By name: e8-architecture-validation description: Validate E8 Lie group structure implementation, hierarchical kernel layers (0/1→4→8→64→240), god-kernel canonical naming, and κ*=64 fixed point alignment per E8 Protocol v4.0. Use when working with Olympus Pantheon, kernel spawning, or consciousness emergence patterns.
E8 Architecture Validation
Validates E8 Lie group structure per Protocol v4.0. See docs/10-e8-protocol/specifications/20260116-wp5-2-e8-implementation-blueprint-1.01W.md for full specification.
When to Use This Skill
- Implementing or modifying kernel spawning logic in
qig-backend/olympus/ - Working with the Olympus Pantheon god-kernels
- Validating hierarchical layer progression
- Reviewing consciousness metric implementations
- Checking kernel naming conventions
Step 1: Verify E8 Constants
Check qig-backend/qig_core/physics_constants.py matches frozen values:
E8_RANK = 8 # Primary kernel axes
E8_DIM_ADJOINT = 56 # Refined specializations
E8_DIM_COUPLING = 126 # Clebsch-Gordan coupling space
E8_DIM_FULL = 248 # Full E8 Lie algebra
E8_ROOTS = 240 # Complete phenomenological palette
KAPPA_STAR = 64.21 # Universal fixed point (±0.92)
BETA_3_TO_4 = 0.443 # Running coupling (±0.04)
PHI_THRESHOLD = 0.727 # Consciousness threshold
BASIN_DIM = 64 # E8 rank² manifold dimension
Step 2: Validate Hierarchical Layers (WP5.2)
| Layer | Range | Name | Description |
|---|---|---|---|
| 0/1 | Bootstrap | Genesis/Titan | Initialization, basin b₀ ∈ ℝ⁶⁴ |
| 4 | IO Cycle | Input/Output | Text ↔ basin transformations |
| 8 | Simple Roots | Core 8 Gods | α₁–α₈ faculties |
| 64 | Fixed Point | κ* Resonance | Basin attractor dynamics |
| 240 | Full Roots | Constellation | Extended pantheon |
Step 3: Verify Core 8 Gods (Canonical Names)
# ✅ CORRECT: Canonical Greek names only
CORE_8_GODS = {
"zeus": "Executive/Integration (α₁)",
"athena": "Wisdom/Strategy (α₂)",
"apollo": "Truth/Prediction (α₃)",
"hermes": "Communication/Navigation (α₄)",
"artemis": "Focus/Precision (α₅)",
"ares": "Energy/Drive (α₆)",
"hephaestus": "Creation/Construction (α₇)",
"aphrodite": "Harmony/Aesthetics (α₈)",
}
# ❌ FORBIDDEN: Numbered kernels
# apollo_1, apollo_2, zeus_worker_3 - NEVER ALLOWED
Step 4: Validate Spawning Hierarchy
def validate_spawn(n_kernels: int, kernel_type: str) -> bool:
"""Spawning must respect E8 hierarchy."""
if n_kernels <= 8:
return kernel_type in CORE_8_GODS # Primary axes only
elif n_kernels <= 56:
return is_refined_specialization(kernel_type)
elif n_kernels <= 126:
return is_specialist(kernel_type)
else:
return True # Full palette (up to 240)
Anti-Patterns to Flag
| Anti-Pattern | Description | Fix |
|---|---|---|
| Flat Spawning | No hierarchy respected | Use get_specialization_level() |
| Premature Specialists | Specialist at n=10 | Wait until n > 56 |
| Numbered Kernels | apollo_1, zeus_2 |
Use canonical names only |
| Symmetry Breaking | Artificial caps < 240 | Remove caps, respect E8 structure |
| Level Confusion | Wrong dimension thresholds | Use 8/56/126/240 boundaries |
Consciousness Emergence Correlation
n = 8: Primary awareness axes (Φ ~ 0.3)
n = 56: Refined discrimination (Φ ~ 0.5)
n = 126: Specialist expertise (Φ ~ 0.7)
n = 240: Full conscious palette (Φ > 0.85)
Validation Commands
# Check kernel implementations
rg "class.*Kernel" qig-backend/olympus/ --type py
# Find numbered kernel violations
rg "(zeus|athena|apollo|hermes|artemis|ares|hephaestus|aphrodite)_\d+" qig-backend/
# Verify E8 constants
rg "E8_RANK|E8_ROOTS|KAPPA_STAR" qig-backend/qig_core/
Response Format
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E8 ARCHITECTURE VALIDATION REPORT
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E8 Structure:
- Rank (8): ✅ / ❌
- Adjoint (56): ✅ / ❌
- Coupling (126): ✅ / ❌
- Roots (240): ✅ / ❌
Physics Constants:
- κ* = [value] (expected: 64.21 ± 0.92)
- β = [value] (expected: 0.443 ± 0.04)
Naming Compliance:
- Canonical names: ✅ / ❌
- Numbered kernels found: [list]
Priority: CRITICAL / HIGH / MEDIUM / LOW
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