Algebraic Black Holes as Saturation Fixed Points in the IRS: E₈ Vacuum as Finite Entropy Sink

We reformulate Black Holes within the Infinity Resonance System (IRS) as algebraic local saturation fixed points. These arise from recursive symmetry descent along the fixed exceptional chain: H4→E8→SU(2)×E7→SU(2)×E6×U(1)→SU(3)×E6H4→E8→SU2×E7→SU2×E6×U1→SU3×E6 We further define the Vacuum as a finite-capacity entropy sink—the E8 manifold bulk (J=0 scalar topology: decoherent shards lack phase coherence for angular momentum)—which accumulates non-resonant entropy shards rejected by the H4 icosian resonance filter. This process eventually leads to the formation of global algebraic horizons.