Monthly Notices of the Royal Astronomical Society
Vol. 551, Issue 4 · stag1485 · doi:10.1093/mnras/stag1485
Is the acceleration scale of the radial acceleration relation tracking the cosmic expansion rate?
Stars in the outskirts of galaxies orbit faster than their visible matter can explain. The effect kicks in below a tiny acceleration called a0, and a0 sits suspiciously close to the speed of light times the expansion rate of the universe.
If that’s no coincidence, a0 should have been larger in the past. This paper tests the idea directly, using galaxies seen as they were up to about 9 billion years ago.
It’s a model-independent astrophysics paper, and it stands on its own. It is separate from my work on Density Field Dynamics, whose papers are preprints.
Alcock, G. T. (2026). Is the acceleration scale of the radial acceleration relation tracking the cosmic expansion rate? Monthly Notices of the Royal Astronomical Society, 551(4), stag1485. https://doi.org/10.1093/mnras/stag1485
MUSE-DARK bins compared with three scalings. Model amplitudes are fitted to the four bins.
- MUSE-DARK bins
- SPARC, today
- a0 ∝ H(z)
- Constant a0
- a0 ∝ (1+z)1.5
Data table
| Sample | z | a0 | Error |
|---|---|---|---|
| SPARC (local) | 0 | 1.20 | ±0.02 stat, ±0.24 sys |
| MUSE-DARK bin 1 | 0.503 | 1.990 | −0.085 / +0.086 |
| MUSE-DARK bin 2 | 0.825 | 2.200 | ±0.105 |
| MUSE-DARK bin 3 | 1.047 | 2.571 | −0.114 / +0.110 |
| MUSE-DARK bin 4 | 1.276 | 2.710 | −0.134 / +0.138 |
Units of 10−10 m s−2. Bins from Ciocan et al. (2026) as analysed in the paper; SPARC value from McGaugh, Lelli & Schombert (2016).