Cosmology and Black Holes

This paper develops a fully geometric, non-singular description of black holes within the Octomorphic Framework. Instead of treating black holes as spacetime singularities with infinite curvature, the model interprets them as recursion-failure regions in coherence geometry—domains where triangle-braid cycles cannot close, mean coherence curvature (MCC) collapses below ambient stability, and self-reference depth falls below unity. Under these conditions, a black hole interior becomes a structured recursion basin bounded by a ΔL inversion surface rather than a metric horizon. The inversion surface marks the transition between lawful and non-lawful coherence behavior, and its geometry determines whether a black hole remains stable or progresses toward instability. The paper introduces two key mechanisms. 1. Echo Tunnels — lawful sequences of shell transitions that allow partial coherence to re-emerge from the basin. These pathways produce natural gravitational-wave echoes without requiring quantum corrections or exotic matter. 2. Basin Instability Criterion — when MCC at the inversion boundary rises to ambient levels, the previously stable ΔL surface fractures into multiple partial-closure surfaces. This unlocks echo-tunnel ladders, triggers registry overflow, and initiates outward coherence transport. The model predicts that this instability can seed proto-galactic structures, providing a geometric pathway from black hole collapse to large-scale astrophysical formation. The framework resolves classical singularities, predicts finite-mass remnant basins, and offers testable signatures including echo-tunnel spectra, shell-structure shifts, and measurable MCC gradients. It provides a unified geometric model linking black hole interiors, accretion behavior, echo phenomena, and galaxy formation within a single coherence-based formalism.