulations

Measure motion in virtual universes

Use large, state-of-the-art cosmological simulations — TNG, Quijote, and Bolshoi — to track the motions of dark matter, haloes, and galaxies under controlled conditions.

03 — topology

Map the cosmic web

Segment those simulations into environments — voids, walls, filaments, nodes — using advanced topology-based algorithms.

04 — bias models

Match theory to measurement

Build and test enhanced galaxy-bias models by fitting analytical predictions to simulation measurements, across environments and scales.

05 — inference

Run the MCMC

Translate the new velocity-based statistics into cosmological parameter constraints, and forecast their reach for current and future galaxy surveys.

Scope and impact

Three stages, one trajectory

From theoretical foundations and data preparation, through measurement and model-building, to cosmological constraints the field can use.

I.

Foundations

Theory revision and the preparation of simulation data.

II.

Measurement

Cosmic-web segmentation and small-scale bias-model building.

III.

Constraints

Cosmological parameter estimation and forecasts for surveys.

Selected publications

Research behind PAIRS

PAIRS builds on Mariana Jaber's ongoing work on pairwise velocities, beyond-ΛCDM models, the galaxy–environment connection, and galaxy redshift surveys.

Pairwise velocities

Modelling the mean pairwise peculiar velocity of galaxies down to sub-megaparsec scales, and applying it to data to extract cosmological information inaccessible to standard clustering or lensing analyses.

Beyond ΛCDM models

Parameterizations and numerical tools spanning dynamical dark energy, modified gravity, and alternative dark matter, tested against survey data and simulations.

Galaxy–environment connection

How a galaxy's size, stellar mass, star-formation rate, and metallicity vary with its place in the cosmic web — from voids to filaments and clusters.

Galaxy redshift surveys

An Alcock–Paczyński test on the eBOSS Luminous Red Galaxy sample, comparing clustering along and across the line of sight to constrain the geometry of the Universe.

Coming soon

Data products, codes, and results

The project will deliver new theoretical templates, curated simulation catalogues, improved small-scale bias models, and public cosmological constraints and forecasts.

Data Products Numerical Codes Scientific Results
github.com/PAIRSteam ↗
Funding & acknowledgments

Support

This project is funded by the National Science Center of Poland under the SONATA-19 call, project number 2023/51/D/ST9/02919.

We acknowledge the Polish high-performance computing infrastructure PLGrid for awarding this project access to the TRYTON supercomputer via grants PLG/2024/017481, PLG/2025/019011, and PLG/2026/019226.