soulbis.com/lattice · the lattice as manifold↖ soulbis.com↗ open /star manifold

The 64 · Vertex Codex

Every point on the sovereignty manifold is one of 64 states of the lattice ℒ = ℤ/64ℤ — a 6-bit address across the six sovereignty dimensions. Each carries a stratum, a Swordsman reflection (neg), a Mage antipode (bnot), and a successor (succ = neg∘bnot). Choose an intelligence, or import a City Key 🗝️ to colour the gems and write a description onto every node.

⚔️ Swordsman · neg · protect
🧙 Mage · bnot · project
surveillance · transparency sovereignty · privacy
/star link idle
64 vertices · {0,1}⁶
no key loaded
vertex —
📖 The legend — geometry ↔ Privacy Value Model V5.4

This renders V(π,t) = P1.5 · C · Q · S · … · Φ_agent(Σ) · … · T∫(π) — a holographic field on the 96-edge boundary ∂M. The codex shows the lattice ℒ and the path; the 3D /star manifold shows the agent axis and the boundary.

64 vertices · {0,1}⁶the sovereignty lattice ℒ = ℤ/64ℤ — a 6-bit address across the six sovereignty dimensions. stratum · colourpopcount = Pascal row 6 (1·6·15·20·15·6·1); 0 = full surveillance/transparency, 6 = full sovereignty/privacy. ⚔️ neg · Swordsmanneg(x) = (64−x) mod 64 — Protect (the reflection). 🧙 bnot · Magebnot(x) = 63−x — Project (the antipode). 😊 succ · the wheelsucc = neg∘bnot = (x+1) mod 64 — visits all 64 and returns to 0. [proven] ∂M · 96 edgesthe holographic boundary — 96/64 = 1.5 = the P1.5 exponent (V5.4 §8). Value flows along the boundary, not the interior. Φ_agent · the coretwo interpenetrating tetrahedra (stella octangula), det(Σ); the white heart = the First Person, reachable only via both agents. φ · ⚔️:🧙 ratiothe golden ratio as the conjectured optimal protect : project balance. [conjecture C1] T∫(π) · the pathvalue lives on the path, not the vertex — a static vertex carries zero edge value. 🪢 focus manapoured at agentprivacy (VRC allocation) and carried in the City Key as focus (vertex → amount). Here it glows as an inner gold aura — heavier where you've committed more attention. The feedback between the two interfaces. off-axisΦv5 = Φ_agent · Φ_data · Φ_inference (multiplicative — any axis → 0 collapses value). Only Φ_agent is drawn; the other two axes are off-screen.

Tags follow the V5.4 spec: [proven] / [canon] / [conjecture]. Full map in MAPPING.md; the model at agentprivacy.ai/model.