Cosmos as an Echo of Rebound: A Fractal Model of Nested Universes (Revised Version)

This is a revised version of the preprint originally posted on 23 June 2026. The mathematical model remains unchanged; the revision corrects factual inaccuracies regarding external data and clarifies the status of observational interpretations. We present a mathematical model in which dark matter is interpreted as an interference pattern arising from adjacent topological phases generated by a hierarchy of universes born inside black holes ("fractal rebounds"). The model introduces a scalar field Φ(x,t) — the topological phase field — whose action includes non-minimal coupling to gravity and discrete sources encoding memory from past rebounds via conserved gravitational helicity. The framework yields specific, testable predictions: an oscillatory dark matter density profile around supermassive black holes, correlation of mass excess with spin orientation, and a discrete spectrum of stochastic gravitational waves in the millihertz range. Currently, the model lacks robust observational confirmation, but it remains internally consistent and offers a novel theoretical perspective on the nature of dark matter, dark energy, and the multiverse structure.