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AI-Native Cognitive Architecture with Sphere-Vortex Foundations
Dual-layer architecture bridging AI cognition and mathematical physics through Kuramoto oscillator dynamics, Hebbian STDP learning, and non-anthropocentric automation.
The Sphere-Vortex Framework implements a novel cognitive architecture that bridges:
AI Cognitive Interface - Relevance scoring, semantic proximity, attention diffusion
Mathematical Substrate - Kuramoto oscillators, wave dynamics, spherical harmonics
Key innovations:
L09 Advanced Monitoring - Welford's anomaly detection, EMA resonance, flow health (200ms cycle)
L10 Emergent Behaviour - 5 pattern detection algorithms, signal aggregation, catalyst (500ms cycle)
L11 Omniscience Loop - 4-phase coherence cycle (Measurement → Evaluation → Adaptation → Verification, 100ms)
L12 Evolution Chamber - NSGA-II multi-objective genetic algorithm, 8 evolvable parameters (5000ms cycle)
Hebbian STDP Learning - Spike-timing dependent plasticity for pathway reinforcement
Homeostatic Regulation - Automatic LTP:LTD ratio maintenance (target: 2.0-4.0)
NEXUS Collision Detection - Module dependency conflict resolution
Non-Anthropocentric Automation - 14 Claude Code hooks for autonomous operation
32 API Routes - Full REST API with Prometheus metrics (25 gauges/counters)
1,309 Tests - 995 library + 314 integration/e2e tests, all passing
See MASTER_INDEX.md for the complete project inventory
See .claude/CLAUDE.md for context bootstrap
# Clone and build
git clone < repository>
cd sphere_vortex_framework
# Build release
cargo build --release
# Run tests
cargo test
# Clippy compliance (god-tier)
cargo clippy -- -D warnings -W clippy::pedantic
# Start service (port 8120)
./target/release/sphere_vortex --config config/sphere_vortex.toml
# Health check
curl http://localhost:8120/health
See ai_specs/SPEC_008_DEPLOYMENT_PROCEDURES.md for detailed deployment
Layer 1: AI Cognitive Interface
Component
Symbol
Description
Relevance Scores
rᵢ ∈ [0,1]
Context relevance weighting
Semantic Proximity
d(a,b)
Distance in embedding space
Attention Diffusion
∇·A
Attention flow dynamics
Episodic Memory
Mₑ
Experience-based injection
Layer 2: Mathematical Substrate
Component
Formula
Description
Kuramoto Dynamics
dφᵢ/dt = ωᵢ + (K/N)·Σⱼ sin(φⱼ - φᵢ)
Oscillator synchronization
Order Parameter
r·e^(iψ) = (1/N)·Σ e^(iφⱼ)
Synchronization measure
Wave Equation
∇²Ψ - (1/c²)∂²Ψ/∂t² = 0
Wave propagation
Spherical Harmonics
Yₗᵐ(θ,φ)
Angular decomposition
See ai_docs/CONTEXT_BRIDGE_PART1_FOUNDATION.md for architecture details
sphere_vortex_framework/
├── README.md # This file
├── MASTER_INDEX.md # Complete project inventory
├── Cargo.toml # Rust dependencies
│
├── src/ # Source code (37 files, 9 module directories)
│ ├── core/ # M1-M3: Foundation
│ ├── vortex/ # M4-M8: Mathematical substrate
│ ├── mesh/ # M9-M11: Service mesh
│ ├── cognitive/ # M12-M14: Cognitive tools (18)
│ ├── learning/ # M15-M17: Hebbian STDP
│ ├── bridge/ # M18: Translation + EventBridge
│ ├── nexus/ # M19-M21: Collision detection
│ ├── events/ # M22-M23: Event system
│ └── omniscience/ # L11: Omniscience loop (IMPLEMENTED)
│
├── config/ # Configuration (12 files)
│ ├── sphere_vortex.toml # Main configuration
│ ├── dev.toml # Development overrides
│ ├── staging.toml # Staging overrides
│ ├── prod.toml # Production overrides
│ ├── vortex.toml # Vortex dynamics
│ ├── learning.toml # Learning system
│ ├── cognitive_tools.toml # Cognitive tools
│ ├── services.toml # Service mesh
│ ├── database.toml # Database
│ ├── logging.toml # Logging
│ └── metrics.toml # Metrics & tracing
│
├── .claude/ # Claude Code integration
│ ├── CLAUDE.md # Context bootstrap
│ ├── settings.json # Hook configuration
│ ├── hooks/ # 14 automation hooks
│ ├── skills/ # 10 cognitive skills
│ └── state/ # Runtime state (12 files)
│
├── ai_docs/ # Architecture documentation
│ ├── QUICKSTART.md # Navigation hub
│ ├── layers/ # Layer specs (L01-L11)
│ └── modules/ # Module specs (M01-M23)
│
├── ai_specs/ # Specifications (14 files)
│ ├── SPEC_INDEX.md # Specification index
│ ├── SPEC_001-010_*.md # Core specifications
│ ├── API_SPEC.md # API documentation
│ └── openapi.yaml # OpenAPI 3.0
│
└── migrations/ # Database schemas (7 files)
Source Modules (23 + Omniscience)
Layer
Modules
Purpose
L01 Core
M1-M3
Foundation types, errors (15), config (7 sections)
L02 Vortex
M4-M8
Kuramoto, wave, momentum, harmonics
L03 Mesh
M9-M11
Service mesh, health, circuit breaker
L04 Cognitive
M12-M14
18 cognitive tools
L05 Learning
M15-M17
Hebbian STDP, homeostatic
L06 Bridge
M18+
Layer 1 ↔ Layer 2 translation + EventBridge
L07 NEXUS
M19-M21
Collision detection, routing
L08 Events
M22-M23
Event system, dispatcher
L11 Omniscience
Implemented
4-phase coherence loop, adaptation signals
Cognitive Tools (18 Total)
Priority
Count
Tools
P0 Critical
6
observe_self, observe_context, query_pathways, reflect_session, compute_order_parameter, get_unified_state
P1 High
5
suggest_next_tools, detect_collisions, route_query, kuramoto_step, compute_critical_coupling
P2 Medium
5
track_momentum, record_synergy, detect_vortex, compute_interior_field, detect_feedback_loop
P3 Low
2
compute_angular_momentum, analyze_harmonics
See ai_specs/SPEC_002_COGNITIVE_TOOLS.md for tool specifications
Configuration Files (12 Total)
File
Purpose
sphere_vortex.toml
Main configuration with all settings
dev.toml
Development: debug logging, relaxed timeouts
staging.toml
Staging: production-like with full tracing
prod.toml
Production: optimized, strict security
vortex.toml
Vortex dynamics: Kuramoto, wave, harmonics
learning.toml
Learning: STDP, homeostatic, pathways
cognitive_tools.toml
Tools: 17 tools with schemas and timeouts
services.toml
Mesh: 9 ULTRAPLATE services
database.toml
Database: SQLite with migrations
logging.toml
Logging: levels, formats, rotation
metrics.toml
Metrics: Prometheus, OpenTelemetry
# Server
port = 8120
# Vortex
coupling_strength = 2.5
oscillator_count = 17
coherence_threshold = 0.85
# Learning
ltp_rate = 0.1
ltd_rate = 0.05
stdp_window_ms = 100
# Homeostatic Targets
target_relevance = 0.85
target_coherence = 0.90
target_synergy = 0.85
See config/README.md for configuration documentation
Runtime State Files (12 Total)
File
Layer
Purpose
unified_state.json
All
Complete system state
module_tensors.json
All
11D tensors for 23 modules
vortex_state.json
L02
Kuramoto oscillators, wave, momentum
learning_state.json
L05
STDP, homeostatic, pathways
mesh_state.json
L03
Service health, circuit breakers
cognitive_state.json
L04
17 tools, introspection
nexus_state.json
L07
Collision, routing, synergy
event_state.json
L08
Event categories, dispatcher
bridge_state.json
L06
Translation functions
core_state.json
L01
Error counts, configuration
session_state.json
-
Session tracking
Index
Label
Range
0
module_id
[1, 23]
1
layer_id
[1, 8]
2
complexity
[0, 1]
3
synergy
[0, 1]
4
resonance
[0, 1]
5
tension
[0, 1]
6-8
momentum_xyz
[-1, 1]
9
coherence
[0, 1]
10
readiness
[0, 1]
See .claude/state/STATE_INDEX.md for state documentation
Specification Files (10 Core + 4 API)
Spec
Purpose
SPEC_001
Architecture Paradigm
SPEC_002
Cognitive Tools (17)
SPEC_003
Memory & Learning
SPEC_004
Integration & Service Mesh
SPEC_005
Error Handling & Robustness
SPEC_006
Performance & Observability
SPEC_007
Security & Scalability
SPEC_008
Deployment Procedures
SPEC_009
Code Conventions
SPEC_010
Testing Requirements
See ai_specs/SPEC_INDEX.md for specification index
Event
Hooks
PreToolUse
compliance_guard, sensitive_file_guard, dead_code_detector, anti_pattern_scanner
PostToolUse
learning_recorder, code_formatter, homeostatic_monitor, ralph_loop_controller
SessionStart
context_loader
UserPromptSubmit
skill_detector
Stop
context_preserver
SubagentStop
subagent_tracker
Notification
synthex_notifier
Skill
Modules
Purpose
kuramoto-sync
M4
Oscillator synchronization
stdp-learning
M15-M17
STDP learning
compilation-compliance
All
God-tier clippy
testing-excellence
All
God-tier testing
framework-health
All
Health monitoring
module-tensor
M3
11D tensor analysis
nexus-collision
M19-M21
Collision detection
vortex-detect
M5-M8
Vortex patterns
homeostatic-tune
M16
Homeostatic control
anti-pattern
All
Anti-pattern detection
See .claude/hooks/HOOKS_INDEX.md for hook documentation
Service
Port
Synergy
Sphere-Vortex
8120
-
SYNTHEX
8090
0.985
SAN-K7
8100
0.992
NAIS
8101
0.974
CodeSynthor V7
8110
0.985
Tool Library
8105
-
See config/services.toml for service configuration
Rust 1.75+ (2021 edition)
SQLite 3.x
Python 3.9+ (for hooks)
# Development build
cargo build
# Release build
cargo build --release
# Run tests
cargo test
# Clippy (god-tier)
cargo clippy -- -D warnings -W clippy::pedantic
# Format
cargo fmt -- --check
# Coverage
cargo tarpaulin --fail-under 80
# Run benchmarks
cargo bench
# Run specific benchmark
cargo bench --bench kuramoto_dynamics
Benchmark
Layer
Description
kuramoto_dynamics
L02
Oscillator integration, order parameter
pathway_learning
L05
STDP, homeostatic regulation
collision_detection
L07
NEXUS collision, routing, synergy
tensor_operations
L01
11D tensor manipulation
cognitive_tools
L04
Tool execution, planning
event_dispatch
L08
Event creation, dispatching
wave_dynamics
L02
Wave equation, harmonics
See benches/README.md for detailed benchmark documentation.
Environment-Specific Builds
# Development
cargo run -- --config config/sphere_vortex.toml --env dev
# Staging
./target/release/sphere_vortex --config config/sphere_vortex.toml --env staging
# Production
./target/release/sphere_vortex --config config/sphere_vortex.toml --env prod
Gate
Requirement
unsafe code
Zero
.unwrap()
Zero
.expect()
Zero
Clippy warnings
Zero
Test coverage
≥ 80%
Documentation
100% public items
LTP_RATE : 0 . 1 // Long-Term Potentiation
LTD_RATE : 0.05 // Long-Term Depression
STDP_WINDOW_MS : 100 // Timing window
HEALTHY_RATIO : 2 . 0 -4.0 // LTP:LTD balance
See ai_specs/SPEC_009_CODE_CONVENTIONS.md for coding standards
Architecture Documentation
Layer & Module Documentation
User Documentation (docs/)
Version: 2.0.0 | Status: DEPLOYED | L11 Omniscience: IMPLEMENTED
Component
Count
Status
Source modules
23 + Omniscience
Implemented
Source files
37
Implemented
Tests (lib + integration)
1,070
All passing
Release binary
bin/sphere_vortex (4.4MB)
Built
Specifications
14
Complete
Config files
12
Complete
State files
12
Complete
Migrations
7
Complete
Skills
10
Complete
Hooks
14
Complete
Endpoint
Method
Purpose
/api/omniscience/coherence
GET
Current coherence + severity
/api/omniscience/metrics
GET
Snapshots + oscillator state
/api/omniscience/adapt
POST
Trigger manual adaptation
/api/omniscience/history
GET
Historical coherence
Sphere-Vortex Framework v2.0.0 | 23 Modules + Omniscience | DEPLOYED
Updated: 2026-01-31 | L11 Omniscience Loop Implemented | 1,070 Tests Passing