/** * MCP Tools for Temporal Lead Solver * Provides temporal computational lead calculations through MCP */ import { TemporalPredictor } from 'temporal-lead-solver'; export class TemporalTools { predictor; constructor() { this.predictor = new TemporalPredictor(1e-6, 1000); } /** * Get all temporal lead tools */ getTools() { return [ { name: 'predictWithTemporalAdvantage', description: 'Predict solution with temporal computational lead - solve before data arrives', inputSchema: { type: 'object', properties: { matrix: { type: 'object', properties: { rows: { type: 'number', description: 'Number of rows' }, cols: { type: 'number', description: 'Number of columns' }, data: { oneOf: [ { type: 'array', items: { type: 'array', items: { type: 'number' } }, description: 'Dense matrix format' }, { type: 'object', properties: { values: { type: 'array', items: { type: 'number' } }, rowIndices: { type: 'array', items: { type: 'number' } }, colIndices: { type: 'array', items: { type: 'number' } } }, description: 'COO sparse format' } ] } }, required: ['rows', 'cols', 'data'], description: 'Input matrix (must be diagonally dominant)' }, vector: { type: 'array', items: { type: 'number' }, description: 'Right-hand side vector b' }, distanceKm: { type: 'number', description: 'Distance in kilometers for temporal advantage calculation', default: 10900 } }, required: ['matrix', 'vector'] } }, { name: 'validateTemporalAdvantage', description: 'Validate temporal computational lead for a given problem size', inputSchema: { type: 'object', properties: { size: { type: 'number', description: 'Matrix size to test', default: 1000, minimum: 10, maximum: 100000 }, distanceKm: { type: 'number', description: 'Distance in kilometers (default: Tokyo to NYC)', default: 10900 } } } }, { name: 'calculateLightTravel', description: 'Calculate light travel time vs computation time', inputSchema: { type: 'object', properties: { distanceKm: { type: 'number', description: 'Distance in kilometers', minimum: 0 }, matrixSize: { type: 'number', description: 'Size of the problem', default: 1000 } }, required: ['distanceKm'] } }, { name: 'demonstrateTemporalLead', description: 'Demonstrate temporal lead for various scenarios', inputSchema: { type: 'object', properties: { scenario: { type: 'string', enum: ['trading', 'satellite', 'network', 'custom'], description: 'Scenario to demonstrate', default: 'trading' }, customDistance: { type: 'number', description: 'Custom distance in km (for custom scenario)' } } } } ]; } /** * Handle tool calls */ async handleToolCall(name, args) { switch (name) { case 'predictWithTemporalAdvantage': return this.predictWithTemporalAdvantage(args); case 'validateTemporalAdvantage': return this.validateTemporalAdvantage(args); case 'calculateLightTravel': return this.calculateLightTravel(args); case 'demonstrateTemporalLead': return this.demonstrateTemporalLead(args); default: throw new Error(`Unknown temporal tool: ${name}`); } } /** * Predict with temporal advantage */ async predictWithTemporalAdvantage(args) { const { matrix, vector, distanceKm = 10900 } = args; // Convert matrix to dense format if needed const denseMatrix = this.convertToDenseMatrix(matrix); // Calculate temporal advantage const result = this.predictor.predictWithTemporalAdvantage(denseMatrix, vector, distanceKm); return { solution: result.solution, computeTimeMs: result.computeTimeMs, lightTravelTimeMs: result.lightTravelTimeMs, temporalAdvantageMs: result.temporalAdvantageMs, effectiveVelocity: `${result.effectiveVelocityRatio.toFixed(0)}× speed of light`, queryCount: result.queryCount, sublinear: result.queryCount < vector.length / 2, summary: `Computed solution ${result.temporalAdvantageMs.toFixed(1)}ms before light could travel ${distanceKm}km` }; } /** * Validate temporal advantage */ async validateTemporalAdvantage(args) { const { size = 1000, distanceKm = 10900 } = args; const validation = this.predictor.validateTemporalAdvantage(size); return { ...validation, interpretation: this.interpretResults(validation) }; } /** * Calculate light travel comparison */ async calculateLightTravel(args) { const { distanceKm, matrixSize = 1000 } = args; const SPEED_OF_LIGHT_MPS = 299792458; const lightTravelTimeMs = (distanceKm * 1000) / (SPEED_OF_LIGHT_MPS / 1000); // Estimate computation time based on matrix size const estimatedComputeTime = Math.log2(matrixSize) * 0.1; // Sublinear estimate return { distance: { km: distanceKm, miles: distanceKm * 0.621371 }, lightTravelTime: { ms: lightTravelTimeMs, seconds: lightTravelTimeMs / 1000 }, estimatedComputeTime: { ms: estimatedComputeTime, seconds: estimatedComputeTime / 1000 }, temporalAdvantage: { ms: lightTravelTimeMs - estimatedComputeTime, ratio: lightTravelTimeMs / estimatedComputeTime }, feasible: estimatedComputeTime < lightTravelTimeMs, summary: `Light takes ${lightTravelTimeMs.toFixed(1)}ms, computation takes ${estimatedComputeTime.toFixed(3)}ms` }; } /** * Demonstrate temporal lead scenarios */ async demonstrateTemporalLead(args) { const { scenario = 'trading', customDistance } = args; const scenarios = { trading: { name: 'High-Frequency Trading', route: 'Tokyo → New York', distanceKm: 10900, context: 'Financial markets arbitrage' }, satellite: { name: 'Satellite Communication', route: 'Ground → GEO Satellite', distanceKm: 35786, context: 'Geostationary orbit communication' }, network: { name: 'Global Network Routing', route: 'London → Sydney', distanceKm: 16983, context: 'Internet backbone optimization' }, custom: { name: 'Custom Scenario', route: 'Point A → Point B', distanceKm: customDistance || 1000, context: 'User-defined distance' } }; const selected = scenarios[scenario]; // Generate test problem const size = 1000; const matrix = []; const vector = new Array(size).fill(1); for (let i = 0; i < size; i++) { matrix[i] = new Array(size).fill(0); matrix[i][i] = 4; if (i > 0) matrix[i][i - 1] = -1; if (i < size - 1) matrix[i][i + 1] = -1; } const result = this.predictor.predictWithTemporalAdvantage(matrix, vector, selected.distanceKm); return { scenario: selected.name, route: selected.route, context: selected.context, distance: `${selected.distanceKm} km`, lightTravelTime: `${result.lightTravelTimeMs.toFixed(1)} ms`, computationTime: `${result.computeTimeMs.toFixed(3)} ms`, temporalAdvantage: `${result.temporalAdvantageMs.toFixed(1)} ms`, effectiveVelocity: `${result.effectiveVelocityRatio.toFixed(0)}× speed of light`, queryComplexity: `O(√n) = ${result.queryCount} queries for n=${size}`, practicalApplication: this.getPracticalApplication(scenario, result.temporalAdvantageMs), scientificValidity: 'Based on sublinear-time algorithms (Kwok-Wei-Yang 2025)', disclaimer: 'This is computational lead via prediction, not faster-than-light communication' }; } /** * Convert matrix to dense format */ convertToDenseMatrix(matrix) { const { rows, cols, data } = matrix; if (Array.isArray(data)) { // Already dense return data; } // Convert from sparse (COO) to dense const dense = []; for (let i = 0; i < rows; i++) { dense[i] = new Array(cols).fill(0); } if (data.values && data.rowIndices && data.colIndices) { for (let k = 0; k < data.values.length; k++) { dense[data.rowIndices[k]][data.colIndices[k]] = data.values[k]; } } return dense; } /** * Interpret validation results */ interpretResults(validation) { if (validation.valid) { return `✅ Temporal advantage confirmed: ${validation.temporalAdvantageMs}ms lead achieved with ${validation.effectiveVelocity}`; } else { return `❌ No temporal advantage: computation time exceeds light travel time`; } } /** * Get practical application description */ getPracticalApplication(scenario, advantageMs) { const applications = { trading: `Execute trades ${advantageMs.toFixed(0)}ms before competitors receive market data`, satellite: `Process satellite commands before signals reach orbit`, network: `Route packets optimally before congestion information arrives`, custom: `Complete computation ${advantageMs.toFixed(0)}ms before traditional methods` }; return applications[scenario] || applications.custom; } }