Cosmos as an Echo of Rebound: A Fractal Model of Nested Universes with Interference Dark Matter

[English translation of the preprint originally published in Russian on 2026-05-26: https://shelfhub.org/paper/2605.00001]

A cosmological model is proposed in which our Universe represents an intermediate layer of an infinite fractal hierarchy of spacetime phases born inside the black holes of previous phases at the moment of rebound. The phases are topologically isolated yet exchange information through interference nodes that form the observed dark matter. Dark matter in this framework has at least two components: the echo of past phases and inflow from the parent universe. The model is grounded in known physical principles and recent theoretical results concerning gravitational helicity as a topological invariant. It predicts: a small positive spatial curvature of the Universe, primordial non-Gaussianity in the CMB, relic objects formed before the rebound, and possible large-scale deviations from standard FLRW cosmology. Observational consequences are discussed, including an interpretation of the LHCb anomaly and inhomogeneities revealed by DESI surveys.