Cronología Fractal: Revisión de la Edad y el Destino Termodinámico del Cosmos mediante Topología Áurea

This work proposes that spacetime at the Planck scale possesses a quasicrystalline topology characterized by maximal irrationality, specifically governed by the golden ratio . This geometry emerges uniquely from the dual requirements of quantum stability (Kolmogorov–Arnold–Moser theorem) and emergent Lorentz isotropy. The vacuum is constructed via projection of the E8 lattice with slope ϕ, yielding an aperiodic structure withH4 symmetry. The resulting fractal geodesics (Dpath≈2.618Dpath≈2.618) naturally resolve the Hubble tension by increasing the luminosity distance as , bridging early- and late-universe measurements to a unified H0=70.4±0.5 km/s/Mpc without new fields or fine-tuning. Geometric frustration within this topology prevents complete thermalization, suggesting a cosmic future of metastable complexity rather than heat death. The model makes testable predictions for the CMB, large-scale structure, gravitational waves, and Lorentz invariance violations, all consistent with current bounds. We provide a complete Python implementation for cosmology simulation, quasicrystal generation, and Bayesian analysis, ensuring full reproducibility.