唯一の公理¬∃→∃と明示された同定公理から、宇宙論的定数（120桁問題を連続パラメータゼロで抑制、誤差1.71%）・CMB音響ピーク・標準模型の群構造を導出する反証可能な統一理論。新等式 α·ln n* = R(S^(n*-1))·π を含む。/ A falsifiable unified theory deriving Λ, CMB peaks, and the SM gauge group from a single axiom with zero fitted parameters.

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 III of Dark Geometry: why d=3? Spacetime emerges as the continuum limit of a MERA qutrit network; d=3 is selected by six independent conditions; the Hertault Axiom e^4σ=I is established up to the C*-limit. 34 predictions, mean error 0.42%, zero free parameters. Verification code + scorecard.

Book II of Dark Geometry: the Standard Model gauge group, particle masses, couplings and mixing angles derived from d=3 and the Planck mass alone — zero free parameters. ~170 predictions, ~80 sub-percent (Koide leptons, v_H to 22 ppm, m_p/m_e=6π⁵). Verification code + master table.