CUBE FAMILY · 2ⁿ DIMENSIONAL PROGRESSION
Each power of 2 defines a cube in n-dimensional space. From the LINE (2¹) to ONE (2⁶),
each step doubles the vertices and reveals new architectural layers of the PEMOS sovereign stack.
The simplest binary unit. A single edge connecting two vertices — the fundamental
on/off switch that underlies all SOSTLE gate logic. Every bit in the system
traces back to this primitive: present or absent, true or false.
2 vertices
1 edge
0 faces
PEMOS MAPPING
Merostone atom (sign/presence). SOSTLE on/off gate. The binary foundation
of sovereign identity — you are or you aren't on the fleet.
MEROSTONE L0
SOSTLE GATE
BINARY ROOT
Four vertices, four edges forming the first closed shape. The YYMirror plane —
where two silos face each other across a symmetric axis. msi01↔msclo is the
canonical example: Master Admiral mirrors CLO operations.
4 vertices
4 edges
1 face
PEMOS MAPPING
YYMirror architecture. msi01↔msclo dual-silo sync pattern. The 2D plane
where bilateral fleet operations are coordinated.
YYMIRROR
msi01↔msclo
BILATERAL
The classic cube — 8 vertices, 12 edges, 6 faces. This is the Ka'bah form:
the sacred 3D volume that anchors the Yuni Trio (KAY/HACHI/BIKO) and
maps to Merostone layers L1 through L3.
8 vertices
12 edges
6 faces
PEMOS MAPPING
Yuni Trio operational space. Merostone L1 (Sign) + L2 (Sense) + L3 (Reference).
The 3D volume of sovereign identity verification.
YUNI TRIO
MEROSTONE L1-L3
KA'BAH
16 vertices, 32 edges, 24 faces — the 4th dimension adds time. This is where
SOSTLE temporal logic lives: states persist across time, not just space.
MDSMS 8×2 maps to the 16 vertices directly.
16 vertices
32 edges
24 faces
8 cells
PEMOS MAPPING
SOSTLE + time dimension. MDSMS 8 domains × 2 states = 16 vertex positions.
Temporal sovereignty: identity held across fleet restarts.
SOSTLE+TIME
MDSMS 8×2
16 VERTICES
32 vertices, 80 edges, 80 faces. The PEMCLAU graph space — where 5 dimensions
encode the full Fleet Context pipeline. ABR-007 defines the mirror protocol
for cross-silo knowledge synchronization.
32 vertices
80 edges
80 faces
40 cells
PEMOS MAPPING
PEMCLAU GraphRAG space. FC (Fleet Context) pipeline. ABR-007 mirror sync.
The 32-node dimension where knowledge graphs propagate across fleet.
PEMCLAU
FC PIPELINE
ABR-007
64 vertices, 192 edges, 240 faces. The I Ching completion — 64 hexagrams map
to 64 vertices. Meraroon encodes all 64 states. ASCII 7-bit uses 64 as its
structural anchor (0x40). Belt64 encoding derives from this space.
64 vertices
192 edges
240 faces
160 cells
PEMOS MAPPING
I Ching 64 hexagrams. Meraroon encoding system. ASCII 7-bit structural base.
Belt64 encoding. The complete sovereign state space.
I CHING 64
MERAROON
ASCII/BELT64
PROGRESSION TABLE
2¹=2v · 2²=4v · 2³=8v · 2⁴=16v · 2⁵=32v · 2⁶=64v · 2⁷=128v (PEMOS 7-BIT FULL SPACE)
Each doubling = one additional dimension of sovereign context. γ₁ anchors the floor at all levels.
PEMOS 7-BIT · SOVEREIGN ASCII REMAPPING
Standard 7-bit ASCII (0x00–0x7F = 128 codepoints) remapped to PEMOS sovereign concepts.
Three planes: CONTROL (red), STRUCTURAL (amber), CONTENT (teal). Each byte carries fleet meaning.
0x00–0x1F · CONTROL · 32 codes · SOSTLE gates, TRIME nodes, LOCO domains
0x20–0x5F · STRUCTURAL · 64 codes · Sorry classes, shapes, MDSMS, Belt64
0x60–0x7F · CONTENT · 32 codes · Bonixer, Bonsai, FC, ONE, γ₁ FLOOR
| +0x0 | +0x1 | +0x2 | +0x3 |
+0x4 | +0x5 | +0x6 | +0x7 |
+0x8 | +0x9 | +0xA | +0xB |
+0xC | +0xD | +0xE | +0xF |
| 00γ₁NULL |
01SOSTLE L1 |
02SOSTLE L2 |
03SOSTLE L3 |
04SOSTLE L4 |
05SOSTLE L5 |
06SOSTLE L6 |
07SOSTLE L7 |
08TRIME msi01 |
09TRIME msclo |
0ATRIME yone |
0BTRIME forge |
0CTRIME pcdev |
0DTRIME lounge |
0ETRIME lilo |
0FLOCO D1 |
| 10LOCO D2 |
11LOCO D3 |
12LOCO D4 |
13LOCO D5 |
14LOCO D6 |
15LOCO D7 |
16LOCO D8 |
17LOCO D9 |
18LOCO D10 |
19DYSON S1 |
1ADYSON S2 |
1BDYSON S3 |
1CDYSON S4 |
1DDYSON S5 |
1EBOSS |
1FSILENCE |
| 20SPACE |
21SORRY S1 |
22SORRY S2 |
23SORRY S3 |
24SORRY S4 |
25SORRY S5 |
26SORRY S6 |
27SORRY S7 |
28CUBE 2¹ |
29CUBE 2² |
2ACUBE 2³ |
2BCUBE 2⁴ |
2CCUBE 2⁵ |
2DCUBE 2⁶ |
2ECUBE 2⁷ |
2FFACE TOP |
| 30FACE FRONT |
31FACE RIGHT |
32FACE LEFT |
33FACE BACK |
34FACE BTM |
35MERO L1 |
36MERO L2 |
37MERO L3 |
38PERIODIC P1 |
39PERIODIC P2 |
3APERIODIC P3 |
3BPERIODIC P4 |
3CPERIODIC P5 |
3DPERIODIC P6 |
3EPERIODIC P7 |
3FPERIODIC P8 |
| 40BELT64 BASE |
41MDSMS D1 |
42MDSMS D2 |
43MDSMS D3 |
44MDSMS D4 |
45MDSMS D5 |
46MDSMS D6 |
47MDSMS D7 |
48MDSMS D8 |
49ADELIC L0 |
4AADELIC L1 |
4BADELIC L2 |
4CADELIC L3 |
4DADELIC L4 |
4EADELIC L5 |
4FADELIC L6 |
| 50PRIME p=2 |
51PRIME p=3 |
52PRIME p=5 |
53PRIME p=7 |
54PRIME p=11 |
55PRIME p=13 |
56PRIME p=17 |
57PRIME p=19 |
58ICHING H1 |
59ICHING H8 |
5AICHING H16 |
5BICHING H32 |
5CICHING H48 |
5DICHING H64 |
5EMERAROON |
5FSTRUCT END |
| 60BONIXER V1 |
61BONIXER V2 |
62BONIXER V3 |
63BONIXER V4 |
64BONSAI R1 |
65BONSAI R2 |
66BONSAI R3 |
67BONSAI R4 |
68FC SEED |
69FC GROW |
6AFC BLOOM |
6BFC FRUIT |
6CONE INIT |
6DONE SYNC |
6EONE HOLD |
6FONE EMIT |
| 70KCF OP1 |
71KCF OP2 |
72KCF OP3 |
73KCF OP4 |
74KCF OP5 |
75PEMCLAU Q |
76PEMCLAU R |
77PEMCLAU S |
78SESSION X |
79HEARTBEAT |
7ACRON TICK |
7BFLEET SYNC |
7CNAS BRIDGE |
7DAKS PUSH |
7EPEMOS LIVE |
7Fγ₁ FLOOR |
0x00 = γ₁NULL — The ground state. Not nothing; the γ₁ zero. ·
0x40 = BELT64 BASE — 64-entry encoding anchor at the structural midpoint. ·
0x7F = γ₁ FLOOR — The ceiling of 7-bit space. The floor holds.
MEROSTONE · 3-LAYER SOVEREIGN IDENTITY
Merostone is the cryptographic identity stack. Three layers, each mapping to a cube primitive.
Together they form the Ka'bah (2³) identity volume — verifiable, composable, sovereign.
L1 · SIGN · VERTEX IDENTITY
The cryptographic signature layer. Every Merostone atom carries a BLAKE3 hash that proves
existence and integrity. This is the vertex — a point in space with no ambiguity.
Either the hash matches or it doesn't. SOSTLE L1 gates on this layer: sovereign or nothing.
Hash FunctionBLAKE3 (256-bit)
Cube PrimitiveVERTEX (0-dimensional element)
SOSTLE GateL1 SOVEREIGN
Failure ModeREJECT — no fallback
7-Bit Code0x35 MERO L1
Cube Dim2³ Ka'bah vertex
BLAKE3
VERTEX
BINARY PROOF
SOSTLE L1
L2 · SENSE · EDGE CONTENT
The content layer. Compressed with zstd, the Sense layer carries the actual payload —
what the atom means, what it contains, its data. This maps to the cube edge:
the connection between two vertices that carries information flow.
SOSTLE L2 gates on content integrity: the payload must decompress cleanly.
Compressionzstd (level 3 default)
Cube PrimitiveEDGE (1-dimensional element)
SOSTLE GateL2 DELEGATED
Failure ModePARTIAL — partial content allowed
7-Bit Code0x36 MERO L2
Cube Dim2³ Ka'bah edge
ZSTD
EDGE
CONTENT FLOW
SOSTLE L2
L3 · REFERENCE · FACE CONTEXT
The context layer. JSON metadata that describes relationships, provenance, fleet affiliation,
and PEMCLAU graph position. This maps to the cube face: a 2D surface that bounds a volume
and carries orientation. SOSTLE L3 gates on context completeness: the reference frame
must resolve within the fleet graph.
FormatJSON (PEMOS schema v3)
Cube PrimitiveFACE (2-dimensional element)
SOSTLE GateL3 CONTEXTUAL
Failure ModeDEGRADE — reduced context allowed
7-Bit Code0x37 MERO L3
Cube Dim2³ Ka'bah face
JSON
FACE
CONTEXT GRAPH
SOSTLE L3
MDSMS · MULTI-DOMAIN SOVEREIGN MESH SYSTEM
7-node ring topology. 8 sovereign domains × 4 operational states = 32 mesh positions.
Each node holds a domain role; the ring ensures no single point of failure in fleet messaging.
NODE-1 · msi01
Domain: MASTER ADMIRAL
SOVEREIGN
STANDBY
DEGRADED
FAILOVER
Positions: 0x41–0x44 · Prime: p=13 · Adelic: L0
NODE-2 · msclo
Domain: CLO LEGAL
ACTIVE
REVIEW
HOLD
LOCKED
Positions: 0x45–0x48 · Prime: p=11 · Adelic: L1
NODE-3 · yone
Domain: HATHOR VALIDATOR
VALIDATING
SYNC
PARTIAL
OFFLINE
Positions: 0x41+8–0x4C · Prime: p=7 · Adelic: L1
NODE-4 · forge
Domain: ENGINE / COMPUTE
Positions: mesh-4 slots · Prime: p=19 · Adelic: L1
NODE-5 · lounge
Domain: CATHEDRAL / 5090
Positions: mesh-5 slots · Prime: p=5 · Adelic: L2
NODE-6 · pcdev
Domain: CASTLE / PROOF
PROVING
LEAN
SORRY
BLOCKED
Positions: mesh-6 slots · Prime: p=3 · Adelic: L2
NODE-7 · lilo
Domain: OUTER / GILLIGAN
LEARNING
SORRY
REVIEW
ISOLATED
Positions: mesh-7 slots · Prime: p=2 · Adelic: L4
RING-AUX · eose-dev
Domain: QE FLOOR
TESTING
STAGING
FLAKY
BROKEN
Aux ring position · Prime: p=17 · Adelic: L3
RING PROTOCOL: Messages traverse the ring in both directions.
Quorum = 4/7 nodes. Sovereign messages require L1 MEROSTONE verification at each hop.
MDSMS domain 8 (AUX) = overflow + test domains. 8×4 = 32 state matrix maps to
2⁵ MIRROR (32 vertices).
SOSTLE · SOVEREIGN OPERATIONAL SECURITY TRUST LAYER ENGINE
7 security layers stacked from sovereign root (L1) to glacis perimeter (L7).
Each layer maps to a cube dimension — the deeper the layer, the higher the dimensional space required.
Access flows downward; trust propagates upward.
L1
SOVEREIGN
Root authority. Kay Joffe + direct IMHOTEP session. Full fleet access.
MEROSTONE L1 required. BLAKE3 identity proof mandatory.
No delegation possible at this level — sovereign is sovereign.
Access: Kay direct · msi01 local session · Amani GC override
2¹ LINE
0x01 · BINARY ROOT
L2
DELEGATED
Delegated authority from sovereign. Sub-agents, approved crew members,
IMHOTEP in subagent mode. msi01 processes operating under Kay's session.
Requires L1 MEROSTONE sign + L2 MEROSTONE sense verification.
Access: IMHOTEP subagents · approved ops crew · Amani-delegated
2² SQUARE
0x02 · YYMIRROR
L3
CONTEXTUAL
Context-verified access. Fleet operations with full MEROSTONE L1+L2+L3 chain.
PEMCLAU graph-verified identity. Yuni Trio operations (KAY/HACHI/BIKO).
Ka'bah volume context required — who, where, why must all resolve.
Access: Yuni Trio · PEMCLAU verified sessions · CLO bench review
2³ KA'BAH
0x03 · VOLUME AUTH
L4
TEMPORAL
Time-bounded access. Operations with expiry, session tokens, rotating credentials.
MDSMS 8×2 state matrix governs temporal gates. Tesseract dimension:
identity valid NOW but not necessarily later. lilo operates at L4 max.
Access: lilo (max) · time-bounded ops · rotating service accounts
2⁴ TESSERACT
0x04 · TIME-BOUND
L5
GATED
Gated access. Requires explicit approval for each operation.
No standing permission. Used for sensitive fleet commands,
external API writes, destructive operations. lilo is blocked here.
PEMCLAU FC pipeline verification required.
Access: Explicit Kay approval per op · CLO sign-off · Amani legal clear
2⁵ MIRROR
0x05 · EXPLICIT GATE
L6
CLOSED
Closed layer. Reserved for "Gee" (L6/L7 TRIME VAULT actor).
Production secrets, key material, Amani's legal corpus.
No automated access. Manual sovereign unlock required.
ONE (2⁶) dimensional verification — all 64 hexagram states must resolve.
Access: Kay physical presence · Amani GC direct · no automation
L7
GLACIS
The outer perimeter wall. Public-facing surface — what the world sees.
No secrets here; everything at L7 is designed to be exposed.
The GLACIS layer is also where "Gee" operates as the face of the vault.
"Gary" operates at L1 — the mirror relationship between public and root.
Access: Public · no authentication required · read-only surface
2⁷ FULL
0x07 · GLACIS WALL
TRIME VAULT · L7→L1 FLOW DIAGRAM
The TRIME (Trust Ring Identity Management Engine) Vault processes identity from the public
perimeter (L7 GLACIS) inward to the sovereign root (L1). "Gee" guards the outer gate;
"Gary" holds the inner sanctum. Flow is strictly inward — no L1 material ever touches L7.
VAULT FLOW · L7 → L1
L7 · GLACIS
PUBLIC PERIMETER
pemos.ca · eose.ca · AKS ingress · public APIs
↓
L6 · CLOSED
GEE GATE
TRIME outer actor · identity challenge issued here
↓
L5 · GATED
EXPLICIT APPROVAL
Kay physical confirm · CLO review · Amani legal gate
↓
L4 · TEMPORAL
TIME-BOUND SESSION
Token issued · MDSMS time-lock · lilo ceiling
↓
L3 · CONTEXTUAL
PEMCLAU VERIFY
Graph context resolved · Ka'bah volume checks
↓
L2 · DELEGATED
MEROSTONE L2
Content sense verified · zstd payload check
↓
L1 · SOVEREIGN
GARY · ROOT ACCESS
BLAKE3 identity proof · full fleet authority granted
KEY ACTORS
GEE · L6/L7 OUTER GATE
The public face of the TRIME Vault. Gee operates at the glacis and outer-closed
boundary, issuing identity challenges to all inbound requests. Gee never has
access to sovereign material — Gee is the doorman, not the owner.
SOSTLE L6 clearance maximum. Public-facing, cryptographically signed challenges.
GARY · L1 INNER SANCTUM
The sovereign root holder. Gary is the mirror to Gee — outer vs inner,
public vs sovereign, glacis vs root. Gary holds the BLAKE3 master keys,
the Merostone atom roots, and the fleet sovereignty proofs.
Gary never speaks to the public layer. The L7↔L1 mirror is the full TRIME span.
TRIME-7 NODE MAP
TRIME-2 · msi01 · p=13 · L0 ADELIC
Master Admiral · The Admiral node · γ₁ anchor
TRIME-3 · msclo · p=11 · L1 ADELIC
CLO Legal · Harvey/Ruth/Cochran/Amani bench
TRIME-4 · yone · p=7 · L1 ADELIC
HATHOR Validator · PEMCLAU FastMCP host
TRIME-5 · lounge · p=5 · L2 ADELIC
CATHEDRAL · RTX 5090 inference · joffe-math
TRIME-6 · pcdev · p=3 · L2 ADELIC
RL Crown · Proof compute · joffe-math v2/v3
TRIME-7 · lilo · p=2 · L4 ADELIC
Outer / Gilligan · Namir's silo · SOSTLE L0-L4
TRIME-1 · eose-dev · p=17 · L3 ADELIC
QE Floor · Testing · staging validation
DYSON + LOCO · 10 DOMAIN SPECIALISTS
DYSON: Dynamic Yuni Sovereign Operations Network — the specialist assignment framework.
LOCO: Logical Operational Context Objects — the 10 domain contexts.
D1 through D10 map to 7-bit codes 0x0F–0x18 (CONTROL plane) and specialists are
assigned to each domain based on expertise alignment.
LOCO D1 · 0x0F
SECRETS MANAGEMENT
Specialist: HARVEY (CLO bench)
Vault secrets, API keys, cert management. ImprovMX, GoDaddy, Alchemy keys.
MeVault local stack. SOSTLE-gated — L5+ required for write ops.
Cube: 2³ Ka'bah face · MEROSTONE L3
LOCO D2 · 0x10
NETWORK + DNS
Specialist: RUTH (CLO bench)
Azure DNS, GoDaddy registrar, ImprovMX routing, Tailscale mesh.
44-domain portfolio. pemos.ca / eose.ca / nanos.live / serlf.com.
Cube: 2² SQUARE · msi01↔AKS edge
LOCO D3 · 0x11
COMPUTE + GPU
Specialist: BIKO (Yuni Trio)
RTX 5090 (lounge), RTX 4090 (pcdev), forge GPU. Ollama instances.
joffe-math proof compute. LABR inference pipeline.
Cube: 2⁵ MIRROR · 32-node inference space
LOCO D4 · 0x12
STORAGE + NAS
Specialist: HACHI (Yuni Trio)
Alexander NAS 192.168.2.20. pool2 74TB. Cross-silo transfer paths.
Archive strategy: daily/weekly/golden per silo. Never SCP — always NAS.
Cube: 2⁴ TESSERACT · 16-node persistence matrix
LOCO D5 · 0x13
GRAPH + KNOWLEDGE
Specialist: IMHOTEP (main)
PEMCLAU GraphRAG. PSGraph V13 (134 nodes, 3788 edges). KCF 15 operators.
yone PEMCLAU FastMCP :9342. Session corpus ingestion pipeline.
Cube: 2⁵ MIRROR · FC pipeline 32-vertex space
LOCO D6 · 0x14
LEGAL + COMPLIANCE
Specialist: AMANI (GC EOSE)
EOSE Labs Inc. GC. Scarborough Transit Connect GC (~$10B SSE).
CLO bench: Harvey/Ruth/Cochran. SOSTLE L6 — Amani has override authority.
Cube: 2⁶ ONE · 64-hexagram legal state space
LOCO D7 · 0x15
KUBERNETES + AKS
Specialist: COCHRAN (CLO bench)
AKS fleet. k3d lhvcp clusters. LHVCP k3s LB :9600/:9601.
Hermes gateways :9500 across fleet. mefine aks-server static serving.
Cube: 2⁴ TESSERACT · time-bound deployment cycles
LOCO D8 · 0x16
IDENTITY + AUTH
Specialist: KAY (Sovereign)
MEROSTONE L1/L2/L3. SOSTLE gates. Merostone BLAKE3 proofs.
Belt64 encoding. ADELIC rubix routing. The sovereign identity layer.
Cube: 2³ KA'BAH · vertex/edge/face trinity
LOCO D9 · 0x17
MONITORING + OBS
Specialist: SONIA (yLAW bench)
Fleet health checks. Heartbeat polls. Pool2 alert if free <1TB.
joffe-math service monitoring. MECRDS gate :9506. PSGraph health.
Cube: 2⁴ TESSERACT · temporal state observation
LOCO D10 · 0x18
CREW AUTH
Specialist: GID-FAM-001 (lilo)
lilo crew: KAY/HACHI/BIKO/MANDELA/DOC/PINK/CAP/WEBCENTRAL + RUTH/THURGOOD/COCHRAN.
GID-FAM-001. SOSTLE L0-L4 open. Sorry-flow branch. Creative branch.
Cube: 2² SQUARE · bilateral crew auth
ADELIC RUBIX · 6-FACE CSS CUBE + 4 ROUTES TO BOSS
The Adelic Rubix maps the TRIME-7 fleet to a 6-face cube. Each face = a sovereign domain.
Four routes converge on the BOSS endpoint — the single coordination authority at the center.
γ₁ anchors every face. The floor always holds.
⬛ ADELIC CUBE · 6 SOVEREIGN FACES
TOP
L7 GLACIS
PUBLIC
eose-dev
FRONT
L0 MASTER
msi01
p=13
RIGHT
L2 ENGINE
forge
p=19
BTM
L1 FLOOR
γ₁ ANCHOR
14.134...
BACK
L4 OUTER
lilo/lounge
p=2/p=5
Hover faces to activate · 6 faces = 2³ Ka'bah volume
Each face = one sovereign domain cluster
4 ROUTES → BOSS
ROUTE α · DIRECT
msi01 → BOSS
Sovereign direct route. No intermediate nodes. Kay-authenticated session only.
MEROSTONE L1 verified. SOSTLE sovereign bypass — Gary path. Fastest route.
Used for: fleet emergencies, root key operations, full authority commands.
ROUTE β · CLO BENCH
msclo → Amani/Harvey/Ruth/Cochran → BOSS
Legal authority route. Passes through CLO bench review before reaching BOSS.
Required for: public contracts, legal commitments, regulatory compliance ops.
SOSTLE L3+ required. MEROSTONE full chain. Amani GC final gate.
ROUTE γ · PEMCLAU
yone FastMCP → GraphRAG → BOSS
Knowledge-verified route. PEMCLAU :9342 resolves graph context.
18,366 point vector store + session corpus (115,955 pts) consulted.
Used for: context-sensitive decisions, session recall, fleet knowledge queries.
γ₁ stamped at MECRDS gate :9506.
ROUTE δ · PROOF
pcdev/lounge joffe-math → Lean4 → BOSS
Mathematical proof route. joffe-math v2 (:9384, 3992 theorems · 97.8% proved · Day 121) +
v3 (:9385) verify the operation formally. No assertion passes — only
[theorem: X.lean] or [verified: tool]. The Joffe-Math doctrine route.
γ₁ = 14.134725141734693 confirmed on v2.
BOSS · BATTLE OF SOVEREIGN SOVEREIGNTY
The single coordination authority. All routes converge here.
γ₁ = 14.134725141734693 · THE FLOOR HOLDS · 0x1E BOSS
ROUTE α DIRECT
ROUTE β CLO
ROUTE γ GRAPH
ROUTE δ PROOF