Papers › On a critical acceleration scale of dark matter in Lambda-CDM and dynamical dark energy
On a critical acceleration scale of dark matter in Lambda-CDM and dynamical dark energy
Zhijie, Xu
The archive published only this paper's code-link row. Authors, date and abstract are from arXiv's metadata (CC0), read from the Kaggle arXiv metadata snapshot of 2026-09-12 where its title matched the archive's; the title is the archive's.
Universal acceleration a₀ emerges in various empirical laws, yet its fundamental nature remains unclear. Using Illustris and Virgo N-body simulations, we propose a₀ is the scale of acceleration fluctuations in collisionless dark matter involving long-range gravity. In contrast, in the kinetic theory of gases, molecules undergo random elastic collisions involving short-range interactions, where only velocity fluctuations are relevant. We identify the redshift evolution a₀∝(1+z)^(3/4) that is in good agreement with Magneticum and EAGLE simulations and in reasonable agreement with limited observations. This suggests a larger a₀ at a higher redshift such that galaxies of fixed baryonic mass rotate faster at a higher redshift. The velocity fluctuations involve a critical velocity u_c∝(1+z)^(-3/4). The acceleration fluctuations involve a critical acceleration a_c∝(1+z)^(3/4). Two critical quantities are related by the rate of energy cascade εᵤ≈-a_c u_c/[2(3π)²], where factor 3π is from the angle of incidence and εᵤ≈-10⁻⁷m²/s³. With critical velocity u_c on the order of 300 km/s at z=0, the critical acceleration is determined to be a_(c0)≡a_c(z=0) ≈10⁻¹⁰m/s², suggesting a_c might explain the universal acceleration a₀≈10⁻¹⁰m/s² in the empirical Tully-Fisher relation or modified Newtonian dynamics (MOND). Note that dark energy (DE) density ρ_(DE0)≈a_(c0)²/G=10⁻¹⁰J/m³, we postulate an entropic origin of the dark energy from acceleration fluctuations of dark matter, in analogy to the gas pressure from velocity fluctuations. This leads to a dynamical dark energy coupled to the structure evolution involving a relatively constant DE density followed by a slow weakening phase, suggesting possible deviations from the standard ΛCDM.
Code
Repository list and official/mentioned flags are the archive's, frozen 2025-07-28. Reachability, where shown, is from one Syntology probe window (2026-09-16 to 2026-09-18); repositories not probed show nothing. GitHub stars are not tracked.
Code Syntology ran Syntology
Not run by Syntology. Nothing on this page verifies that the listed code works.
Results from the paper archive 2025-07-28
No leaderboard rows for this paper in the archive.
Report a problem or propose a change · a person checks every report against the paper or source before anything changes; decisions are listed on /corrections