The Universal Rotation Curve of Spiral Galaxies

TL;DR

This paper introduces a Universal Rotation Curve for spiral galaxies derived from a topological bias model, explaining dark matter coupling, the Tully-Fisher relation, and predicting oscillations in galaxy rotation profiles.

Contribution

It presents a novel topological bias framework to derive the URC, linking large-scale universe structure to galaxy rotation dynamics.

Findings

URC matches empirical data well

Topological bias explains Tully-Fisher relation

Predicts oscillations in rotation curves

Abstract

The observed strong dark-to-luminous matter coupling is described by a bias relation between visible and dark matter sources. We discuss the bias which emerges in the case where the topological structure of the Universe at very large distances does not match properly that of the Friedman space. With the use of such "topological" bias, we construct the Universal Rotation Curve (URC) for spirals which occurs to be in a striking agreement with the empirically known URC. We also show that the topological bias explains the origin of the Tully-Fisher relation ($ L\sim V^{4}$) and predicts peculiar oscillations in the URC with a characteristic length $\sim \sqrt{L}$.