Book IV of Dark Geometry: complete spectral theory of the holographic fibration H = M^d ×σ F; the Hertault Axiom e^(dσ)=I; spectral reformulations of RH/BSD/Yang–Mills; black-hole thermodynamics; G₄, σ_s from d=3. 400+ theorems, zero free parameters. Verification code.

Book 0 of the Dark Geometry series — the canonical reference volume (806 pages) gathering the founding papers of the framework into one source. One axiom (spacetime volume = information) and one input, d=3, from which the dark sector, the cosmic tensions, and the Standard-Model constants follow.