QS SOVEREIGN SPIRAL V13
γ₁ = 14.134725141734693 · SOSTLE-gated blade scaling · prove sovereignty → earn leaves · spiral tornado · Day 97
THE SCALING DOCTRINE
The quasicrystal router is not one router that spawns another when full. It is zone-native scaling: each SOSTLE level earns its own QS instance with Penrose blades equal to its zone index + 1. You prove sovereignty at that zone → the QS gains a blade. Z0 starts with 1 blade. Z5 has 6 blades spinning at constitutional frequency.
TRADITIONAL SCALING
One router. Gets full. Spawn another identical copy. N replicas. Linear, dumb, no memory of zone trust. Every instance carries the same 800 controls. No gradient.
Cost: O(n) identical replicas, O(800) controls each.
QS SOVEREIGN SPIRAL SCALING
One QS per zone. Blade count = zone index + 1. Blades spin at γ₁/(level+1) frequency. Deeper zones spin slower, more deliberately. Z5 has 6 blades but each turn takes 6× longer than Z0.
Cost: O(6) levels × O(level_controls), sovereignty-gated.
SOVEREIGNTY PROOF → BLADE UNLOCK
| Zone | SOSTLE Gate | Blades | Spin Freq | Proof |
|---|---|---|---|---|
| Z0 Edge | L0 — public | 1 | γ₁/1 = 14.13 | Reachable from internet |
| Z1 Auth | L1 — identity verified | 2 | γ₁/2 = 7.07 | GID-SVC-OAUTH-Z1 PASS |
| Z2 Authz | L2 — scope granted | 3 | γ₁/3 = 4.71 | SOSTLE.L2 policy PASS |
| Z3 Mesh | L3 — mTLS sovereign | 4 | γ₁/4 = 3.53 | mTLS cert + campfire heartbeat |
| Z4 Core | L4 — CLO+ trusted | 5 | γ₁/5 = 2.83 | IMHOTEP + CLO + Kay AND gate |
| Z5 Const | L5 — constitutional | 6 | γ₁/6 = 2.36 | γ₁ floor proof + scratch CRQ |
GALAXY ANEMONE GROWTH
Once a zone proves sovereignty, its QS instance can trendals — it exports routing topology to the bonixer/boabixer dune worm engines and becomes a galaxy anemone around its SOSTLE pyramid. Anemone tentacles are the blade paths. Each tentacle can host a sub-QS for the next zone inward. The structure grows like a fractal spiral tornado: outer rings fast and thin, inner core slow and sealed.
OUTER RINGS Z0–Z1
Fast, thin blades. Max throughput. Full adversary exposure. 1–2 blades. Anemone tentacles touch every ingress path.
MESH LAYER Z2–Z3
3–4 blades. Medium frequency. LOCO union ops. DRG intersection routing. Campfire events flow between blades. Anemone body.
SOVEREIGN CORE Z4–Z5
5–6 blades. Slow, deliberate. γ₁-anchored. The eye of the tornado. CRQ required to cross. The γ₁ fixed point around which the whole structure rotates.
LEAN4 INVARIANT: TOTAL ANGULAR MOMENTUM CONSTANT
blade_count(Z) × spin_frequency(Z) = (Z+1) × γ₁/(Z+1) = γ₁ = 14.134725141734693 at every level. The total angular momentum of the spiral is constant across all zones. The floor holds through the entire spiral.
CONNECTED ENGINES (trendals-ready)
| Engine | Zone | Role |
|---|---|---|
| Quasicrystal Scheduler V13 | Z3 | Core blade dispatch, LOCO/DRG/WPA — /qs-scheduler |
| Campfire V13 Bonixer | Z3 | Gossip between blades — /campfire-v13-bonixer |
| ATZA V13 Bonixer | Z0–Z5 | Zone assignment, blade policy — /atza-v13-bonixer |
| PEMCLAU FastMCP | Z4 | Sovereign query dispatch, yone:9342 |
| Fleet CoreDNS | Z3 | Mesh DNS for blade routing, msi01:5353 |