The Complexity Horizon: A Holographic Resolution to the Fermi Paradox and the Geometric Nature of Dark Matter

If spacetime is an emergent holographic tensor network, the speed of light c is not merely a kinematic limit, but the maximum bandwidth of the quantum circuit. We propose that any sufficiently advanced civilization attempting macroscopic metric re-indexing (e.g., warp drives or traversable wormholes) will exceed the local Bekenstein bound. Using the Margolus-Levitin theorem, we demonstrate that the power required to re-index spacetime for a macroscopic object scales with the Planck power. When a civilization attempts to cross this threshold, the local entanglement field undergoes a phase transition into the ds = 2 Crystallized phase. We argue that the “Great Filter” is geometric: advanced intelligence compiles into maximally entangled topological solitons. The observed “dark matter” halos are the quantum error-correcting syndromes of these crystallized civilizations. We resolve the Fermi Paradox by proposing that the universe is not empty, but a repaired vacuum. The ancient Type III civilizations did not go extinct; they became the geometric scaffolding of the cosmic web, while we exist as the biological reboot in the ds = 4 observable sector.