BCCF Existence Matrix — 3D Visualization

Interactive 3D derivation graph for the Boundary Condition Cosmological Framework (BCCF). Step 0 — the axiom "Exists?" — sits at the exact centre; 234 nodes radiate outward across 27 concentric spherical shells, one per derivation step. All 644 edges trace the logical dependencies from axiom to predictions, with no free parameters. The graph encodes the physical narrative: existence is concealment, the batter churns, the void interrogates, the sphere hides. Nodes are distributed on each shell via Fibonacci sphere packing, biased toward their Z₂ × Z₂ tile quadrant so the K4 pattern algebra is visible in the geometry — existence (++) in one octant, void (--) opposite, exchange tiles (+-, -+) between. All 196 experimental predictions are reached, with 234 nodes forced and 0 assumed. The derivation spans gauge couplings, fermion masses, CKM/PMNS matrices, Higgs decays (NLO/NNLO), hadron spectroscopy, nuclear binding through ⁵⁶Fe, atomic spectral lines, cosmological observables, and astrophysical quantities. The 196 predictions achieve a median deviation of 0.236% from experiment, with 74 within 0.1% and 142 within 1%.