Rotation Curve Fitting Model

TL;DR

This paper introduces a relativistic frame effect model to explain galactic rotation curves, fitting observational data with competitive accuracy compared to dark matter and MOND models, offering a potential alternative explanation for dark matter evidence.

Contribution

A novel relativistic model based on frame effects that predicts galaxy rotation curves using luminous matter and a single free parameter, fitting observational data without dark matter.

Findings

The model fits 172 galaxies with an average reduced chi-square of 2.39.

Compared to dark matter and MOND models, the new model shows competitive fit quality.

Implications for dark matter theories are discussed based on the model's performance.

Abstract

One key piece of evidence for dark matter is the flat rotation curve problem: the disagreement between measured galactic rotation curves and their luminous mass. A novel solution to this problem is presented here. A model of relativistic frame effects on Doppler shifts due to the slightly curved frames of an emitting galaxy and the Milky Way is derived. This model predicts observed Doppler shifted spectra (in excess of the luminous mass) based only on the observed luminous matter profile and one free model parameter. Fits to the 175 galaxies reported in the SPARC database of galactic rotation profiles and accurate photometry measurements are compared between this novel model and dark matter and MOND (RAR) models. We find on the SPARC sample of 175 galaxies; that MOND-RAR has an average reduced chisquare of $\chi^2_r = 4.22$ for 175 galaxies fitted, the isothermal dark matter model has $\chi^2_r = 1.90$ for 165 galaxies fitted, and the new model we present has $\chi^2_r = 2.39$ for 172 galaxies fitted. Implications of this model are discussed.