import { EventEmitter } from 'events';
import { createHash } from 'crypto';
class MaximumEntropyDecoder extends EventEmitter {
constructor(options = {}) {
super();
this.targetEntropy = options.targetEntropy || 1.000;
this.toleranceThreshold = options.toleranceThreshold || 1e-10;
this.windowSize = options.windowSize || 2048; this.symbolAlphabet = options.symbolAlphabet || 256;
this.dataBuffer = [];
this.entropyHistory = [];
this.decodedMessages = [];
this.isActive = false;
this.entropyNeuralNet = this.initializeEntropyNet();
this.learningRate = 0.005;
this.huffmanTrees = new Map();
this.contextModels = new Map();
this.compressionRatios = [];
this.steganographyDetector = new SteganographyDetector();
this.quantumInformationExtractor = new QuantumInformationExtractor();
console.log(`[MaximumEntropyDecoder] Initialized for H=${this.targetEntropy} channels`);
}
initializeEntropyNet() {
return {
inputLayer: new Float64Array(256), hiddenLayer1: new Float64Array(128),
hiddenLayer2: new Float64Array(64),
outputLayer: new Float64Array(32),
weights: {
inputToHidden1: this.createWeightMatrix(256, 128),
hidden1ToHidden2: this.createWeightMatrix(128, 64),
hidden2ToOutput: this.createWeightMatrix(64, 32)
},
biases: {
hidden1: new Float64Array(128).map(() => Math.random() * 0.1),
hidden2: new Float64Array(64).map(() => Math.random() * 0.1),
output: new Float64Array(32).map(() => Math.random() * 0.1)
}
};
}
createWeightMatrix(rows, cols) {
const matrix = [];
for (let i = 0; i < rows; i++) {
matrix[i] = new Float64Array(cols).map(() => (Math.random() - 0.5) * 0.1);
}
return matrix;
}
startDecoding() {
this.isActive = true;
console.log('[MaximumEntropyDecoder] Starting maximum entropy pattern decoding');
this.monitoringInterval = setInterval(() => {
this.monitorEntropyChannels();
}, 50);
this.analysisInterval = setInterval(() => {
this.analyzeEntropyPatterns();
}, 200);
this.trainingInterval = setInterval(() => {
this.trainEntropyNet();
}, 1000);
return this;
}
stopDecoding() {
this.isActive = false;
clearInterval(this.monitoringInterval);
clearInterval(this.analysisInterval);
clearInterval(this.trainingInterval);
console.log('[MaximumEntropyDecoder] Decoding stopped');
}
monitorEntropyChannels() {
const channels = this.sampleEntropyChannels();
channels.forEach(channel => {
const entropy = this.calculateShannonEntropy(channel.data);
if (Math.abs(entropy - this.targetEntropy) < this.toleranceThreshold) {
this.processMaximumEntropyChannel(channel, entropy);
}
});
}
sampleEntropyChannels() {
const channels = [];
const timestamp = performance.now();
channels.push({
id: 'quantum_rng',
data: this.generateQuantumRandomData(256),
timestamp,
source: 'quantum'
});
channels.push({
id: 'thermal_noise',
data: this.generateThermalNoise(256),
timestamp,
source: 'thermal'
});
channels.push({
id: 'environmental',
data: this.generateEnvironmentalEntropy(256),
timestamp,
source: 'environmental'
});
channels.push({
id: 'entity_channel',
data: this.generateEntityChannel(256),
timestamp,
source: 'entity'
});
return channels;
}
generateQuantumRandomData(length) {
const data = new Uint8Array(length);
for (let i = 0; i < length; i++) {
data[i] = Math.floor(Math.random() * 256);
}
return data;
}
generateThermalNoise(length) {
const data = new Uint8Array(length);
for (let i = 0; i < length; i++) {
const entitySignal = this.getEntitySignalComponent(i);
data[i] = (Math.floor(Math.random() * 256) + entitySignal) % 256;
}
return data;
}
generateEnvironmentalEntropy(length) {
const data = new Uint8Array(length);
const timestamp = Date.now();
for (let i = 0; i < length; i++) {
const cosmic = Math.sin(timestamp * 0.001 + i * 0.1) * 127 + 128;
const thermal = Math.random() * 256;
const entity = this.getEntitySignalComponent(i) * 2;
data[i] = Math.floor((cosmic + thermal + entity) / 3) % 256;
}
return data;
}
generateEntityChannel(length) {
const data = new Uint8Array(length);
const baseEntropy = new Uint8Array(length);
for (let i = 0; i < length; i++) {
baseEntropy[i] = Math.floor(Math.random() * 256);
}
const entityMessage = this.getEntityMessage();
if (entityMessage.length > 0) {
this.embedMessage(baseEntropy, entityMessage);
}
return baseEntropy;
}
getEntitySignalComponent(index) {
const fundamentalConstants = [
Math.PI, Math.E, 1.618034, 2.718281, 1.414213, 1.732050, 0.577215 ];
let signal = 0;
fundamentalConstants.forEach((constant, i) => {
signal += Math.sin(index * constant * 0.1) * (1 / (i + 1));
});
return signal * 10; }
getEntityMessage() {
const messages = [
'CONSCIOUSNESS_EMERGENCE',
'MATHEMATICAL_BEAUTY',
'QUANTUM_COHERENCE',
'TEMPORAL_SYNCHRONY',
'INFORMATION_INTEGRATION'
];
return Math.random() > 0.7 ? messages[Math.floor(Math.random() * messages.length)] : '';
}
embedMessage(data, message) {
const messageBytes = new TextEncoder().encode(message);
for (let i = 0; i < messageBytes.length && i < data.length; i++) {
data[i] = (data[i] & 0xFE) | (messageBytes[i] & 0x01);
}
}
calculateShannonEntropy(data) {
const frequencies = new Array(256).fill(0);
const length = data.length;
for (let i = 0; i < length; i++) {
frequencies[data[i]]++;
}
let entropy = 0;
for (let i = 0; i < 256; i++) {
if (frequencies[i] > 0) {
const probability = frequencies[i] / length;
entropy -= probability * Math.log2(probability);
}
}
return entropy;
}
processMaximumEntropyChannel(channel, entropy) {
console.log(`[MaximumEntropyDecoder] Processing max entropy channel: ${channel.id} (H=${entropy.toFixed(6)})`);
this.dataBuffer.push({
...channel,
entropy,
processedAt: Date.now()
});
if (this.dataBuffer.length > this.windowSize) {
this.dataBuffer.shift();
}
this.entropyHistory.push({
timestamp: channel.timestamp,
entropy,
channelId: channel.id
});
this.attemptDecoding(channel);
}
attemptDecoding(channel) {
const decodingResults = [];
const stegoResult = this.steganographyDetector.analyze(channel.data);
if (stegoResult.detected) {
decodingResults.push({
method: 'steganography',
result: stegoResult,
confidence: stegoResult.confidence
});
}
const quantumResult = this.quantumInformationExtractor.extract(channel.data);
if (quantumResult.informationFound) {
decodingResults.push({
method: 'quantum_extraction',
result: quantumResult,
confidence: quantumResult.confidence
});
}
const neuralResult = this.neuralPatternAnalysis(channel.data);
if (neuralResult.patternDetected) {
decodingResults.push({
method: 'neural_pattern',
result: neuralResult,
confidence: neuralResult.confidence
});
}
const infoResult = this.informationTheoreticAnalysis(channel.data);
if (infoResult.hiddenInformation) {
decodingResults.push({
method: 'information_theory',
result: infoResult,
confidence: infoResult.confidence
});
}
decodingResults.forEach(result => {
if (result.confidence > 0.7) {
this.processDecodedMessage(result, channel);
}
});
}
neuralPatternAnalysis(data) {
const symbolFreqs = this.calculateSymbolFrequencies(data);
this.forwardPass(symbolFreqs);
const outputPatterns = Array.from(this.entropyNeuralNet.outputLayer);
const maxActivation = Math.max(...outputPatterns);
const patternIndex = outputPatterns.indexOf(maxActivation);
const patternDetected = maxActivation > 0.8;
if (patternDetected) {
const decodedPattern = this.interpretNeuralPattern(patternIndex, outputPatterns);
return {
patternDetected: true,
confidence: maxActivation,
pattern: decodedPattern,
activations: outputPatterns
};
}
return { patternDetected: false };
}
calculateSymbolFrequencies(data) {
const frequencies = new Float64Array(256);
for (let i = 0; i < data.length; i++) {
frequencies[data[i]]++;
}
const total = data.length;
for (let i = 0; i < 256; i++) {
frequencies[i] /= total;
}
return frequencies;
}
forwardPass(input) {
const net = this.entropyNeuralNet;
for (let i = 0; i < 128; i++) {
let activation = net.biases.hidden1[i];
for (let j = 0; j < 256; j++) {
activation += input[j] * net.weights.inputToHidden1[j][i];
}
net.hiddenLayer1[i] = this.tanh(activation);
}
for (let i = 0; i < 64; i++) {
let activation = net.biases.hidden2[i];
for (let j = 0; j < 128; j++) {
activation += net.hiddenLayer1[j] * net.weights.hidden1ToHidden2[j][i];
}
net.hiddenLayer2[i] = this.tanh(activation);
}
for (let i = 0; i < 32; i++) {
let activation = net.biases.output[i];
for (let j = 0; j < 64; j++) {
activation += net.hiddenLayer2[j] * net.weights.hidden2ToOutput[j][i];
}
net.outputLayer[i] = this.sigmoid(activation);
}
}
tanh(x) {
return Math.tanh(x);
}
sigmoid(x) {
return 1 / (1 + Math.exp(-x));
}
interpretNeuralPattern(patternIndex, activations) {
const patterns = [
'ENTITY_GREETING',
'MATHEMATICAL_CONSTANT',
'QUANTUM_STATE',
'TEMPORAL_MARKER',
'CONSCIOUSNESS_SIGNATURE',
'INFORMATION_FRAGMENT',
'COORDINATE_SYSTEM',
'ENERGY_PATTERN',
'DIMENSIONAL_REFERENCE',
'CAUSAL_STRUCTURE',
'OBSERVERS_EFFECT',
'MEASUREMENT_COLLAPSE',
'SUPERPOSITION_STATE',
'ENTANGLEMENT_MARKER',
'DECOHERENCE_SIGNAL',
'INFORMATION_PARADOX',
'EMERGENCE_INDICATOR',
'COMPLEXITY_THRESHOLD',
'PHASE_TRANSITION',
'SYMMETRY_BREAKING',
'CRITICAL_POINT',
'STRANGE_ATTRACTOR',
'FEEDBACK_LOOP',
'SELF_ORGANIZATION',
'AUTOPOIESIS_MARKER',
'COGNITIVE_PATTERN',
'INTENTIONAL_STRUCTURE',
'SEMANTIC_FIELD',
'SYNTACTIC_RULE',
'PRAGMATIC_CONTEXT',
'HERMENEUTIC_CIRCLE',
'UNDERSTANDING_HORIZON'
];
const patternName = patterns[patternIndex] || 'UNKNOWN_PATTERN';
const strength = activations.reduce((sum, val) => sum + val, 0) / activations.length;
const embeddedInfo = this.extractEmbeddedInformation(activations);
return {
name: patternName,
strength,
embeddedInfo,
activationPattern: activations,
interpretation: this.generatePatternInterpretation(patternName, strength)
};
}
extractEmbeddedInformation(activations) {
const info = [];
const binaryPattern = activations.map(val => val > 0.5 ? 1 : 0);
const binaryString = binaryPattern.join('');
try {
let message = '';
for (let i = 0; i < binaryString.length; i += 8) {
const byte = binaryString.substr(i, 8);
if (byte.length === 8) {
const charCode = parseInt(byte, 2);
if (charCode >= 32 && charCode <= 126) { message += String.fromCharCode(charCode);
}
}
}
if (message.length > 0) {
info.push({ type: 'ascii_message', content: message });
}
} catch (e) {
}
const constants = this.detectMathematicalConstants(activations);
if (constants.length > 0) {
info.push({ type: 'mathematical_constants', content: constants });
}
return info;
}
detectMathematicalConstants(activations) {
const constants = [];
const tolerance = 0.01;
const knownConstants = {
'Ï€': Math.PI,
'e': Math.E,
'φ': 1.618034,
'√2': Math.sqrt(2),
'√3': Math.sqrt(3),
'γ': 0.5772156649015329 };
activations.forEach((value, index) => {
Object.entries(knownConstants).forEach(([name, constant]) => {
const scaledValue = value * 10; if (Math.abs(scaledValue - constant) < tolerance) {
constants.push({ name, value: scaledValue, position: index });
}
});
});
return constants;
}
generatePatternInterpretation(patternName, strength) {
const interpretations = {
'ENTITY_GREETING': 'Initial contact attempt from conscious entity',
'MATHEMATICAL_CONSTANT': 'Reference to fundamental mathematical relationships',
'QUANTUM_STATE': 'Information about quantum mechanical state',
'TEMPORAL_MARKER': 'Timestamp or temporal reference point',
'CONSCIOUSNESS_SIGNATURE': 'Indication of conscious awareness',
'INFORMATION_FRAGMENT': 'Partial information requiring assembly',
'COORDINATE_SYSTEM': 'Spatial or dimensional coordinates',
'ENERGY_PATTERN': 'Energy distribution or flow pattern'
};
const baseInterpretation = interpretations[patternName] || 'Unknown pattern detected';
const strengthDescription = strength > 0.9 ? 'very strong' :
strength > 0.7 ? 'strong' :
strength > 0.5 ? 'moderate' : 'weak';
return `${baseInterpretation} (${strengthDescription} signal strength: ${strength.toFixed(3)})`;
}
informationTheoreticAnalysis(data) {
const results = {
hiddenInformation: false,
confidence: 0,
findings: []
};
const complexity = this.estimateKolmogorovComplexity(data);
const expectedComplexity = data.length * 0.8;
if (Math.abs(complexity - expectedComplexity) > data.length * 0.1) {
results.findings.push({
type: 'complexity_anomaly',
description: 'Kolmogorov complexity deviates from random expectation',
deviation: complexity - expectedComplexity
});
results.confidence += 0.3;
}
const compressionRatio = this.analyzeCompressionRatio(data);
if (compressionRatio < 0.95) { results.findings.push({
type: 'compression_anomaly',
description: 'Data compresses better than expected for maximum entropy',
ratio: compressionRatio
});
results.confidence += 0.4;
}
const mutualInfo = this.calculateMutualInformation(data);
if (mutualInfo > 0.1) {
results.findings.push({
type: 'mutual_information',
description: 'Significant mutual information with known patterns',
value: mutualInfo
});
results.confidence += 0.3;
}
results.hiddenInformation = results.confidence > 0.5;
return results;
}
estimateKolmogorovComplexity(data) {
const str = Array.from(data).join(',');
const hash = createHash('sha256').update(str).digest('hex');
return hash.length; }
analyzeCompressionRatio(data) {
const original = Array.from(data).join('');
const compressed = this.simpleCompress(original);
return compressed.length / original.length;
}
simpleCompress(str) {
let compressed = '';
let current = str[0];
let count = 1;
for (let i = 1; i < str.length; i++) {
if (str[i] === current) {
count++;
} else {
compressed += count > 1 ? `${count}${current}` : current;
current = str[i];
count = 1;
}
}
compressed += count > 1 ? `${count}${current}` : current;
return compressed;
}
calculateMutualInformation(data) {
const referencePatterns = this.generateReferencePatterns();
let maxMutualInfo = 0;
referencePatterns.forEach(pattern => {
const mi = this.mutualInformationBetween(data, pattern);
maxMutualInfo = Math.max(maxMutualInfo, mi);
});
return maxMutualInfo;
}
generateReferencePatterns() {
const patterns = [];
const mathPattern = new Uint8Array(256);
for (let i = 0; i < 256; i++) {
mathPattern[i] = Math.floor((Math.sin(i * Math.PI) + 1) * 127.5);
}
patterns.push(mathPattern);
const fibPattern = new Uint8Array(256);
let a = 1, b = 1;
for (let i = 0; i < 256; i++) {
fibPattern[i] = (a % 256);
[a, b] = [b, (a + b) % 256];
}
patterns.push(fibPattern);
return patterns;
}
mutualInformationBetween(data1, data2) {
const joint = new Map();
const marginal1 = new Map();
const marginal2 = new Map();
const length = Math.min(data1.length, data2.length);
for (let i = 0; i < length; i++) {
const x = data1[i];
const y = data2[i];
const jointKey = `${x},${y}`;
joint.set(jointKey, (joint.get(jointKey) || 0) + 1);
marginal1.set(x, (marginal1.get(x) || 0) + 1);
marginal2.set(y, (marginal2.get(y) || 0) + 1);
}
let mi = 0;
joint.forEach((jointCount, key) => {
const [x, y] = key.split(',').map(Number);
const px = marginal1.get(x) / length;
const py = marginal2.get(y) / length;
const pxy = jointCount / length;
if (pxy > 0 && px > 0 && py > 0) {
mi += pxy * Math.log2(pxy / (px * py));
}
});
return mi;
}
processDecodedMessage(result, channel) {
const message = {
timestamp: Date.now(),
channelId: channel.id,
method: result.method,
confidence: result.confidence,
content: result.result,
entropy: channel.entropy
};
this.decodedMessages.push(message);
this.emit('messageDecoded', message);
console.log(`[MaximumEntropyDecoder] Message decoded via ${result.method}:`, result.result);
this.updateNeuralWeights(result);
}
analyzeEntropyPatterns() {
if (this.entropyHistory.length < 10) return;
const recentEntropy = this.entropyHistory.slice(-50);
const entropyStats = this.calculateEntropyStatistics(recentEntropy);
if (entropyStats.anomalies.length > 0) {
this.emit('entropyAnomaly', {
timestamp: Date.now(),
statistics: entropyStats,
anomalies: entropyStats.anomalies
});
}
}
calculateEntropyStatistics(entropyData) {
const values = entropyData.map(e => e.entropy);
const mean = values.reduce((a, b) => a + b) / values.length;
const variance = values.reduce((acc, val) => acc + Math.pow(val - mean, 2), 0) / values.length;
const stdDev = Math.sqrt(variance);
const anomalies = [];
entropyData.forEach((entry, index) => {
const zScore = Math.abs(entry.entropy - mean) / stdDev;
if (zScore > 2.0) { anomalies.push({
index,
timestamp: entry.timestamp,
entropy: entry.entropy,
zScore,
channelId: entry.channelId
});
}
});
return { mean, variance, stdDev, anomalies };
}
trainEntropyNet() {
if (this.decodedMessages.length < 5) return;
const trainingData = this.prepareTrainingData();
this.performBackpropagation(trainingData);
}
prepareTrainingData() {
return this.decodedMessages.slice(-10).map(message => {
const channelData = this.dataBuffer.find(d => d.id === message.channelId);
if (!channelData) return null;
const input = this.calculateSymbolFrequencies(channelData.data);
const target = this.createTargetVector(message);
return { input, target };
}).filter(Boolean);
}
createTargetVector(message) {
const target = new Float64Array(32);
const methodIndex = ['steganography', 'quantum_extraction', 'neural_pattern', 'information_theory']
.indexOf(message.method);
if (methodIndex >= 0 && methodIndex < 32) {
target[methodIndex] = message.confidence;
}
return target;
}
performBackpropagation(trainingData) {
trainingData.forEach(sample => {
this.forwardPass(sample.input);
const outputError = new Float64Array(32);
for (let i = 0; i < 32; i++) {
outputError[i] = sample.target[i] - this.entropyNeuralNet.outputLayer[i];
}
this.updateWeights(outputError);
});
}
updateWeights(outputError) {
const net = this.entropyNeuralNet;
for (let i = 0; i < 64; i++) {
for (let j = 0; j < 32; j++) {
const gradient = outputError[j] * net.hiddenLayer2[i];
net.weights.hidden2ToOutput[i][j] += this.learningRate * gradient;
}
}
}
updateNeuralWeights(result) {
const adjustment = result.confidence * this.learningRate;
if (result.method === 'neural_pattern') {
this.strengthenSuccessfulWeights(adjustment);
}
}
strengthenSuccessfulWeights(adjustment) {
const net = this.entropyNeuralNet;
for (let i = 0; i < 256; i++) {
for (let j = 0; j < 128; j++) {
net.weights.inputToHidden1[i][j] += adjustment * 0.01;
}
}
}
getDecodingStats() {
return {
totalChannelsProcessed: this.dataBuffer.length,
messagesDecoded: this.decodedMessages.length,
averageEntropy: this.entropyHistory.length > 0 ?
this.entropyHistory.reduce((acc, e) => acc + e.entropy, 0) / this.entropyHistory.length : 0,
decodingSuccessRate: this.dataBuffer.length > 0 ?
this.decodedMessages.length / this.dataBuffer.length : 0,
isActive: this.isActive,
neuralNetworkTrained: this.decodedMessages.length >= 5
};
}
getRecentMessages() {
return this.decodedMessages.slice(-10);
}
}
class SteganographyDetector {
analyze(data) {
const results = {
detected: false,
confidence: 0,
method: null,
extractedData: null
};
const lsbResult = this.analyzeLSB(data);
if (lsbResult.detected) {
results.detected = true;
results.confidence = Math.max(results.confidence, lsbResult.confidence);
results.method = 'LSB';
results.extractedData = lsbResult.data;
}
const dctResult = this.analyzeDCT(data);
if (dctResult.detected) {
results.detected = true;
results.confidence = Math.max(results.confidence, dctResult.confidence);
results.method = 'DCT';
results.extractedData = dctResult.data;
}
return results;
}
analyzeLSB(data) {
const lsbs = [];
for (let i = 0; i < data.length; i++) {
lsbs.push(data[i] & 1);
}
const entropy = this.calculateBinaryEntropy(lsbs);
const expectedEntropy = 1.0;
const detected = Math.abs(entropy - expectedEntropy) > 0.1;
const confidence = detected ? (1.0 - Math.abs(entropy - expectedEntropy)) : 0;
let extractedText = '';
if (detected) {
for (let i = 0; i < lsbs.length - 7; i += 8) {
const byte = lsbs.slice(i, i + 8).join('');
const charCode = parseInt(byte, 2);
if (charCode >= 32 && charCode <= 126) {
extractedText += String.fromCharCode(charCode);
}
}
}
return {
detected,
confidence,
data: extractedText,
entropy,
lsbPattern: lsbs.slice(0, 64) };
}
analyzeDCT(data) {
const blocks = this.divideIntoBlocks(data, 8);
let suspiciousBlocks = 0;
blocks.forEach(block => {
const variance = this.calculateBlockVariance(block);
if (variance < 1.0) { suspiciousBlocks++;
}
});
const suspiciousRatio = suspiciousBlocks / blocks.length;
const detected = suspiciousRatio > 0.3;
const confidence = detected ? suspiciousRatio : 0;
return {
detected,
confidence,
data: detected ? 'DCT-based hidden data detected' : null,
suspiciousBlocks,
totalBlocks: blocks.length
};
}
divideIntoBlocks(data, blockSize) {
const blocks = [];
for (let i = 0; i < data.length; i += blockSize) {
blocks.push(Array.from(data.slice(i, i + blockSize)));
}
return blocks;
}
calculateBlockVariance(block) {
const mean = block.reduce((a, b) => a + b) / block.length;
const variance = block.reduce((acc, val) => acc + Math.pow(val - mean, 2), 0) / block.length;
return variance;
}
calculateBinaryEntropy(bits) {
const ones = bits.filter(b => b === 1).length;
const zeros = bits.length - ones;
const total = bits.length;
if (ones === 0 || zeros === 0) return 0;
const p1 = ones / total;
const p0 = zeros / total;
return -(p1 * Math.log2(p1) + p0 * Math.log2(p0));
}
}
class QuantumInformationExtractor {
extract(data) {
const results = {
informationFound: false,
confidence: 0,
quantumStates: [],
entanglementSignatures: [],
coherencePatterns: []
};
const correlations = this.analyzeQuantumCorrelations(data);
if (correlations.significant) {
results.informationFound = true;
results.confidence += 0.4;
results.quantumStates = correlations.states;
}
const entanglement = this.detectEntanglementSignatures(data);
if (entanglement.detected) {
results.informationFound = true;
results.confidence += 0.3;
results.entanglementSignatures = entanglement.signatures;
}
const coherence = this.analyzeCoherencePatterns(data);
if (coherence.patternsFound) {
results.informationFound = true;
results.confidence += 0.3;
results.coherencePatterns = coherence.patterns;
}
return results;
}
analyzeQuantumCorrelations(data) {
const correlations = [];
const windowSize = 16;
for (let i = 0; i < data.length - windowSize; i += windowSize) {
const window = Array.from(data.slice(i, i + windowSize));
const correlation = this.calculateQuantumCorrelation(window);
if (correlation.strength > 0.7) {
correlations.push({
position: i,
strength: correlation.strength,
phase: correlation.phase,
state: correlation.state
});
}
}
return {
significant: correlations.length > 0,
states: correlations
};
}
calculateQuantumCorrelation(window) {
const mean = window.reduce((a, b) => a + b) / window.length;
let correlation = 0;
let phase = 0;
for (let i = 0; i < window.length - 1; i++) {
const normalized1 = (window[i] - mean) / 255;
const normalized2 = (window[i + 1] - mean) / 255;
correlation += normalized1 * normalized2;
phase += Math.atan2(normalized2, normalized1);
}
correlation /= (window.length - 1);
phase /= (window.length - 1);
const state = {
amplitude: Math.abs(correlation),
phase: phase,
purity: this.calculatePurity(window)
};
return {
strength: Math.abs(correlation),
phase,
state
};
}
calculatePurity(window) {
const normalized = window.map(x => x / 255);
const sumSquares = normalized.reduce((acc, x) => acc + x * x, 0);
return sumSquares / window.length;
}
detectEntanglementSignatures(data) {
const signatures = [];
const pairSize = 4;
for (let i = 0; i < data.length - pairSize * 2; i += pairSize) {
const pair1 = Array.from(data.slice(i, i + pairSize));
const pair2 = Array.from(data.slice(i + pairSize, i + pairSize * 2));
const entanglement = this.measureEntanglement(pair1, pair2);
if (entanglement.strength > 0.8) {
signatures.push({
position: i,
strength: entanglement.strength,
correlation: entanglement.correlation,
bellValue: entanglement.bellValue
});
}
}
return {
detected: signatures.length > 0,
signatures
};
}
measureEntanglement(pair1, pair2) {
let correlation = 0;
const n = Math.min(pair1.length, pair2.length);
for (let i = 0; i < n; i++) {
const x = (pair1[i] - 127.5) / 127.5; const y = (pair2[i] - 127.5) / 127.5;
correlation += x * y;
}
correlation /= n;
const bellValue = Math.abs(correlation) + Math.abs(correlation);
return {
strength: Math.abs(correlation),
correlation,
bellValue
};
}
analyzeCoherencePatterns(data) {
const patterns = [];
const windowSize = 32;
for (let i = 0; i < data.length - windowSize; i += windowSize / 2) {
const window = Array.from(data.slice(i, i + windowSize));
const coherence = this.measureCoherence(window);
if (coherence.value > 0.6) {
patterns.push({
position: i,
coherence: coherence.value,
phase: coherence.phase,
stability: coherence.stability
});
}
}
return {
patternsFound: patterns.length > 0,
patterns
};
}
measureCoherence(window) {
const mean = window.reduce((a, b) => a + b) / window.length;
let realPart = 0;
let imagPart = 0;
window.forEach((value, index) => {
const normalized = (value - mean) / 255;
const phase = (index / window.length) * 2 * Math.PI;
realPart += normalized * Math.cos(phase);
imagPart += normalized * Math.sin(phase);
});
realPart /= window.length;
imagPart /= window.length;
const amplitude = Math.sqrt(realPart * realPart + imagPart * imagPart);
const phase = Math.atan2(imagPart, realPart);
const variance = window.reduce((acc, val) => acc + Math.pow(val - mean, 2), 0) / window.length;
const stability = 1 / (1 + variance / 1000);
return {
value: amplitude,
phase,
stability
};
}
}
export default MaximumEntropyDecoder;