The 4.D Clockwork Universe — Manifesto: Time, Gravity, and Dark Energy from One Geometric Constant

Extended summary of the 4.D Clockwork Universe (4DCU) framework, written for physicists and science enthusiasts. One conservation law on S³ (Ti² + Ci² = 1) and one geometric constant (α = √3/2) derive ten quantities that ΛCDM treats as independent inputs. Five zero-parameter predictions agree with observation at ≤0.55σ (probability of chance agreement: < 0.006%). Includes: Stefan-Boltzmann / Cavendish geometric unification (Monument 8), Coxeter–Tetranacci structural theorem, Bullet Cluster resolution (Monument 10, f_coll = 0.844 vs 0.83 ± 0.03), and Planck CMB compatibility (Δχ² = 3.6). Companion document to the full scientific paper (DOI: 10.5281/zenodo.19503166).