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This research aims to explore the dependencies of the radial acceleration relation on environmental and structural factors in galaxies.

May 5, 2026Open Access

Evidence for Environmental and Structural Dependence in the Radial Acceleration Relation

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Key Points

This research aims to explore the dependencies of the radial acceleration relation on environmental and structural factors in galaxies.
Analyzed residuals from the SPARC dataset to identify structure and correlations.
Constructed an empirical correction model to reduce RMS scatter.
Extended analysis to galaxy clusters assessing correlations with structural complexity.
Demonstrated significant structure in residuals with reduced RMS scatter from ~0.19 to ~0.15 dex.
Found strong correlation between lensing and temperature, with residuals correlating with structural complexity: Corr(M,Δ)≈0.39.
Indicated that residuals from gravitational relations contain additional physical information across scales.

Abstract

The Radial Acceleration Relation (RAR) is a tight empirical relation between observed and baryonic accelerations in galaxies. We analyze residuals using the SPARC dataset and show they contain statistically significant structure. We detect correlations with environmental proxies and construct an empirical correction model reducing RMS scatter from ~ 0.19 to ~ 0.15 dex. Extending the analysis to galaxy clusters, we find that lensing is primarily governed by temperature, but residuals correlate with structural complexity: Corr(M,Δ)≈0.39. This suggests that residuals from dominant gravitational relations encode additional physical information across scales.

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Evidence for Environmental and Structural Dependence in the Radial Acceleration Relation

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