The fundamental quasicrystalline lattice has 233 sites. A Fibonacci number indexed by a Fibonacci number. The lattice has 232 = D−1 bonds — exactly the attosecond count measured by TU Wien. φ generates the Fibonacci sequence that produces 233. The spectrum produces W. N = 233+55+5+1 = 294. α = 1/(N×W). The lattice describes the universe. The universe instantiates the lattice. The loop closes.
| Domain | Prediction | Error | Independence |
|---|---|---|---|
| Quantum Information | S_max position = σ&sub4; | 0.00021% | Exact QM + Cantor geometry |
| Stellar Physics | D♪ from cos(1/φ) | 0.06% | φ-ladder + cos(α) |
| Nuclear Physics | r_p from breathing | 0.14% | Compton wavelength + W |
| Electromagnetism | α¹ = N×W = 137.337 | 0.22% | Spectral topology (N, W) |
| Molecular | H&sub2; bond = σ&sub4; | 0.5% | Cantor geometry |
| Cosmology | H&sub0; = 66.9 km/s/Mpc | 0.8% | Bracket law |
| Structure | 9 voids/walls | 1.8% | AAH gap fractions |
| Energy Budget | Ω_b, Ω_DM, Ω_DE | ≤ 2.8% | Unity identity + W&sup4; |
The metallic means δ_n are roots of x² = nx + 1. Each produces a distinct 5-sector Cantor architecture. Silver's σ&sub3; sits in Gold's void. Combined: 60.8% spectral coverage. The remaining 39.2% are universal forbidden zones — irreducible dark-matter channels.
All 8 metallic means' Cantor spectra stacked vertically, with a combined overlay at the bottom. Where Gold has a gap, Bronze or Silver often has a band. The combined row shows 60.8% spectral coverage from all 8 metals together.
The heatmap showing what percentage of metal A's gaps are filled by metal B's bands. Read row-by-row: for each metal's void regions, the columns show which other metals plug the holes. This is the complementarity proof in numbers.
Radial cross-section with all 8 metals' walls drawn as concentric circles. Silver (n=2) is tightest at center, then Gold (n=1), then Bronze (n=3), and higher metals push progressively outward. 32 boundaries, all strictly ordered. No wall collisions.
The same nesting data as horizontal bars, making it easy to read exact positions. Gold's reference walls are marked with vertical dotted lines so you can see exactly where each other metal's features fall relative to Gold's architecture.
All 8 metallic means' matter distributions overlaid. Silver's tight filaments at center, Gold's web filling Silver's void, Bronze wrapping outside. Switch between individual webs and the commingled view.
Cosmological energy partition for each metal as stacked bars. Gold (n=1) is the only one with significant baryonic matter (4.8%). Every metal above n=1 is progressively more dark-energy dominated, converging toward pure vacuum.
Left panel: normal 5-sector spectrum. Right panel: after collapse — matter core compresses, DM walls expand, mercury conductor mediates the projection perpendicular to the surface. Switch metals to see how each collapses differently.
The oblate spheroid (a/c = √δ_n) with all layers: QC coating, liquid mercury, hull, inner mercury, inner coating, payload at E=0 center. DM projection arrows show the shift vector field. Each metal gives a different oblateness.