A brane-centric model of the Universe with hierarchical gravitational time

This work proposes an original and unified geometric model of the universe's evolution, which combines key cosmological phenomena such as the Big Bang, inflation, accelerated expansion (dark energy), the hierarchical structure of matter, and the nature of time, through the fundamental principle of geometric relaxation (analogous to the Ricci flow) of a three-dimensional brane. It provides a new perspective on cosmology, where the observed properties of the universe are a consequence of its desire for a simple canonical form. This provides a theoretical framework for understanding the global topology, the direction of time, and the origin of supermassive black holes, and offers specific observational tests, such as the search for circular patterns in the cosmic microwave background. This makes it a significant step towards a comprehensive physical understanding of the universe.