CO-ORDINATE-FREE HORIZON THERMODYNAMICS: GENERALISED EQUILIBRIUM AND DIFFERENTIAL PERMEABILITY IN QUANTUM-CRITICAL BOUNDARY LAYERS

This paper formalises a non-singular, co-ordinate-free model of black hole structures within the framework of a Clifford Spacetime Algebra Cl_1,3(R). The unphysical, classical zero-volume infinite density singularity is replaced by a physical central nucleating core held at a finite Planck density ceiling via Bekenstein information capacity constraints. Concurrently, the traditional passive mathematical event horizon is replaced by a three-dimensional, turbulent boundary layer functioning as a selective multi-phase filter. Using the non-commutative geometric properties of the spacetime algebra, we establish a mechanism of differential permeability that allows the simultaneous inbound transit of compact baryonic matter vectors and the outbound effervescence of a low-density, super-critical quantum-degenerate current without geometric collisions. The framework explicitly derives the non-linear metric inversion that rotates time-like mass vectors into space-like triads when the core hits absolute saturation limits. Finally, the model provides clear macro-structural links to non-visible empirical channels, matching the suppressed intergalactic baryonic matter clustering constants verified by recent September 2026 fast radio burst dispersion surveys.