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 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:

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

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}
}