On a Generalized Mass-Velocity Relation for Disk Galaxies and Galaxy Clusters

TL;DR

This paper proposes a generalized scaling relation linking mass and velocity for both galaxy clusters and disk galaxies, based on observed surface mass densities, challenging the universality of the acceleration constant.

Contribution

It introduces a unified mass-velocity relation applicable to different galaxy systems, moving beyond MOND-inspired models by emphasizing observed densities.

Findings

No strong evidence for a universal acceleration constant in galaxy clusters.

The combined data supports a mass-energy relation consistent with virial theorem phenomenology.

The relation applies across pressure-supported and rotation-supported systems.

Abstract

We consolidate the BFJ and BTF (MVD) relations into a generalized Scaling Mass Velocity Relation applicable to both pressure-supported galaxy clusters and rotation-supported galaxies. Unlike MOND inspired relations containing a characteristic acceleration scale and its normalization factor, our proposal is dependent on observed dynamic surface mass densities and discrepancies. We perform the same analysis for a sample of HIFLUGCS galaxy clusters (Tian et al, 2021) found in prior work with SPARC galaxies (arXiv: 2101.01537). For this galaxy cluster sample, we find little evidence for a universal acceleration constant as previously recognized for galaxies. We finish with an examination of the virial energies for the combined sample recovering a mass-energy relation consistent with the phenomenology.