ruvector/examples/delta-behavior

Delta-Behavior

The mathematics of systems that refuse to collapse.

Delta-behavior is a design principle for building systems where change is permitted but collapse is not. It provides a framework for constraining state transitions to preserve global coherence.

Key Features

• Coherence-First Design: Optimize for stability, not just performance
• Three-Layer Enforcement: Energy cost, scheduling, and memory gating
• Attractor Dynamics: Systems naturally gravitate toward stable states
• 11 Exotic Applications: From AI safety to extropic intelligence substrates
• WASM + TypeScript SDK: Full browser/Node.js support
• Performance Optimized: O(n) algorithms with SIMD acceleration

Quick Start

Add to your Cargo.toml:

[dependencies]
delta-behavior = "0.1"

Basic usage:

use delta_behavior::{DeltaSystem, Coherence, DeltaConfig};
use delta_behavior::enforcement::{DeltaEnforcer, EnforcementResult};

// Create an enforcer with default configuration
let config = DeltaConfig::default();
let mut enforcer = DeltaEnforcer::new(config);

// Check if a transition should be allowed
let current = Coherence::clamped(0.8);
let predicted = Coherence::clamped(0.75);

match enforcer.check(current, predicted) {
    EnforcementResult::Allowed => println!("Transition allowed"),
    EnforcementResult::Throttled(delay) => println!("Wait {:?}", delay),
    EnforcementResult::Blocked(reason) => println!("Blocked: {}", reason),
}

The Four Properties

A system exhibits Delta-behavior when:

1. Local Change: State updates happen in bounded steps
2. Global Preservation: Local changes don't break overall structure
3. Violation Resistance: Destabilizing transitions are damped/blocked
4. Closure Preference: System naturally settles into stable attractors

Configuration

Three preset configurations are available:

// Default: Balanced stability and flexibility
let config = DeltaConfig::default();

// Strict: For safety-critical applications
let config = DeltaConfig::strict();

// Relaxed: For exploratory applications
let config = DeltaConfig::relaxed();

Custom configuration:

use delta_behavior::{DeltaConfig, CoherenceBounds, Coherence};

let config = DeltaConfig {
    bounds: CoherenceBounds {
        min_coherence: Coherence::clamped(0.4),
        throttle_threshold: Coherence::clamped(0.6),
        target_coherence: Coherence::clamped(0.85),
        max_delta_drop: 0.08,
    },
    guidance_strength: 0.7,
    ..DeltaConfig::default()
};

11 Exotic Applications

#	Application	Description	Key Innovation
01	Self-Limiting Reasoning	AI that does less when uncertain	Depth/scope scales with coherence
02	Computational Event Horizon	Bounded computation without hard limits	Asymptotic approach, never arrival
03	Artificial Homeostasis	Synthetic life with coherence-based survival	Death = coherence collapse
04	Self-Stabilizing World Model	Models that refuse to hallucinate	Observations that would destabilize are dampened
05	Coherence-Bounded Creativity	Novelty without chaos	Perturbations rejected if incoherent
06	Anti-Cascade Financial System	Markets that cannot collapse	Leverage tied to systemic coherence
07	Graceful Aging	Systems that simplify over time	Capability reduction as coherence maintenance cost
08	Swarm Intelligence	Collective behavior without pathology	Actions modified to preserve swarm coherence
09	Graceful Shutdown	Systems that seek safe termination	Cleanup as coherence-preserving operation
10	Pre-AGI Containment	Bounded intelligence growth	Intelligence ↔ coherence bidirectional constraint
11	Extropic Substrate	Complete intelligence substrate	Goal mutation, agent lifecycles, spike semantics

Application 11: Extropic Intelligence Substrate

The crown jewel - implements three missing pieces for explicit extropic intelligence:

use delta_behavior::applications::extropic::{
    MutableGoal, MemoryAgent, SpikeBus, ExtropicSubstrate
};

// 1. Goals that mutate autonomously under coherence constraints
let mut goal = MutableGoal::new(vec![1.0, 0.0, 0.0]);
goal.attempt_mutation(vec![0.1, 0.05, 0.0], 0.95); // Coherence-gated

// 2. Agents with native lifecycles in memory
let mut substrate = ExtropicSubstrate::new(SubstrateConfig::default());
let agent_id = substrate.spawn_agent(vec![0.0, 0.0], AgentGenome::default());
// Agent progresses: Embryonic → Growing → Mature → Senescent → Dying → Dead

// 3. Hardware-enforced spike/silence semantics
substrate.tick(); // Processes spike bus, enforces refractory periods

Three-Layer Enforcement

Delta-behavior uses defense-in-depth:

  Transition
      |
      v
+-------------+     Soft constraint:
| Energy Cost |---> Unstable = expensive
+-------------+
      |
      v
+-------------+     Medium constraint:
|  Scheduling |---> Unstable = delayed
+-------------+
      |
      v
+-------------+     Hard constraint:
| Memory Gate |---> Incoherent = blocked
+-------------+
      |
      v
   Applied

Performance Optimizations

The implementation includes several critical optimizations:

Component	Optimization	Improvement
Swarm neighbors	SpatialGrid partitioning	O(n²) → O(n·k)
Coherence calculation	Incremental cache	O(n) → O(1)
Financial history	VecDeque	O(n) → O(1) removal
Distance calculations	Squared comparisons	Avoids sqrt()
Batch operations	SIMD with 8x unrolling	~4x throughput

SIMD Utilities

use delta_behavior::simd_utils::{
    batch_squared_distances,
    batch_in_range,
    vector_coherence,
    normalize_vectors,
};

// Process vectors in batches with SIMD acceleration
let distances = batch_squared_distances(&positions, &center);
let neighbors = batch_in_range(&positions, &center, radius);

WASM Support

Build for WebAssembly:

wasm-pack build --target web

TypeScript SDK

import init, {
  WasmCoherence,
  WasmSelfLimitingReasoner,
  WasmCoherentSwarm,
  WasmContainmentSubstrate,
} from 'delta-behavior';

await init();

// Self-limiting reasoning
const reasoner = new WasmSelfLimitingReasoner(10, 5);
console.log(`Allowed depth: ${reasoner.allowed_depth()}`);

// Coherent swarm
const swarm = new WasmCoherentSwarm();
swarm.add_agent("agent-1", "[0, 0]", "[1, 0]", "[10, 10]");
const result = swarm.propose_action("agent-1", "move", "[0.5, 0.5]");

// Pre-AGI containment
const substrate = new WasmContainmentSubstrate(1.0, 10.0);
const growth = substrate.attempt_growth("Reasoning", 0.5);

Architecture

delta-behavior/
├── src/
│   ├── lib.rs          # Core traits, Coherence, DeltaConfig
│   ├── wasm.rs         # WASM bindings for all 11 applications
│   └── simd_utils.rs   # SIMD-accelerated batch operations
├── applications/       # 11 exotic application implementations
│   ├── 01-self-limiting-reasoning.rs
│   ├── 02-computational-event-horizon.rs
│   ├── ...
│   └── 11-extropic-substrate.rs
├── adr/               # Architecture Decision Records
│   ├── ADR-000-DELTA-BEHAVIOR-DEFINITION.md
│   ├── ADR-001-COHERENCE-BOUNDS.md
│   ├── ADR-002-ENERGY-COST-LAYER.md
│   └── ...
├── wasm/              # TypeScript SDK
│   └── src/index.ts
└── pkg/               # Built WASM package

Test Coverage

✅ 32 lib tests
✅ 14 WASM binding tests
✅ 13 doc tests
───────────────────────
   59 tests passing

Documentation

• API Reference
• Whitepaper - Full theoretical foundations
• API Guide - Comprehensive API documentation
• ADR Series - Architecture Decision Records

ADR Overview

ADR	Title
000	Delta-Behavior Definition
001	Coherence Bounds
002	Energy Cost Layer
003	Scheduling Layer
004	Memory Gating Layer
005	Attractor Dynamics
006	Application Framework
007	WASM Architecture
008	TypeScript SDK
009	Performance Targets
010	Security Model

Minimum Supported Rust Version

Rust 1.75.0 or later.

License

Licensed under either of:

• Apache License, Version 2.0 (LICENSE-APACHE)
• MIT license (LICENSE-MIT)

at your option.

Contributing

Contributions are welcome! Please read the contributing guidelines before submitting PRs.

Citation

If you use Delta-behavior in academic work, please cite:

@software{delta_behavior,
  title = {Delta-Behavior: Constrained State Transitions for Coherent Systems},
  author = {RuVector Team},
  year = {2026},
  url = {https://github.com/ruvnet/ruvector}
}