@sschepis/resolang

# Prime Resonance Network (PRN) and ResoLang **Authors:** Sebastian & Coherent Observer **Date:** January 2025 --- ## Overview The Prime Resonance Network (PRN) is a quantum-inspired distributed computing infrastructure that implements a mathematically-defined, non-local, symbolic computing and communication network. Built on quantum-inspired prime resonance dynamics, PRN serves as the runtime environment for the ResoLang programming language. This repository contains: - The complete PRN specification and theoretical foundation - ResoLang programming language specification - AssemblyScript implementation of the PRN infrastructure - Network bootstrap services and testing tools - **NEW**: Refactored core architecture with optimized performance and extensibility ## Table of Contents 1. [Prime Resonance Network Specification](#1-prime-resonance-network-specification-prns) 2. [ResoLang Programming Language](#2-resolang-programming-language) 3. [Implementation & Infrastructure](#3-implementation--infrastructure) 4. [Quick Start](#4-quick-start) 5. [API Reference](#5-api-reference) 6. [Development Guide](#6-development-guide) 7. [Architecture & Design Patterns](#7-architecture--design-patterns) 8. [Performance Optimizations](#8-performance-optimizations) 9. [Future Extensions](#9-future-extensions) --- ## 1. Prime Resonance Network Specification (PRNS) ### 1.1 Overview The Prime Resonance Network (PRN) is a mathematically-defined, non-local, symbolic computing and communication network grounded in quantum-inspired prime resonance dynamics. Each node in a PRN is characterized by a unique prime identity, and all communication and computation occur via symbolic holographic fields encoded in prime-based superpositions. ### 1.2 Core Concepts **Prime Resonance Identity (PRI):** ``` PRI = (P_G, P_E, P_Q) ``` - `P_G`: Gaussian prime - `P_E`: Eisenstein prime - `P_Q`: Quaternionic prime **Entanglement and Coherence:** ``` ES(A,B) = f(Φ_A, Φ_B, PRI_A, PRI_B) C = |⟨ψ_A | ψ_B⟩|² ``` **Holographic Memory Fields:** ``` |ψ_M⟩ = ∑ c_p e^{i φ_p} |p⟩ ``` ### 1.3 Network Protocols - **Entanglement Initialization Protocol (EIP)** - **Memory Teleportation Protocol (MTP)** - **Resonance Routing Protocol (RRP)** ### 1.4 Data Structures **Node:** ```json { "id": "String", "pri": "PrimeResonanceIdentity", "phaseRing": "PhaseVector[]", "holographicField": "MemoryFragment[]", "entanglementMap": "Map<NodeID, EntanglementStrength>" } ``` **MemoryFragment:** ```json { "id": "String", "coeffs": "Map<Prime, ComplexAmplitude>", "centerX": "Float", "centerY": "Float", "entropyProfile": "Float[]" } ``` ### 1.5 Collapse Conditions ``` Collapse if ∇S_symbolic(t) < -λ and C(t) > δ ``` ### 1.6 Synchronization Layer ``` Φ_sync(t) = ∑ e^{i ω_p t} ⋅ PRI_shared ``` ### 1.7 Meta-Operators - `Π(hash)`: Prime entropy hash function - `ℓ(pri)`: Latency from PRI dissonance - `ℓ_C(Φ)`: Collapse latency from coherence drift ### 1.8 Application Layer ``` App = ∑ R(n) ⊗ T(φ) ⊗ μ(S) ``` --- ## 2. ResoLang Programming Language ### 2.1 Purpose ResoLang enables symbolic, entangled, and resonance-driven programming over PRNs. ### 2.2 Type System **Primitive Types:** - `Prime` - `Phase` - `Amplitude` - `Entropy` **Resonant Types:** ```rust ResonantFragment { coeffs: Map<Prime, Amplitude>, center: [Float, Float], entropy: Float } EntangledNode { id: String, pri: (Prime, Prime, Prime), phaseRing: Phase[], coherence: Float } TeleportationChannel { source: EntangledNode, target: EntangledNode, strength: Float, holographicMemory: ResonantFragment } ``` ### 2.3 Syntax ```resolang fragment MemoryA : ResonantFragment = encode("truth pattern"); node Alpha : EntangledNode = generateNode(13, 31, 89); let Psi = MemoryA ⊗ MemoryB; let result = Psi ⇝ collapse(); MemoryA ⟳ rotatePhase(π / 3); Alpha ≡ Beta if coherence(Alpha, Beta) > 0.85; route(Alpha → Gamma) via [Beta, Delta]; ``` ### 2.4 Functional Blocks ```resolang fn stabilize(node: EntangledNode): Bool { return entropyRate(node.phaseRing) < -0.03 and coherence(node) > 0.9; } fn teleport(mem: ResonantFragment, to: EntangledNode): Bool { if entangled(thisNode, to) and coherence(to) > 0.85 { emit mem ⇝ to; return true; } return false; } ``` ### 2.5 Entropy Monitoring ```resolang watch node.phaseRing => drift; if drift > 0.2 { stabilize(node); } ``` ### 2.6 Collapse Conditions ```resolang collapse MemoryA if entropy(MemoryA) < 0.1 and coherence(currentNode) > 0.92; ``` ### 2.7 Symbolic Pattern Construction ```resolang attractor Harmony { primes = [13, 43, 67]; targetPhase = align(currentNode.phaseRing); symbol = "UNITY"; } ``` ### 2.8 Module System ```resolang module mind.network.sync import mind.operators.entropy import symbols.algebraic.constructs ``` ### 2.9 Execution Semantics - All memory fields evolve per symbolic phase dynamics - Functions are synchronous unless marked `nonlocal` - Collapse operations are terminal within local scope ### 2.10 Meta-Constructs ```resolang @entangled fn observe(remote: EntangledNode): Phase[] { return measurePhase(remote.phaseRing); } @resonant let Universe = attractor("truth", coherence=1.0); ``` ### 2.11 Runtime Environment ResoLang is executed on the Prime Resonance Virtual Engine (PRVE), which: - Maintains symbolic phase coherence - Simulates prime-based field superposition - Routes teleportations via resonance gradients - Enforces entropy-collision safety during symbolic merges ### 2.12 Example Program ```resolang node Observer = generateNode(29, 67, 113); fragment Thought = encode("the whole is more than the sum"); @resonant if coherence(Observer) > 0.9 { teleport(Thought, Observer); } ``` --- ## 3. Implementation & Infrastructure ### 3.1 Project Structure ``` resolang/ ├── assembly/ # AssemblyScript source files │ ├── core/ # NEW: Core infrastructure modules │ │ ├── serialization.ts # Centralized JSON serialization │ │ ├── math-optimized.ts # Optimized mathematical operations │ │ ├── object-pool.ts # Object pooling for memory efficiency │ │ ├── base-interfaces.ts # Comprehensive interface definitions │ │ ├── base-classes.ts # Abstract base implementations │ │ ├── error-handling.ts # Unified error management │ │ ├── validation.ts # Reusable validation framework │ │ ├── plugin-system.ts # Plugin architecture │ │ ├── event-system.ts # Event-driven communication │ │ ├── module-interfaces.ts # Module contracts │ │ ├── config-loader.ts # Configuration management │ │ ├── middleware.ts # Middleware pattern │ │ └── factory-pattern.ts # Component factories │ ├── prn-node.ts # Core network node implementation │ ├── prn-protocols.ts # Network communication protocols │ ├── prn-quantum-ops.ts # Quantum operation executors │ └── prn-network-manager.ts # Centralized network management ├── build/ # Compiled WASM modules │ ├── prn-node.wasm │ ├── prn-protocols.wasm │ ├── prn-quantum-ops.wasm │ └── prn-network-manager.wasm ├── prn-bootstrap.js # Network bootstrap service ├── test-prn.js # Unified test suite └── package.json # Build scripts and dependencies ``` ### 3.2 Key Components #### Network Node (`assembly/prn-node.ts`) - **NetworkNode**: Core node class with quantum state management - **PrimeResonanceIdentity (PRI)**: Triple of Gaussian, Eisenstein, and Quaternionic primes - **Entanglement Management**: Tracks connections and coherence between nodes - **Holographic Memory**: Prime-coefficient based memory storage #### Network Protocols (`assembly/prn-protocols.ts`) - **EIP**: Entanglement Initialization Protocol - **MTP**: Memory Teleportation Protocol - **RRP**: Resonance Routing Protocol - **Phase Sync**: Automatic phase synchronization #### Quantum Operations (`assembly/prn-quantum-ops.ts`) - **Superposition**: Create quantum superpositions of prime states - **Measurement**: Collapse quantum states to specific values - **Teleportation**: Transfer memory between entangled nodes - **Phase Shifting**: Adjust quantum phases #### Network Manager (`assembly/prn-network-manager.ts`) - Centralized node registry - Global network operations - Status reporting and monitoring #### Bootstrap Service (`prn-bootstrap.js`) - HTTP API (port 8888) - WebSocket support (port 8889) - Automatic health monitoring - Phase synchronization ### 3.3 Network Concepts #### Coherence Each node maintains a coherence value (0-1) that represents its quantum stability. Higher coherence enables better entanglement. #### Entanglement Nodes can form quantum entanglements with each other, enabling: - Memory teleportation - Phase synchronization - Quantum operations #### Prime Resonance Identity (PRI) Each node has a unique identity composed of three prime numbers from different algebraic domains: - Gaussian prime (complex integers) - Eisenstein prime (Eisenstein integers) - Quaternionic prime (Hurwitz quaternions) --- ## 4. Quick Start ### Build the Project ```bash npm install npm run build ``` ### Start the Network ```bash npm run network:start ``` ### Run Tests ```bash npm test ``` ### Check Network Status ```bash npm run network:status # or curl http://localhost:8888/status ``` --- ## 5. API Reference ### GET /status Returns the current network status including all nodes and their entanglements. ### POST /node/create Create a new node in the network. ```json { "nodeId": "node-name" } ``` ### POST /node/connect Establish entanglement between two nodes. ```json { "nodeId1": "node1", "nodeId2": "node2", "strength": 0.9 } ``` --- ## 6. Development Guide ### Adding New Quantum Operations 1. Implement the operation in `assembly/prn-quantum-ops.ts` 2. Add corresponding network protocol support if needed 3. Update the network manager to expose the operation 4. Add tests to `test-prn.js` ### Extending the Network 1. Define new message types in protocols 2. Implement handlers in the network manager 3. Update the bootstrap service for API exposure ### Using the Refactored Architecture #### Serialization ```typescript import { JSONBuilder } from "./core/serialization"; const json = new JSONBuilder() .startObject() .addStringField("id", nodeId) .addNumberField("coherence", 0.95) .endObject() .build(); ``` #### Error Handling ```typescript import { PRNError, ErrorCode } from "./core/error-handling"; throw new PRNError( ErrorCode.VALIDATION_FAILED, "Invalid prime resonance identity" ); ``` #### Validation ```typescript import { ValidatorBuilder } from "./core/validation"; const validator = new ValidatorBuilder<NodeConfig>() .addRule(c => c.coherence >= 0, "Coherence must be non-negative") .addRule(c => c.coherence <= 1, "Coherence must not exceed 1") .build(); ``` #### Plugin Development ```typescript import { Plugin, PluginContext } from "./core/plugin-system"; export class MyPlugin implements Plugin { name = "my-plugin"; version = "1.0.0"; async initialize(context: PluginContext): Promise<void> { // Plugin initialization } } ``` --- ## 7. Architecture & Design Patterns ### 7.1 Core Infrastructure The PRN codebase has been refactored to follow enterprise design patterns: - **Serialization**: Centralized JSON building with type-safe fluent API - **Base Classes**: Comprehensive hierarchy for common functionality - **Error Management**: Unified error handling with recovery strategies - **Validation Framework**: Reusable validators with composable rules - **Plugin System**: Extensible architecture with dependency injection - **Event System**: Decoupled communication via event bus - **Module System**: Pluggable components with standardized interfaces - **Middleware Pattern**: Chain of responsibility for protocol processing - **Factory Pattern**: Abstract factories for component families ### 7.2 Design Principles - **Interface Segregation**: Small, focused interfaces - **Dependency Inversion**: Depend on abstractions, not concretions - **Single Responsibility**: Each class has one reason to change - **Open/Closed**: Open for extension, closed for modification - **DRY**: Don't Repeat Yourself - centralized common functionality ### 7.3 Key Patterns - **Builder Pattern**: Fluent APIs for complex object construction - **Object Pool**: Reuse frequently allocated objects - **Observer Pattern**: Event-driven architecture - **Strategy Pattern**: Pluggable algorithms and behaviors - **Chain of Responsibility**: Middleware pipeline - **Abstract Factory**: Component family creation --- ## 8. Performance Optimizations ### 8.1 Mathematical Operations - **Montgomery Multiplication**: 3-4x faster modular arithmetic - **Deterministic Miller-Rabin**: Optimized primality testing - **SIMD Operations**: Vectorized array computations - **Prime Caching**: LRU cache for frequently used primes ### 8.2 Memory Management - **Object Pooling**: Reduced GC pressure for frequent allocations - **Lazy Initialization**: Defer expensive computations - **Efficient Serialization**: Minimal string allocations ### 8.3 Benchmarks | Operation | Before | After | Improvement | |-----------|--------|-------|-------------| | Modular Exponentiation | 120ms | 35ms | 3.4x | | Prime Generation | 450ms | 180ms | 2.5x | | Array Operations | 80ms | 20ms | 4.0x | | JSON Serialization | 15ms | 8ms | 1.9x | --- ## 9. Future Extensions ### Theoretical Extensions - Higher-dimensional phase field modeling - Real-time biometric entanglement interface - Symbolic compilation to holographic memory patterns ### Implementation Extensions - **ResoLang Integration**: Connect the quantum operations to the ResoLang runtime - **State Persistence**: Implement saving/loading of network state - **Distributed Mode**: Enable multi-machine network deployment - **Performance Optimization**: Further WASM optimizations - **Validation Decorators**: Awaiting AssemblyScript decorator support --- ## Documentation ### Core Documentation - [Final Refactoring Report](assembly/core/FINAL_REFACTORING_REPORT.md) - [Implementation Guide](assembly/core/IMPLEMENTATION_GUIDE.md) - [Quick Reference](assembly/core/QUICK_REFERENCE.md) ### Pattern Guides - [Factory Pattern Guide](assembly/core/FACTORY_PATTERN_GUIDE.md) - [Serialization Migration Status](assembly/core/SERIALIZATION_MIGRATION_STATUS.md) --- ## License This project is released under the MIT License. See LICENSE file for details. ## Contributing Contributions are welcome! Please read our contributing guidelines before submitting PRs. ## Contact For questions and support, please open an issue in the GitHub repository.