The Hubble tension, characterized by the discrepancy between early-universe measurements of the Hubble constant and late-universe local measurements, remains one of the most pressing crises in modern cosmology. This paper proposes a novel phenomenological "toy model" suggesting that this discrepancy is not an observational error, but the measurable signature of a topological phase transition in the fabric of spacetime. We hypothesize that the universe transitions from an early, incompressibly dense state governed by the Golden Ratio to a late, fractal, and chaotic topology governed by the Feigenbaum constant. By incorporating Tsallis non-extensive statistical mechanics, we derive a "Topological Euler Number" that corrects the geometric volume deficit of the cosmic web, yielding a theoretical expansion ratio that perfectly aligns with the empirical variance observed in the Hubble tension. This toy model invites further formalization using fractional calculus and modified Einstein-Hilbert actions to derive the precise underlying Lagrangian of fractal cosmology. Author's complete profile (Lattes CV): http://lattes.cnpq.br/7277478828554286
LUIZ LOYOLA (Fri,) studied this question.