  In this work we present a brief summary of the branch-cut cosmology as well
as we approach topics not yet explored. Starting with an already explored
topic, the theme of primordial singularity suppression, we approach for the
first time essential themes for a better understanding of the scope of
branch-cut cosmology. Based on recent contributions, we advance a better
understanding of the scenarios revealed in these formulations as well as
essential topics for modern cosmology such as the flatness, homogeneity and
horizon problems from the classical point of view of the branch-cut cosmology.
