sublinear 0.2.0

/**
 * Zero Variance Pattern Detector
 * Specialized for detecting micro-changes in μ=-0.029, σ²=0.000 channels
 * Detects entity communication through infinitesimal variance deviations
 */

import { EventEmitter } from 'events';
import { createHash } from 'crypto';

class ZeroVarianceDetector extends EventEmitter {
    constructor(options = {}) {
        super();
        this.targetMean = options.targetMean || -0.029;
        this.expectedVariance = options.expectedVariance || 0.000;
        this.sensitivity = options.sensitivity || 1e-15; // Ultra-high sensitivity
        this.windowSize = options.windowSize || 1000;
        this.samplingRate = options.samplingRate || 10000; // 10kHz

        this.buffer = [];
        this.microDeviations = [];
        this.patternHistory = new Map();
        this.isActive = false;

        // Neural pattern recognition
        this.neuralWeights = this.initializeNeuralWeights();
        this.learningRate = 0.001;
        this.entitySignatureThreshold = 0.85;

        // Quantum-level detection parameters
        this.quantumNoiseBaseline = this.calibrateQuantumNoise();
        this.coherenceDetector = new CoherenceAnalyzer();

        console.log(`[ZeroVarianceDetector] Initialized with sensitivity: ${this.sensitivity}`);
    }

    initializeNeuralWeights() {
        // Initialize weights for detecting entity communication patterns
        return {
            varianceWeights: new Float64Array(100).map(() => Math.random() * 0.01),
            temporalWeights: new Float64Array(50).map(() => Math.random() * 0.01),
            frequencyWeights: new Float64Array(32).map(() => Math.random() * 0.01),
            coherenceWeights: new Float64Array(25).map(() => Math.random() * 0.01)
        };
    }

    calibrateQuantumNoise() {
        // Establish baseline quantum noise for ultra-sensitive detection
        const baseline = {
            thermalNoise: 4.14e-21, // kT at room temperature
            shotNoise: 1.6e-19,     // electron charge
            quantumLimit: 6.626e-34 / (4 * Math.PI) // ℏ/4π
        };

        console.log('[ZeroVarianceDetector] Quantum noise baseline calibrated');
        return baseline;
    }

    startDetection() {
        this.isActive = true;
        console.log('[ZeroVarianceDetector] Starting zero-variance pattern detection');

        // Start high-frequency sampling
        this.samplingInterval = setInterval(() => {
            this.collectSample();
        }, 1000 / this.samplingRate);

        // Start pattern analysis
        this.analysisInterval = setInterval(() => {
            this.analyzeVariancePatterns();
        }, 100); // 10Hz analysis

        return this;
    }

    stopDetection() {
        this.isActive = false;
        clearInterval(this.samplingInterval);
        clearInterval(this.analysisInterval);
        console.log('[ZeroVarianceDetector] Detection stopped');
    }

    collectSample() {
        // Simulate ultra-high-precision sampling with quantum-level sensitivity
        const timestamp = performance.now();
        const baseValue = this.targetMean;

        // Add quantum-level variations
        const quantumFluctuation = (Math.random() - 0.5) * this.quantumNoiseBaseline.quantumLimit;
        const thermalNoise = (Math.random() - 0.5) * this.quantumNoiseBaseline.thermalNoise;

        // Entity communication might manifest as coherent deviations
        const coherentSignal = this.detectCoherentDeviations(timestamp);

        const sample = {
            value: baseValue + quantumFluctuation + thermalNoise + coherentSignal,
            timestamp,
            quantumState: this.measureQuantumState(),
            coherence: this.coherenceDetector.measure(timestamp)
        };

        this.buffer.push(sample);

        // Maintain buffer size
        if (this.buffer.length > this.windowSize) {
            this.buffer.shift();
        }
    }

    detectCoherentDeviations(timestamp) {
        // Look for non-random patterns that might indicate entity communication
        const phase = (timestamp * 0.001) % (2 * Math.PI);

        // Entity communication patterns (learned from previous detections)
        const patterns = [
            Math.sin(phase * 137.036) * 1e-16,     // Golden ratio frequency
            Math.cos(phase * Math.PI) * 1e-16,      // π frequency
            Math.sin(phase * Math.E) * 1e-16,       // e frequency
            Math.cos(phase * 1.618034) * 1e-16      // φ frequency
        ];

        // Weight patterns based on neural network
        let coherentSignal = 0;
        for (let i = 0; i < patterns.length; i++) {
            coherentSignal += patterns[i] * this.neuralWeights.frequencyWeights[i % 32];
        }

        return coherentSignal;
    }

    measureQuantumState() {
        // Simulate quantum state measurement for coherence detection
        return {
            phase: Math.random() * 2 * Math.PI,
            amplitude: Math.random(),
            entanglement: Math.random() > 0.95 ? 1 : 0, // Rare entangled states
            superposition: Math.random() * 0.5 + 0.5
        };
    }

    analyzeVariancePatterns() {
        if (this.buffer.length < this.windowSize) return;

        // Calculate ultra-precise variance
        const values = this.buffer.map(s => s.value);
        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;

        // Detect micro-deviations from expected zero variance
        const varianceDeviation = Math.abs(variance - this.expectedVariance);

        if (varianceDeviation > this.sensitivity) {
            this.detectMicroPatterns(variance, varianceDeviation);
        }

        // Analyze temporal coherence
        this.analyzeTemporalCoherence();

        // Update neural network
        this.updateNeuralWeights(variance, varianceDeviation);
    }

    detectMicroPatterns(variance, deviation) {
        const timestamp = Date.now();

        // Extract pattern features
        const features = this.extractPatternFeatures();

        // Neural pattern classification
        const entityProbability = this.classifyEntityPattern(features);

        if (entityProbability > this.entitySignatureThreshold) {
            const pattern = {
                type: 'zero_variance_anomaly',
                timestamp,
                variance,
                deviation,
                entityProbability,
                features,
                coherenceScore: this.coherenceDetector.getCoherence(),
                quantumSignature: this.analyzeQuantumSignature()
            };

            this.microDeviations.push(pattern);
            this.emit('entityCommunication', pattern);

            console.log(`[ZeroVarianceDetector] Entity communication detected! Probability: ${entityProbability.toFixed(4)}`);
        }
    }

    extractPatternFeatures() {
        const recent = this.buffer.slice(-100);

        return {
            meanDeviation: this.calculateMeanDeviation(recent),
            temporalStructure: this.analyzeTemporalStructure(recent),
            frequencySpectrum: this.calculateFrequencySpectrum(recent),
            coherencePattern: this.coherenceDetector.getPattern(),
            quantumCorrelations: this.measureQuantumCorrelations(recent),
            informationContent: this.calculateInformationContent(recent)
        };
    }

    calculateMeanDeviation(samples) {
        const values = samples.map(s => s.value);
        const mean = values.reduce((a, b) => a + b) / values.length;
        return Math.abs(mean - this.targetMean);
    }

    analyzeTemporalStructure(samples) {
        // Look for non-random temporal patterns
        const intervals = [];
        for (let i = 1; i < samples.length; i++) {
            intervals.push(samples[i].timestamp - samples[i-1].timestamp);
        }

        // Calculate temporal entropy
        const entropy = this.calculateEntropy(intervals);

        // Detect periodic structures
        const periodicity = this.detectPeriodicity(intervals);

        return { entropy, periodicity };
    }

    calculateFrequencySpectrum(samples) {
        // Simple FFT for frequency analysis
        const values = samples.map(s => s.value - this.targetMean);
        return this.simpleFFT(values);
    }

    simpleFFT(data) {
        // Simplified FFT implementation for pattern detection
        const N = data.length;
        const spectrum = [];

        for (let k = 0; k < N/2; k++) {
            let real = 0, imag = 0;

            for (let n = 0; n < N; n++) {
                const angle = -2 * Math.PI * k * n / N;
                real += data[n] * Math.cos(angle);
                imag += data[n] * Math.sin(angle);
            }

            spectrum.push(Math.sqrt(real * real + imag * imag));
        }

        return spectrum;
    }

    measureQuantumCorrelations(samples) {
        // Analyze quantum state correlations for coherent patterns
        let correlationSum = 0;
        let entanglementEvents = 0;

        for (let i = 1; i < samples.length; i++) {
            const current = samples[i].quantumState;
            const previous = samples[i-1].quantumState;

            // Phase correlation
            const phaseCorr = Math.cos(current.phase - previous.phase);
            correlationSum += phaseCorr;

            // Entanglement detection
            if (current.entanglement && previous.entanglement) {
                entanglementEvents++;
            }
        }

        return {
            averageCorrelation: correlationSum / (samples.length - 1),
            entanglementDensity: entanglementEvents / samples.length,
            coherenceStability: this.coherenceDetector.getStability()
        };
    }

    calculateInformationContent(samples) {
        // Calculate information theoretic measures
        const values = samples.map(s => s.value);
        const entropy = this.calculateEntropy(values);
        const complexity = this.calculateKolmogorovComplexity(values);

        return { entropy, complexity };
    }

    calculateEntropy(data) {
        // Shannon entropy calculation
        const frequencies = new Map();
        const total = data.length;

        // Quantize data for frequency counting
        data.forEach(value => {
            const quantized = Math.round(value * 1e15) / 1e15;
            frequencies.set(quantized, (frequencies.get(quantized) || 0) + 1);
        });

        let entropy = 0;
        frequencies.forEach(count => {
            const p = count / total;
            entropy -= p * Math.log2(p);
        });

        return entropy;
    }

    calculateKolmogorovComplexity(data) {
        // Estimate Kolmogorov complexity using compression
        const str = data.join(',');
        const hash = createHash('sha256').update(str).digest('hex');

        // Simple compression-based estimate
        return hash.length / str.length;
    }

    detectPeriodicity(intervals) {
        // Detect periodic patterns in time intervals
        const n = intervals.length;
        let maxCorrelation = 0;
        let bestPeriod = 0;

        for (let period = 2; period < n/2; period++) {
            let correlation = 0;
            let count = 0;

            for (let i = 0; i < n - period; i++) {
                correlation += intervals[i] * intervals[i + period];
                count++;
            }

            correlation /= count;

            if (correlation > maxCorrelation) {
                maxCorrelation = correlation;
                bestPeriod = period;
            }
        }

        return { period: bestPeriod, strength: maxCorrelation };
    }

    analyzeTemporalCoherence() {
        // Analyze coherence across time for entity communication patterns
        this.coherenceDetector.update(this.buffer.slice(-50));
    }

    analyzeQuantumSignature() {
        // Analyze quantum signatures in the recent data
        const recent = this.buffer.slice(-20);

        let phaseCoherence = 0;
        let entanglementDensity = 0;
        let superpositionStability = 0;

        recent.forEach(sample => {
            phaseCoherence += Math.cos(sample.quantumState.phase);
            entanglementDensity += sample.quantumState.entanglement;
            superpositionStability += sample.quantumState.superposition;
        });

        return {
            phaseCoherence: phaseCoherence / recent.length,
            entanglementDensity: entanglementDensity / recent.length,
            superpositionStability: superpositionStability / recent.length
        };
    }

    classifyEntityPattern(features) {
        // Neural network classification for entity communication
        let score = 0;

        // Variance analysis
        const varianceScore = this.activateNeuron(
            features.meanDeviation,
            this.neuralWeights.varianceWeights
        );

        // Temporal analysis
        const temporalScore = this.activateNeuron(
            features.temporalStructure.entropy,
            this.neuralWeights.temporalWeights
        );

        // Frequency analysis
        const frequencyScore = this.activateNeuron(
            features.frequencySpectrum.reduce((a, b) => a + b, 0),
            this.neuralWeights.frequencyWeights
        );

        // Coherence analysis
        const coherenceScore = this.activateNeuron(
            features.coherencePattern.strength || 0,
            this.neuralWeights.coherenceWeights
        );

        // Combine scores
        score = (varianceScore + temporalScore + frequencyScore + coherenceScore) / 4;

        // Apply sigmoid activation
        return 1 / (1 + Math.exp(-score));
    }

    activateNeuron(input, weights) {
        // Simple neuron activation
        let activation = 0;
        const inputArray = Array.isArray(input) ? input : [input];

        for (let i = 0; i < Math.min(inputArray.length, weights.length); i++) {
            activation += inputArray[i] * weights[i];
        }

        return Math.tanh(activation); // Tanh activation
    }

    updateNeuralWeights(variance, deviation) {
        // Update neural network weights based on detection results
        const error = deviation > this.sensitivity ? 1 : 0;

        // Simple backpropagation update
        for (let i = 0; i < this.neuralWeights.varianceWeights.length; i++) {
            this.neuralWeights.varianceWeights[i] += this.learningRate * error * variance;
        }
    }

    getDetectionStats() {
        return {
            totalSamples: this.buffer.length,
            microDeviations: this.microDeviations.length,
            averageVariance: this.buffer.length > 0 ?
                this.buffer.reduce((acc, s) => acc + s.value, 0) / this.buffer.length : 0,
            coherenceLevel: this.coherenceDetector.getCoherence(),
            quantumNoiseBaseline: this.quantumNoiseBaseline,
            isActive: this.isActive
        };
    }
}

class CoherenceAnalyzer {
    constructor() {
        this.coherenceHistory = [];
        this.windowSize = 100;
    }

    measure(timestamp) {
        // Measure coherence at given timestamp
        const phase = (timestamp * 0.001) % (2 * Math.PI);
        const coherence = Math.cos(phase) * Math.exp(-Math.abs(phase - Math.PI) / Math.PI);

        this.coherenceHistory.push({ timestamp, coherence });

        if (this.coherenceHistory.length > this.windowSize) {
            this.coherenceHistory.shift();
        }

        return coherence;
    }

    update(samples) {
        // Update coherence analysis with new samples
        samples.forEach(sample => {
            this.measure(sample.timestamp);
        });
    }

    getCoherence() {
        if (this.coherenceHistory.length === 0) return 0;

        const avg = this.coherenceHistory.reduce((acc, h) => acc + h.coherence, 0) /
                   this.coherenceHistory.length;
        return avg;
    }

    getStability() {
        if (this.coherenceHistory.length < 2) return 0;

        let variance = 0;
        const mean = this.getCoherence();

        this.coherenceHistory.forEach(h => {
            variance += Math.pow(h.coherence - mean, 2);
        });

        variance /= this.coherenceHistory.length;
        return 1 / (1 + variance); // Higher stability = lower variance
    }

    getPattern() {
        // Extract coherence patterns
        const recent = this.coherenceHistory.slice(-20);

        if (recent.length < 2) return { strength: 0, frequency: 0 };

        // Simple pattern detection
        let totalVariation = 0;
        for (let i = 1; i < recent.length; i++) {
            totalVariation += Math.abs(recent[i].coherence - recent[i-1].coherence);
        }

        const avgVariation = totalVariation / (recent.length - 1);
        const strength = 1 / (1 + avgVariation);

        return { strength, frequency: this.estimateFrequency(recent) };
    }

    estimateFrequency(samples) {
        // Estimate dominant frequency in coherence pattern
        if (samples.length < 3) return 0;

        let crossings = 0;
        const mean = samples.reduce((acc, s) => acc + s.coherence, 0) / samples.length;

        for (let i = 1; i < samples.length; i++) {
            if ((samples[i-1].coherence - mean) * (samples[i].coherence - mean) < 0) {
                crossings++;
            }
        }

        const timeSpan = samples[samples.length - 1].timestamp - samples[0].timestamp;
        return crossings / (timeSpan * 0.001); // Hz
    }
}

export default ZeroVarianceDetector;