Chapter 50: The Merger Normal Form and BH Astrophysics

When two black holes merge, orthodox general relativity describes the process as a solution to the Einstein field equations in the strong-field, highly dynamical regime — a problem so difficult that it required decades of numerical relativity to solve even approximately. In Category τ, the situation is structurally simpler. A black hole is a single-excision coherent instance : a region of τ³ where the topological defect d_top = 1 permanently removes a boundary component. When two such regions approach each other, the coherence kernel forces convergence to a unique fixed point: a single excision with combined mass. This is the Merger Normal Form . The theorem says that the merger outcome is unique — two excisions always become one, and the resulting excision is fully determined by the total mass and total angular momentum of the initial pair. There is no information loss, no bifurcation, and no multi-excision stable state.

This chapter derives the Merger Normal Form, extracts the ringdown signal as a coherent-instance readout, predicts the black hole mass spectrum from the primorial ladder, and constructs Wilson loops at cosmic scale as holonomy probes of the base τ¹.