Paper 28 — Black Circle Thermodynamics, Norm-Gap Identity and IIB-IV Gravitational Structure

Paper 28 consolidates the downstream physical consequences of the algebraic derivation of G_N (Papers 26–27).

§2 — Black Circle thermodynamics (S_BH, T_H, F = M/2) computed as explicit functions of G_N^(1)(M,λ). Universal constant T_H · r_s = 1/(4π) derived [Derived].

§3 — Tree-level GHY term shown to vanish identically [Derived-Negative], sharpening OP 20.2 to a Seeley–DeWitt boundary problem [Open].

§4 — OP 21.4 (Candidate D) partially closed: cavity-physical window M < M_c = 0.01927 M_Pl [Derived, conditional on Papers 14, 27].

§5 — Complete Majorana fermion correction δG_N⁻¹|_ferm = −(16λN(C₀)/3π) · ln(Λ²/32λN(C₀)) assembled [Derived, conditional on Papers 19, 26]. OP 23.2 closed at formula level; scheme-independent combination [Open].

§6 — Norm gap ΔN = 4, kernel dimension dim ker(L_a) = 4, and spectral reduction S_eff = 164 shown to have independent algebraic origins [Derived-Negative for general n ≥ 4]. New OP 28.1: does the Majorana mode count equal dim ker(L_a) = 4 via the Fano non-incidence map?

§7 — Dark matter mass m_dark ≈ 0.168 M_Pl [Speculation, IIB-IV]. Holographic connection of Paper 2 §4.2 becomes quantitative: S_BH ∝ ‖L_{C₀}‖²_F × M² [Conjecture, IIB-II].

All results carry explicit epistemic labels.