Informational Coalescence: Resolving Binary Black Hole Mergers via Rank-6 Topological Consolidation

Classical numerical relativity relies on computationally expensive spatial grids and artificial horizon excision techniques to model binary black hole coalescence, a necessity driven by the infinite geometric curvatures of General Relativity at r → 0. We present a fundamentally alternative architecture: the Informational Coalescence Engine, a deterministic symplectic integrator built upon the Informational Constraint Framework (ICF). By redefining gravity not as geometric curvature, but as an informational constraint density capped at the absolute Bekenstein-Landauer limit (Iₛₐₜ), the ICF natively resolves the gravitational singularity. We demonstrate that orbital decay is not a geometric inevitability, but an emergent thermodynamic necessity driven by Informational Viscosity—the shedding of latent computational heat by a saturated spatial substrate. Upon event horizon overlap, the system transitions from a 1/r² exterior gradient to a linear Hookean consolidation, achieving a stable Rank-6 topological lock without mathematical divergence. Executing a complete multi-loop inspiral and stable coalescence in sub-second timeframes, this framework provides a highly optimized, strictly energy-conservative model of binary mergers. Furthermore, the model isolates a scalar Informational Strain metric, S(t), which perfectly mirrors classical inspiral chirps while predicting a strict frequency cutoff in the interferometric ringdown phase, offering a direct falsifiability pathway against archival gravitational wave data. Repository Contents: Manuscript Executable JAX Pipelines (.ipynb): * RT_01_Hookean_Coalescence.ipynb (Executes the V11 asymmetric binary inspiral and thermodynamic coalescence) RT_02_Null_Conservative_Orbit.ipynb (Executes the strictly conservative control experiment without informational drag) RT_04_Spatial_Phase_Diagram.ipynb (Generates the 2D heatmaps of the single-core and binary Rank-6 saturation boundaries) High-Resolution Empirical Artifacts (.png): Fig1_RT_Coalescence_Strain.png Fig2_RT_Null_Control.png Fig3_RT_Single_Core_Phase.png Fig4_RT_Binary_Phase.png Documentation: MANIFEST_Informational_Coalescence_Engine.txt