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Analysis

This paper investigates a potential solution to the Hubble constant ($H_0$) and $S_8$ tensions in cosmology by introducing a self-interaction phase in Ultra-Light Dark Matter (ULDM). It provides a model-independent framework to analyze the impact of this transient phase on the sound horizon and late-time structure growth, offering a unified explanation for correlated shifts in $H_0$ and $S_8$. The study's strength lies in its analytical approach, allowing for a deeper understanding of the interplay between early and late-time cosmological observables.
Reference

The paper's key finding is that a single transient modification of the expansion history can interpolate between early-time effects on the sound horizon and late-time suppression of structure growth within a unified physical framework, providing an analytical understanding of their joint response.