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We show that ultra-light scalar dark matter (fuzzy dark matter) in galaxies has a quantum mechanical typical acceleration scale about $10^{-10}\,\mbox{ms}^{-2}$, which leads to the baryonic Tully-Fisher relation. Baryonic matter at central…

Astrophysics of Galaxies · Physics 2019-07-02 Jae-Weon Lee , Hyeong-Chan Kim , Jungjai Lee

We discuss the existence of an acceleration scale in galaxies and galaxy clusters. The presence of the same acceleration scale found at very different scales and in very different astrophysical objects strongly supports the existence of a…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-03 Douglas Edmonds , Djordje Minic , Tatsu Takeuchi

A relation between the centripetal acceleration g_obs in galaxies and the gravity due to the baryon distribution g_bar has been found by McGaugh (2016) and Lelli et al.(2017). It also summarizes properties such as the Tully-Fisher and…

Astrophysics of Galaxies · Physics 2018-11-09 Andre Maeder

Observations of velocity dispersions of galactic structures over a wide range of scales point to the existence of a universal acceleration scale $a_0\sim 10^{-10}$ m/s$^2$. Focusing on the fuzzy dark matter paradigm, which proposes…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-15 Douglas Edmonds , Joshua Erlich , Djordje Minic , Tatsu Takeuchi

Dark matter is required in galaxies at galactocentric radii that are larger than the $a_0$-radius, which is where the gravitational acceleration generated by baryons of the galaxy equals the constant $a_0=1.2\times 10^{-10}$ms$^{-2}$ known…

Astrophysics of Galaxies · Physics 2023-04-14 Michal Bílek , Michael Hilker , Florent Renaud , Tom Richtler , Avinash Chaturvedi , Srdjan Samurović

Dark matter phenomena in rotationally supported galaxies exhibit a characteristic acceleration scale of $g_\dagger \approx 1.2\times 10^{-10}$ m s$^{-2}$. Whether this acceleration is a manifestation of a universal scale, or merely an…

Astrophysics of Galaxies · Physics 2020-11-18 Kyu-Hyun Chae , Mariangela Bernardi , Helena Dominguez Sanchez , Ravi K. Sheth

Galaxies covering several orders of magnitude in stellar mass and a variety of Hubble types have been shown to follow the "Radial Acceleration Relation" (RAR), a relationship between $g_{\rm obs}$, the observed circular acceleration of the…

Astrophysics of Galaxies · Physics 2019-09-11 Coral Wheeler , Philip F. Hopkins , Olivier Doré

The baryonic Faber-Jackson relation (BFJR) links the baryonic mass of pressure-supported systems to their mean velocity dispersion. For elliptical galaxies, the BFJR is thought to be a projection of the fundamental plane (FP), which…

The mass discrepancy in disk galaxies is shown to be well correlated with acceleration, increasing systematically with decreasing acceleration below a critical scale a0 = 3700 km^2/s^2/kpc = 1.2E-10 m/s/s. For each galaxy, there is an…

Astrophysics · Physics 2009-11-10 Stacy S. McGaugh

The baryonic Tully-Fisher relation (BTFR) and Faber-Jackson relation (FJR) represent fundamental scaling laws linking the baryonic mass of galaxies to their kinematics, yet their physical origin and apparent offsets between different galaxy…

Astrophysics of Galaxies · Physics 2026-04-07 Stuart Marongwe , Stuart Kauffman

The Radial Acceleration Relation confirms that a nontrivial acceleration scale can be found in the average internal dynamics of galaxies. The existence of such a scale is not obvious as far as the standard cosmological model is concerned,…

Astrophysics of Galaxies · Physics 2018-07-31 Davi C. Rodrigues , Valerio Marra , Antonino del Popolo , Zahra Davari

We investigate the Baryonic Faber-Jackson Relation (BFJR), examining the correlation between baryonic mass and velocity dispersion in galaxy groups and clusters. Originally analysed in elliptical galaxies, the BFJR is derivable from the…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-22 Pradyumna Sadhu , Yong Tian

By means of high-resolution N-body simulations in a LambdaCDM cosmology, we verify that scaling relations similar to those observed for nearby galaxy clusters are also defined by their dark matter hosts; the slopes, however, are not the…

Astrophysics · Physics 2016-03-23 B. Lanzoni , L. Ciotti , A. Cappi , G. Tormen , G. Zamorani

I demonstrate four tight correlations of total baryonic mass, velocity and radius for a set of nearby disk galaxies: the Mass-Velocity relation $ Mt \propto V^4$; the Mass-Radius relation $ Mt \propto R^2$; the Radius-Velocity relation $R…

Astrophysics of Galaxies · Physics 2017-02-22 Earl J Schulz

Rotation curves of spiral galaxies \emph{i}) fall off much less steeply than the Keplerian curves do, and \emph{ii}) have asymptotic speeds almost proportional to the fourth root of the mass of the galaxy, the Tully-Fisher relation. These…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Y. Sobouti , A. Hasani Zonoozi , H. Haghi

Starting from the 1970s, some relations connecting dark matter and baryons were discovered, such as the Tully-Fisher relation. However, many of the relations found in galaxies are quite different from that found in galaxy clusters. Here, we…

Astrophysics of Galaxies · Physics 2022-12-13 Man Ho Chan

Recent JWST surveys reveal a striking abundance of massive galaxies at cosmic dawn, earlier than predicted by $\Lambda$CDM. The implied speed-up in galaxy formation by gravitational collapse is reminiscent of short-period galaxy dynamics…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-29 Maurice H. P. M. van Putten

Universal acceleration $a_0$ emerges in various empirical laws, yet its fundamental nature remains unclear. Using Illustris and Virgo N-body simulations, we propose $a_0$ is the scale of acceleration fluctuations in collisionless dark…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-27 Zhijie , Xu

We revisit the issue of the constancy of the dark matter (DM) and baryonic Newtonian acceleration scales within the DM scale radius by considering a large sample of late - type galaxies. We rely on a Markov Chain Monte Carlo (MCMC) method…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-04 V. F. Cardone , A. Del Popolo

Recently, a tight correlation between the dynamical radial acceleration and the baryonic radial acceleration in galaxies - the radial acceleration relation - has been discovered. This has been claimed as an indirect support of the modified…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-17 Man Ho Chan , Ka Chung Law
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