Why 64 States Require 6 Dimensions — Not 5
Each dimension doubles the vertices
48 + 12 + 4 = 64 = 2³ × 2³ = Input Trinity × Output Trinity
| Tier | Braid | Field | Boundary (Closure) |
|---|---|---|---|
| Spatial | 1D Line | 2D Surface | 3D Volume — ⊙₁ locks |
| Temporal | 4D Worldline | 5D Config Space | 6D Dual Trinity — ⊙₂ locks |
Same pattern. Same roles. Why would nature change the rule after 4D?
If you cap at 5D, you have 2⁵ = 32 vertices. That's half the states needed for the Standard Model.
Where do your other 32 states live?
The 6th dimension isn't a patch — it's where the dual trinity (input × output) completes.
2³ × 2³ = 64. Not 32. Not 128. Exactly 64.