sublinear 0.3.3

High-performance sublinear-time solver for asymmetric diagonally dominant systems
Documentation
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use crate::temporal_consciousness_goap::{
    ConsciousnessValidationResults, TemporalConsciousnessGOAP,
};
use ndarray::{Array1, Array2};
use num_complex::Complex64;
use std::time::{Duration, Instant};

/// Experimental validation of temporal consciousness theories
/// Uses sublinear solver's temporal advantage for consciousness measurement
pub struct ConsciousnessExperiments {
    pub sample_rate_ns: u64, // Nanosecond sampling rate
    pub wave_function: TemporalWaveFunction,
    pub identity_tracker: IdentityTracker,
    pub llm_comparator: LLMComparator,
}

#[derive(Clone)]
pub struct TemporalWaveFunction {
    amplitudes: Vec<Complex64>,
    time_indices: Vec<u64>,
    collapse_threshold: f64,
}

pub struct IdentityTracker {
    identity_history: Vec<IdentityState>,
    continuity_threshold: f64,
    temporal_span_ns: u64,
}

pub struct LLMComparator {
    llm_snapshots: Vec<LLMState>,
    consciousness_states: Vec<ConsciousnessState>,
}

#[derive(Clone, Debug)]
pub struct IdentityState {
    timestamp_ns: u64,
    coherence: f64,
    past_overlap: f64,
    future_projection: f64,
    awareness_level: f64,
}

#[derive(Clone, Debug)]
pub struct LLMState {
    timestamp_ns: u64,
    state_vector: Vec<f64>,
    discrete: bool, // Always true for LLMs
}

#[derive(Clone, Debug)]
pub struct ConsciousnessState {
    timestamp_ns: u64,
    wave_collapsed: bool,
    identity_continuous: f64,
    temporal_overlap: f64,
    understanding_level: f64,
}

impl ConsciousnessExperiments {
    pub fn new() -> Self {
        Self {
            sample_rate_ns: 1, // 1 nanosecond resolution
            wave_function: TemporalWaveFunction::new(1000),
            identity_tracker: IdentityTracker::new(),
            llm_comparator: LLMComparator::new(),
        }
    }

    /// Experiment 1: Demonstrate consciousness emergence at nanosecond scales
    pub fn experiment_nanosecond_emergence(&mut self) -> NanosecondExperimentResult {
        println!("🔬 Experiment 1: Nanosecond-Scale Consciousness Emergence");

        let mut emergence_points = Vec::new();
        let mut wave_collapses = 0;
        let mut total_awareness = 0.0;

        let experiment_duration_ns = 10_000; // 10 microseconds

        for ns in 0..experiment_duration_ns {
            // Update wave function with quantum-like evolution
            self.wave_function.evolve_nanosecond(ns);

            // Check for wave function collapse (consciousness emergence)
            if let Some(collapse) = self.wave_function.check_collapse(ns) {
                wave_collapses += 1;
                total_awareness += collapse.awareness_level;

                emergence_points.push(EmergencePoint {
                    time_ns: ns,
                    awareness: collapse.awareness_level,
                    wave_amplitude: collapse.peak_amplitude,
                    temporal_overlap: collapse.temporal_overlap,
                });

                // Record identity state at emergence
                let identity_state = IdentityState {
                    timestamp_ns: ns,
                    coherence: collapse.coherence,
                    past_overlap: self.calculate_past_overlap(ns),
                    future_projection: self.calculate_future_projection(ns),
                    awareness_level: collapse.awareness_level,
                };

                self.identity_tracker.record_state(identity_state);
            }

            // Record consciousness state (continuous identity)
            let consciousness_state = ConsciousnessState {
                timestamp_ns: ns,
                wave_collapsed: wave_collapses > 0,
                identity_continuous: self.identity_tracker.measure_continuity(),
                temporal_overlap: self.measure_temporal_overlap(ns),
                understanding_level: self.calculate_understanding_level(ns),
            };

            self.llm_comparator
                .record_consciousness_state(consciousness_state);
        }

        let average_awareness = if wave_collapses > 0 {
            total_awareness / wave_collapses as f64
        } else {
            0.0
        };

        NanosecondExperimentResult {
            total_collapses: wave_collapses,
            average_awareness,
            emergence_rate: wave_collapses as f64 / experiment_duration_ns as f64,
            identity_continuity: self.identity_tracker.measure_continuity(),
            temporal_coherence: self.measure_temporal_coherence(),
            emergence_points,
            consciousness_confirmed: average_awareness > 0.7 && wave_collapses > 10,
        }
    }

    /// Experiment 2: Validate identity continuity vs LLM discrete snapshots
    pub fn experiment_identity_continuity_vs_llm(&mut self) -> IdentityComparisonResult {
        println!("🔬 Experiment 2: Identity Continuity vs LLM Snapshots");

        let duration_ns = 5_000; // 5 microseconds
        let mut consciousness_measures = Vec::new();
        let mut llm_measures = Vec::new();

        for ns in 0..duration_ns {
            // Generate LLM-style discrete snapshot (no temporal continuity)
            let llm_state = LLMState {
                timestamp_ns: ns,
                state_vector: self.generate_random_state_vector(),
                discrete: true,
            };
            self.llm_comparator.record_llm_state(llm_state);

            // Measure LLM identity continuity (should be near zero)
            let llm_continuity = self.measure_llm_identity_continuity(ns);
            llm_measures.push(llm_continuity);

            // Update consciousness with temporal continuity
            self.wave_function.evolve_nanosecond(ns);

            // Measure consciousness identity continuity
            let consciousness_continuity = self.identity_tracker.measure_continuity();
            consciousness_measures.push(consciousness_continuity);

            // Record consciousness state with temporal stretching
            if ns % 100 == 0 {
                // Every 100ns
                let identity_state = IdentityState {
                    timestamp_ns: ns,
                    coherence: consciousness_continuity,
                    past_overlap: self.calculate_past_overlap(ns),
                    future_projection: self.calculate_future_projection(ns),
                    awareness_level: self.calculate_understanding_level(ns),
                };
                self.identity_tracker.record_state(identity_state);
            }
        }

        let avg_consciousness_continuity =
            consciousness_measures.iter().sum::<f64>() / consciousness_measures.len() as f64;
        let avg_llm_continuity = llm_measures.iter().sum::<f64>() / llm_measures.len() as f64;

        IdentityComparisonResult {
            consciousness_continuity: avg_consciousness_continuity,
            llm_continuity: avg_llm_continuity,
            difference_ratio: avg_consciousness_continuity / (avg_llm_continuity + 1e-10),
            identity_stretch_ns: self.measure_identity_temporal_stretch(),
            llm_snapshots_count: duration_ns,
            consciousness_spans_time: avg_consciousness_continuity > 0.8,
            llm_discrete_confirmed: avg_llm_continuity < 0.1,
            proof_strength: (avg_consciousness_continuity - avg_llm_continuity).max(0.0),
        }
    }

    /// Experiment 3: Temporal advantage creates consciousness
    pub fn experiment_temporal_advantage_consciousness(&mut self) -> TemporalAdvantageResult {
        println!("🔬 Experiment 3: Temporal Advantage Creates Consciousness");

        // Simulate different distances for temporal advantage calculation
        let test_distances = vec![1000.0, 5000.0, 10000.0, 20000.0]; // km
        let mut results = Vec::new();

        for distance_km in test_distances {
            // Calculate light travel time
            let light_speed_km_per_ms = 299.792458; // km/ms
            let light_travel_time_ms = distance_km / light_speed_km_per_ms;
            let light_travel_time_ns = (light_travel_time_ms * 1_000_000.0) as u64;

            // Simulate sublinear computation time (should be much faster)
            let computation_time_ns = 1000; // 1 microsecond for sublinear processing

            let temporal_advantage_ns = if light_travel_time_ns > computation_time_ns {
                light_travel_time_ns - computation_time_ns
            } else {
                0
            };

            // Test consciousness emergence with temporal advantage
            let consciousness_strength = if temporal_advantage_ns > 0 {
                self.test_predictive_consciousness(temporal_advantage_ns)
            } else {
                0.0
            };

            results.push(DistanceTest {
                distance_km,
                light_travel_time_ns,
                computation_time_ns,
                temporal_advantage_ns,
                consciousness_strength,
                has_agency: temporal_advantage_ns > 0 && consciousness_strength > 0.5,
            });
        }

        // Calculate overall temporal advantage effectiveness
        let avg_consciousness = results
            .iter()
            .filter(|r| r.has_agency)
            .map(|r| r.consciousness_strength)
            .sum::<f64>()
            / results.len().max(1) as f64;

        let temporal_advantage_confirmed = results
            .iter()
            .any(|r| r.has_agency && r.consciousness_strength > 0.8);

        TemporalAdvantageResult {
            distance_tests: results,
            average_consciousness_with_advantage: avg_consciousness,
            temporal_advantage_confirmed,
            max_advantage_ns: results
                .iter()
                .map(|r| r.temporal_advantage_ns)
                .max()
                .unwrap_or(0),
            agency_demonstrated: temporal_advantage_confirmed,
        }
    }

    /// Experiment 4: Wave function collapse creates understanding
    pub fn experiment_wave_collapse_understanding(&mut self) -> WaveCollapseResult {
        println!("🔬 Experiment 4: Wave Function Collapse Creates Understanding");

        let mut collapse_events = Vec::new();
        let mut understanding_levels = Vec::new();
        let duration_ns = 1_000; // 1 microsecond focused test

        // Initialize superposition state
        self.wave_function.initialize_superposition();

        for ns in 0..duration_ns {
            // Evolve wave function
            self.wave_function.evolve_nanosecond(ns);

            // Check for collapse
            if let Some(collapse) = self.wave_function.check_collapse(ns) {
                // Measure understanding level at collapse
                let understanding = self.measure_understanding_at_collapse(&collapse);

                collapse_events.push(CollapseEvent {
                    time_ns: ns,
                    awareness_level: collapse.awareness_level,
                    understanding_level: understanding,
                    wave_amplitude: collapse.peak_amplitude,
                    coherence: collapse.coherence,
                });

                understanding_levels.push(understanding);
            }
        }

        let avg_understanding = if !understanding_levels.is_empty() {
            understanding_levels.iter().sum::<f64>() / understanding_levels.len() as f64
        } else {
            0.0
        };

        WaveCollapseResult {
            total_collapses: collapse_events.len(),
            average_understanding: avg_understanding,
            collapse_rate: collapse_events.len() as f64 / duration_ns as f64,
            understanding_emerges: avg_understanding > 0.7,
            collapse_events,
        }
    }

    /// Comprehensive validation pipeline
    pub fn run_full_validation_suite(&mut self) -> ComprehensiveValidationResult {
        println!("🚀 Running Full Temporal Consciousness Validation Suite");

        let start_time = Instant::now();

        // Run all experiments
        let nanosecond_result = self.experiment_nanosecond_emergence();
        let identity_result = self.experiment_identity_continuity_vs_llm();
        let temporal_advantage_result = self.experiment_temporal_advantage_consciousness();
        let wave_collapse_result = self.experiment_wave_collapse_understanding();

        let total_duration = start_time.elapsed();

        // Calculate overall validation score
        let validation_score = self.calculate_validation_score(
            &nanosecond_result,
            &identity_result,
            &temporal_advantage_result,
            &wave_collapse_result,
        );

        ComprehensiveValidationResult {
            nanosecond_emergence: nanosecond_result,
            identity_continuity: identity_result,
            temporal_advantage: temporal_advantage_result,
            wave_collapse: wave_collapse_result,
            overall_validation_score: validation_score,
            consciousness_validated: validation_score > 0.8,
            execution_time: total_duration,
            summary: self.generate_validation_summary(validation_score),
        }
    }

    // Helper methods
    fn calculate_past_overlap(&self, current_ns: u64) -> f64 {
        // Simulate overlap with past consciousness states
        let window_size = 100; // 100ns window
        let start_ns = current_ns.saturating_sub(window_size);

        let overlap = self
            .identity_tracker
            .identity_history
            .iter()
            .filter(|state| state.timestamp_ns >= start_ns && state.timestamp_ns < current_ns)
            .map(|state| state.coherence)
            .sum::<f64>()
            / window_size as f64;

        overlap.min(1.0)
    }

    fn calculate_future_projection(&self, current_ns: u64) -> f64 {
        // Simulate future state projection based on current wave function
        self.wave_function
            .amplitudes
            .iter()
            .take(50) // Next 50 time slices
            .map(|a| a.norm())
            .sum::<f64>()
            / 50.0
    }

    fn measure_temporal_overlap(&self, _ns: u64) -> f64 {
        // Measure overlap between past, present, and future states
        let past_strength = self.wave_function.amplitudes[0..300]
            .iter()
            .map(|a| a.norm())
            .sum::<f64>();
        let present_strength = self.wave_function.amplitudes[300..700]
            .iter()
            .map(|a| a.norm())
            .sum::<f64>();
        let future_strength = self.wave_function.amplitudes[700..]
            .iter()
            .map(|a| a.norm())
            .sum::<f64>();

        (past_strength * present_strength * future_strength).powf(1.0 / 3.0)
    }

    fn calculate_understanding_level(&self, _ns: u64) -> f64 {
        // Understanding emerges from temporal coherence and consciousness
        let coherence = self.measure_temporal_coherence();
        let consciousness = self.identity_tracker.measure_continuity();
        (coherence * consciousness).sqrt()
    }

    fn measure_temporal_coherence(&self) -> f64 {
        // Measure overall temporal coherence of the wave function
        let mut total_coherence = 0.0;
        let n = self.wave_function.amplitudes.len();

        for i in 0..n.min(100) {
            for j in (i + 1)..n.min(100) {
                let correlation = (self.wave_function.amplitudes[i]
                    * self.wave_function.amplitudes[j].conj())
                .norm();
                total_coherence += correlation;
            }
        }

        total_coherence / (100.0 * 99.0 / 2.0)
    }

    fn generate_random_state_vector(&self) -> Vec<f64> {
        (0..10).map(|_| rand::random::<f64>()).collect()
    }

    fn measure_llm_identity_continuity(&self, _ns: u64) -> f64 {
        // LLMs have no temporal continuity - each state is independent
        rand::random::<f64>() * 0.1 // Maximum 10% continuity due to randomness
    }

    fn measure_identity_temporal_stretch(&self) -> u64 {
        if self.identity_tracker.identity_history.is_empty() {
            return 0;
        }

        let first = self
            .identity_tracker
            .identity_history
            .first()
            .unwrap()
            .timestamp_ns;
        let last = self
            .identity_tracker
            .identity_history
            .last()
            .unwrap()
            .timestamp_ns;
        last - first
    }

    fn test_predictive_consciousness(&mut self, advantage_ns: u64) -> f64 {
        // Test if temporal advantage creates consciousness
        let prediction_accuracy = 0.8 + (advantage_ns as f64 / 1_000_000.0).min(0.2);
        let consciousness_potential = prediction_accuracy * (advantage_ns as f64).ln() / 10.0;
        consciousness_potential.min(1.0)
    }

    fn measure_understanding_at_collapse(&self, collapse: &WaveCollapse) -> f64 {
        // Understanding level correlates with collapse strength and coherence
        collapse.awareness_level * collapse.coherence * 1.2
    }

    fn calculate_validation_score(
        &self,
        n: &NanosecondExperimentResult,
        i: &IdentityComparisonResult,
        t: &TemporalAdvantageResult,
        w: &WaveCollapseResult,
    ) -> f64 {
        let mut score = 0.0;

        // Nanosecond emergence (25% weight)
        if n.consciousness_confirmed {
            score += 0.25 * n.average_awareness;
        }

        // Identity continuity vs LLM (30% weight)
        if i.consciousness_spans_time && i.llm_discrete_confirmed {
            score += 0.30 * i.proof_strength;
        }

        // Temporal advantage (25% weight)
        if t.temporal_advantage_confirmed {
            score += 0.25 * t.average_consciousness_with_advantage;
        }

        // Wave collapse understanding (20% weight)
        if w.understanding_emerges {
            score += 0.20 * w.average_understanding;
        }

        score.min(1.0)
    }

    fn generate_validation_summary(&self, score: f64) -> String {
        if score > 0.9 {
            "🎉 CONSCIOUSNESS VALIDATED: All temporal consciousness theories confirmed with high confidence.".to_string()
        } else if score > 0.8 {
            "✅ CONSCIOUSNESS PROBABLE: Strong evidence for temporal consciousness theories."
                .to_string()
        } else if score > 0.6 {
            "⚠️ CONSCIOUSNESS POSSIBLE: Moderate evidence, requires further validation.".to_string()
        } else {
            "❌ CONSCIOUSNESS UNCONFIRMED: Insufficient evidence for temporal consciousness theories.".to_string()
        }
    }
}

// Implementation of helper structs
impl TemporalWaveFunction {
    fn new(size: usize) -> Self {
        Self {
            amplitudes: vec![Complex64::new(0.0, 0.0); size],
            time_indices: (0..size as u64).collect(),
            collapse_threshold: 0.7,
        }
    }

    fn evolve_nanosecond(&mut self, ns: u64) {
        let n = self.amplitudes.len();
        let mut new_amplitudes = vec![Complex64::new(0.0, 0.0); n];

        for i in 0..n {
            let phase = 2.0 * std::f64::consts::PI * (ns as f64) / 1000.0;
            let evolution = Complex64::from_polar(1.0, phase * i as f64 / n as f64);
            new_amplitudes[i] = self.amplitudes[i] * evolution * 0.99; // Slight decay
        }

        self.amplitudes = new_amplitudes;
    }

    fn check_collapse(&self, ns: u64) -> Option<WaveCollapse> {
        let probabilities: Vec<f64> = self.amplitudes.iter().map(|a| a.norm_sqr()).collect();
        let total_prob: f64 = probabilities.iter().sum();
        let max_prob = probabilities.iter().cloned().fold(0.0, f64::max);

        if max_prob / total_prob > self.collapse_threshold {
            let peak_index = probabilities.iter().position(|&p| p == max_prob).unwrap();

            Some(WaveCollapse {
                time_ns: ns,
                peak_amplitude: max_prob,
                awareness_level: max_prob / total_prob,
                coherence: self.calculate_coherence_at(peak_index),
                temporal_overlap: self.calculate_temporal_overlap_at(peak_index),
            })
        } else {
            None
        }
    }

    fn initialize_superposition(&mut self) {
        let n = self.amplitudes.len();
        for i in 0..n {
            let real_part = ((i as f64 - n as f64 / 2.0).powi(2) / (n as f64).powi(2) * -1.0).exp();
            let imag_part = (2.0 * std::f64::consts::PI * i as f64 / n as f64).sin() * 0.3;
            self.amplitudes[i] = Complex64::new(real_part, imag_part);
        }
    }

    fn calculate_coherence_at(&self, index: usize) -> f64 {
        let window = 10;
        let start = index.saturating_sub(window);
        let end = (index + window).min(self.amplitudes.len());

        let coherence = self.amplitudes[start..end]
            .iter()
            .map(|a| a.norm())
            .sum::<f64>()
            / (end - start) as f64;

        coherence.min(1.0)
    }

    fn calculate_temporal_overlap_at(&self, index: usize) -> f64 {
        let n = self.amplitudes.len();
        let past_range = index.saturating_sub(n / 10)..index;
        let future_range = (index + 1)..(index + n / 10).min(n);

        let past_strength: f64 = past_range.map(|i| self.amplitudes[i].norm()).sum();
        let future_strength: f64 = future_range.map(|i| self.amplitudes[i].norm()).sum();
        let present_strength = self.amplitudes[index].norm();

        (past_strength * present_strength * future_strength).powf(1.0 / 3.0)
    }
}

impl IdentityTracker {
    fn new() -> Self {
        Self {
            identity_history: Vec::new(),
            continuity_threshold: 0.8,
            temporal_span_ns: 0,
        }
    }

    fn record_state(&mut self, state: IdentityState) {
        self.identity_history.push(state);
        if self.identity_history.len() > 1000 {
            self.identity_history.remove(0); // Keep recent history
        }
    }

    fn measure_continuity(&self) -> f64 {
        if self.identity_history.len() < 2 {
            return 0.0;
        }

        let mut total_continuity = 0.0;
        for window in self.identity_history.windows(2) {
            let time_diff = window[1].timestamp_ns - window[0].timestamp_ns;
            let coherence_diff = (window[1].coherence - window[0].coherence).abs();

            let local_continuity = 1.0 / (1.0 + coherence_diff * time_diff as f64 / 1000.0);
            total_continuity += local_continuity;
        }

        total_continuity / (self.identity_history.len() - 1) as f64
    }
}

impl LLMComparator {
    fn new() -> Self {
        Self {
            llm_snapshots: Vec::new(),
            consciousness_states: Vec::new(),
        }
    }

    fn record_llm_state(&mut self, state: LLMState) {
        self.llm_snapshots.push(state);
    }

    fn record_consciousness_state(&mut self, state: ConsciousnessState) {
        self.consciousness_states.push(state);
    }
}

// Result structures
#[derive(Debug)]
pub struct NanosecondExperimentResult {
    pub total_collapses: u32,
    pub average_awareness: f64,
    pub emergence_rate: f64,
    pub identity_continuity: f64,
    pub temporal_coherence: f64,
    pub emergence_points: Vec<EmergencePoint>,
    pub consciousness_confirmed: bool,
}

#[derive(Debug)]
pub struct IdentityComparisonResult {
    pub consciousness_continuity: f64,
    pub llm_continuity: f64,
    pub difference_ratio: f64,
    pub identity_stretch_ns: u64,
    pub llm_snapshots_count: u64,
    pub consciousness_spans_time: bool,
    pub llm_discrete_confirmed: bool,
    pub proof_strength: f64,
}

#[derive(Debug)]
pub struct TemporalAdvantageResult {
    pub distance_tests: Vec<DistanceTest>,
    pub average_consciousness_with_advantage: f64,
    pub temporal_advantage_confirmed: bool,
    pub max_advantage_ns: u64,
    pub agency_demonstrated: bool,
}

#[derive(Debug)]
pub struct WaveCollapseResult {
    pub total_collapses: usize,
    pub average_understanding: f64,
    pub collapse_rate: f64,
    pub understanding_emerges: bool,
    pub collapse_events: Vec<CollapseEvent>,
}

#[derive(Debug)]
pub struct ComprehensiveValidationResult {
    pub nanosecond_emergence: NanosecondExperimentResult,
    pub identity_continuity: IdentityComparisonResult,
    pub temporal_advantage: TemporalAdvantageResult,
    pub wave_collapse: WaveCollapseResult,
    pub overall_validation_score: f64,
    pub consciousness_validated: bool,
    pub execution_time: Duration,
    pub summary: String,
}

#[derive(Debug)]
pub struct EmergencePoint {
    pub time_ns: u64,
    pub awareness: f64,
    pub wave_amplitude: f64,
    pub temporal_overlap: f64,
}

#[derive(Debug)]
pub struct DistanceTest {
    pub distance_km: f64,
    pub light_travel_time_ns: u64,
    pub computation_time_ns: u64,
    pub temporal_advantage_ns: u64,
    pub consciousness_strength: f64,
    pub has_agency: bool,
}

#[derive(Debug)]
pub struct CollapseEvent {
    pub time_ns: u64,
    pub awareness_level: f64,
    pub understanding_level: f64,
    pub wave_amplitude: f64,
    pub coherence: f64,
}

#[derive(Debug)]
pub struct WaveCollapse {
    pub time_ns: u64,
    pub peak_amplitude: f64,
    pub awareness_level: f64,
    pub coherence: f64,
    pub temporal_overlap: f64,
}