/** * VERIFICATION & VALIDATION SYSTEM * * Proves the metaverse simulation is correct by comparing against: * - JPL Horizons ephemerides (real astronomical positions) * - Physics benchmarks (energy conservation, orbital mechanics) * - WGS84 geodesy (Earth coordinates) * - Known celestial events (eclipses, conjunctions, transits) * * Philosophy: "TRUTH IS MEASURABLE. WE VERIFY AGAINST REALITY." */ import * as THREE from 'three'; // ===== ASTRONOMICAL CONSTANTS (J2000.0 Epoch) ===== export const ASTRO_CONSTANTS = { // Gravitational parameter (km³/s²) GM_SUN: 1.32712440018e11, GM_EARTH: 3.986004418e5, GM_MOON: 4.9028e3, // Astronomical Unit (km) AU: 149597870.7, // Light speed (km/s) C: 299792.458, // J2000.0 epoch J2000: 2451545.0, // Julian Date // Earth rotation EARTH_SIDEREAL_DAY: 86164.0905, // seconds EARTH_AXIAL_TILT: 23.4397, // degrees // Orbital elements (simplified, mean values for verification) EARTH_ORBIT: { a: 1.00000011, // AU e: 0.01671022, i: 0.00005, // degrees period: 365.256363004 // days }, MOON_ORBIT: { a: 384400, // km e: 0.0549, i: 5.145, // degrees to ecliptic period: 27.321661 // days } }; // ===== KNOWN CELESTIAL EVENTS FOR VALIDATION ===== export const KNOWN_EVENTS = { // Solar eclipses solar_eclipse_2024: { date: new Date('2024-04-08T18:17:00Z'), type: 'total_solar_eclipse', location: { lat: 29.9, lon: -99.8 }, // Texas duration: 268, // seconds of totality tolerance: 60 // seconds }, // Lunar eclipses lunar_eclipse_2025: { date: new Date('2025-03-14T06:59:00Z'), type: 'total_lunar_eclipse', magnitude: 1.178, tolerance: 0.01 }, // Planetary conjunctions jupiter_saturn_2020: { date: new Date('2020-12-21T18:20:00Z'), type: 'great_conjunction', separation: 0.1, // degrees tolerance: 0.05 }, // Equinoxes & Solstices spring_equinox_2025: { date: new Date('2025-03-20T09:01:00Z'), type: 'vernal_equinox', tolerance: 60 * 60 // 1 hour }, summer_solstice_2025: { date: new Date('2025-06-20T22:42:00Z'), type: 'summer_solstice', tolerance: 60 * 60 } }; // ===== WGS84 REFERENCE POINTS ===== export const WGS84_LANDMARKS = { greenwich: { name: 'Greenwich Observatory', lat: 51.4769, lon: -0.0005, elevation: 46 }, north_pole: { name: 'Geographic North Pole', lat: 90.0, lon: 0.0, elevation: 0 }, equator_null_island: { name: 'Null Island (0°N 0°E)', lat: 0.0, lon: 0.0, elevation: 0 }, mount_everest: { name: 'Mount Everest Summit', lat: 27.9881, lon: 86.9250, elevation: 8848.86 } }; // ===== PHYSICS BENCHMARKS ===== export const PHYSICS_BENCHMARKS = { // Two-body problem (Earth-Moon system) earth_moon_2body: { description: 'Earth-Moon barycentric orbit', initial_conditions: { earth_pos: [0, 0, 0], moon_pos: [384400, 0, 0], // km moon_vel: [0, 1.022, 0] // km/s }, expected: { period: 27.321661, // days tolerance: 0.01 } }, // Energy conservation test energy_conservation: { description: 'Total energy should remain constant', tolerance: 1e-6 // relative error }, // Angular momentum conservation angular_momentum: { description: 'Angular momentum should remain constant', tolerance: 1e-8 }, // Kepler's 3rd law keplers_third_law: { description: 'T² ∝ a³ for all planets', tolerance: 0.001 } }; // ===== VERIFICATION MANAGER ===== export class VerificationManager { constructor() { this.testResults = []; this.passed = 0; this.failed = 0; this.warnings = 0; } // ===== ASTRONOMICAL VERIFICATION ===== /** * Verify celestial body position against JPL Horizons data */ verifyPosition(bodyName, simulated, reference, timestamp) { const test = { name: `Position: ${bodyName} at ${timestamp}`, type: 'position', timestamp }; // Calculate position error const error = { x: Math.abs(simulated.x - reference.x), y: Math.abs(simulated.y - reference.y), z: Math.abs(simulated.z - reference.z) }; const totalError = Math.sqrt( error.x * error.x + error.y * error.y + error.z * error.z ); // Tolerance: 1000 km for planets, 10 km for moon const tolerance = bodyName === 'moon' ? 10 : 1000; test.passed = totalError < tolerance; test.error = totalError; test.tolerance = tolerance; test.details = { simulated, reference, error }; this.recordTest(test); return test; } /** * Verify celestial event timing */ verifyCelestialEvent(eventId, simulatedTime) { const event = KNOWN_EVENTS[eventId]; if (!event) { console.error(`Unknown event: ${eventId}`); return null; } const test = { name: `Event: ${event.type}`, type: 'event', eventId }; const expectedTime = event.date.getTime(); const actualTime = simulatedTime.getTime(); const error = Math.abs(actualTime - expectedTime) / 1000; // seconds test.passed = error < event.tolerance; test.error = error; test.tolerance = event.tolerance; test.details = { expected: event.date, simulated: simulatedTime, errorSeconds: error }; this.recordTest(test); return test; } /** * Verify orbital period */ verifyOrbitalPeriod(bodyName, simulatedPeriod, referencePeriod, tolerance = 0.01) { const test = { name: `Orbital Period: ${bodyName}`, type: 'orbital_period' }; const error = Math.abs(simulatedPeriod - referencePeriod) / referencePeriod; test.passed = error < tolerance; test.error = error; test.tolerance = tolerance; test.details = { simulated: simulatedPeriod, reference: referencePeriod, relativeError: error }; this.recordTest(test); return test; } // ===== PHYSICS VERIFICATION ===== /** * Verify energy conservation in N-body system */ verifyEnergyConservation(initialEnergy, currentEnergy, tolerance = 1e-6) { const test = { name: 'Energy Conservation', type: 'physics' }; const relativeChange = Math.abs(currentEnergy - initialEnergy) / Math.abs(initialEnergy); test.passed = relativeChange < tolerance; test.error = relativeChange; test.tolerance = tolerance; test.details = { initial: initialEnergy, current: currentEnergy, change: relativeChange }; this.recordTest(test); return test; } /** * Verify angular momentum conservation */ verifyAngularMomentum(initialL, currentL, tolerance = 1e-8) { const test = { name: 'Angular Momentum Conservation', type: 'physics' }; const change = { x: Math.abs(currentL.x - initialL.x), y: Math.abs(currentL.y - initialL.y), z: Math.abs(currentL.z - initialL.z) }; const totalChange = Math.sqrt( change.x * change.x + change.y * change.y + change.z * change.z ); const initialMagnitude = Math.sqrt( initialL.x * initialL.x + initialL.y * initialL.y + initialL.z * initialL.z ); const relativeChange = totalChange / initialMagnitude; test.passed = relativeChange < tolerance; test.error = relativeChange; test.tolerance = tolerance; test.details = { initial: initialL, current: currentL, change: relativeChange }; this.recordTest(test); return test; } /** * Verify Kepler's 3rd Law: T² ∝ a³ */ verifyKeplersThirdLaw(bodies) { const test = { name: "Kepler's 3rd Law", type: 'physics' }; let maxError = 0; bodies.forEach(body => { const expected = Math.pow(body.period, 2) / Math.pow(body.semiMajorAxis, 3); // For Sun-centered orbits, this should equal 4π²/GM☉ const theoretical = (4 * Math.PI * Math.PI) / ASTRO_CONSTANTS.GM_SUN; const error = Math.abs(expected - theoretical) / theoretical; maxError = Math.max(maxError, error); }); test.passed = maxError < 0.001; test.error = maxError; test.tolerance = 0.001; this.recordTest(test); return test; } // ===== GEODESY VERIFICATION ===== /** * Verify WGS84 coordinate transformation */ verifyWGS84Transform(landmark, simulatedXYZ) { const ref = WGS84_LANDMARKS[landmark]; if (!ref) { console.error(`Unknown landmark: ${landmark}`); return null; } const test = { name: `WGS84: ${ref.name}`, type: 'geodesy' }; // Convert lat/lon/elevation to ECEF (Earth-Centered Earth-Fixed) const expectedXYZ = this.latLonToECEF(ref.lat, ref.lon, ref.elevation); const error = { x: Math.abs(simulatedXYZ.x - expectedXYZ.x), y: Math.abs(simulatedXYZ.y - expectedXYZ.y), z: Math.abs(simulatedXYZ.z - expectedXYZ.z) }; const totalError = Math.sqrt( error.x * error.x + error.y * error.y + error.z * error.z ); // Tolerance: 10 meters const tolerance = 0.01; // km test.passed = totalError < tolerance; test.error = totalError; test.tolerance = tolerance; test.details = { landmark: ref, simulated: simulatedXYZ, expected: expectedXYZ, errorKm: totalError }; this.recordTest(test); return test; } latLonToECEF(lat, lon, elevation) { // WGS84 parameters const a = 6378.137; // equatorial radius (km) const f = 1 / 298.257223563; // flattening const b = a * (1 - f); // polar radius const e2 = 1 - (b * b) / (a * a); // eccentricity squared const latRad = lat * Math.PI / 180; const lonRad = lon * Math.PI / 180; const h = elevation / 1000; // meters to km const N = a / Math.sqrt(1 - e2 * Math.sin(latRad) * Math.sin(latRad)); return { x: (N + h) * Math.cos(latRad) * Math.cos(lonRad), y: (N + h) * Math.cos(latRad) * Math.sin(lonRad), z: (N * (1 - e2) + h) * Math.sin(latRad) }; } // ===== TEST RECORDING & REPORTING ===== recordTest(test) { this.testResults.push(test); if (test.passed) { this.passed++; } else { this.failed++; } // Log result const status = test.passed ? '✅' : '❌'; console.log(`${status} ${test.name}: Error = ${test.error.toExponential(3)}, Tolerance = ${test.tolerance.toExponential(3)}`); } generateReport() { const total = this.testResults.length; const passRate = (this.passed / total * 100).toFixed(1); const report = { summary: { total, passed: this.passed, failed: this.failed, warnings: this.warnings, passRate: `${passRate}%` }, tests: this.testResults, timestamp: new Date().toISOString() }; console.log('\n📊 VERIFICATION REPORT'); console.log('======================'); console.log(`Total Tests: ${total}`); console.log(`Passed: ${this.passed} ✅`); console.log(`Failed: ${this.failed} ❌`); console.log(`Pass Rate: ${passRate}%`); console.log('======================\n'); return report; } exportReport() { const report = this.generateReport(); const json = JSON.stringify(report, null, 2); return json; } reset() { this.testResults = []; this.passed = 0; this.failed = 0; this.warnings = 0; } } // ===== JPL HORIZONS API INTERFACE ===== export class HorizonsAPI { /** * Fetch position data from JPL Horizons * (In production, this would make actual API calls) */ async fetchPosition(bodyId, timestamp) { // Mock data for demonstration // In production, would call: https://ssd.jpl.nasa.gov/api/horizons.api console.log(`[MOCK] Fetching JPL Horizons data for body ${bodyId} at ${timestamp}`); // Return mock ephemeris data return { body: bodyId, timestamp, position: { x: 0, // km y: 0, z: 0 }, velocity: { x: 0, y: 0, z: 0 }, source: 'JPL_HORIZONS_MOCK' }; } async fetchEphemeris(bodyId, startDate, endDate, stepSize = '1d') { console.log(`[MOCK] Fetching ephemeris for ${bodyId} from ${startDate} to ${endDate}`); return { body: bodyId, start: startDate, end: endDate, step: stepSize, data: [], source: 'JPL_HORIZONS_MOCK' }; } } // ===== AUTOMATED TEST SUITE ===== export class AutomatedTestSuite { constructor(simulator) { this.simulator = simulator; this.verifier = new VerificationManager(); this.horizons = new HorizonsAPI(); } async runAllTests() { console.log('🧪 Running automated verification tests...\n'); // Physics tests await this.testEnergyConservation(); await this.testAngularMomentumConservation(); await this.testKeplersThirdLaw(); // Astronomical tests await this.testEarthPosition(); await this.testMoonPosition(); await this.testOrbitalPeriods(); // Geodesy tests await this.testWGS84Landmarks(); // Event prediction tests await this.testEventPredictions(); // Generate report return this.verifier.generateReport(); } async testEnergyConservation() { console.log('Testing energy conservation...'); const initialEnergy = this.simulator.calculateTotalEnergy(); // Run simulation for 1 orbit this.simulator.step(365.25); // days const finalEnergy = this.simulator.calculateTotalEnergy(); this.verifier.verifyEnergyConservation(initialEnergy, finalEnergy); } async testAngularMomentumConservation() { console.log('Testing angular momentum conservation...'); const initialL = this.simulator.calculateAngularMomentum(); this.simulator.step(365.25); const finalL = this.simulator.calculateAngularMomentum(); this.verifier.verifyAngularMomentum(initialL, finalL); } async testKeplersThirdLaw() { console.log("Testing Kepler's 3rd Law..."); const bodies = this.simulator.getBodies(); this.verifier.verifyKeplersThirdLaw(bodies); } async testEarthPosition() { console.log('Testing Earth position against JPL data...'); const timestamp = new Date(); const simulated = this.simulator.getPosition('earth'); const reference = await this.horizons.fetchPosition('earth', timestamp); this.verifier.verifyPosition('earth', simulated, reference.position, timestamp); } async testMoonPosition() { console.log('Testing Moon position...'); const timestamp = new Date(); const simulated = this.simulator.getPosition('moon'); const reference = await this.horizons.fetchPosition('moon', timestamp); this.verifier.verifyPosition('moon', simulated, reference.position, timestamp); } async testOrbitalPeriods() { console.log('Testing orbital periods...'); const earthPeriod = this.simulator.measureOrbitalPeriod('earth'); this.verifier.verifyOrbitalPeriod('earth', earthPeriod, 365.256363004); const moonPeriod = this.simulator.measureOrbitalPeriod('moon'); this.verifier.verifyOrbitalPeriod('moon', moonPeriod, 27.321661); } async testWGS84Landmarks() { console.log('Testing WGS84 coordinate transformations...'); ['greenwich', 'north_pole', 'equator_null_island', 'mount_everest'].forEach(landmark => { const simulated = this.simulator.getLandmarkPosition(landmark); this.verifier.verifyWGS84Transform(landmark, simulated); }); } async testEventPredictions() { console.log('Testing celestial event predictions...'); // Would test eclipse predictions, conjunctions, etc. // const predictedEclipse = this.simulator.predictNextEclipse(); // this.verifier.verifyCelestialEvent('solar_eclipse_2024', predictedEclipse.time); } } export default { VerificationManager, HorizonsAPI, AutomatedTestSuite, ASTRO_CONSTANTS, KNOWN_EVENTS, WGS84_LANDMARKS, PHYSICS_BENCHMARKS };