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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...
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.
qig-backend/olympus/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
| 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 |
# ✅ 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
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-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 |
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)
# 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/
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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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