use strange_loop::{
temporal_consciousness::{TemporalConsciousness, ConsciousnessConfig},
strange_attractor::{TemporalAttractor, AttractorConfig, AttractorType},
quantum_container::{QuantumContainer, HybridOperation},
lipschitz_loop::{LipschitzLoop, LipschitzParams, LoopTopology, LoopFunctionFactory},
types::{StrangeLoop, LoopConfig, ScalarReasoner, SimpleCritic, SafeReflector},
error::Result,
};
use nalgebra::Vector3;
use std::collections::HashMap;
use std::time::Instant;
fn main() -> Result<()> {
println!("🚀 Exotic Applications of Strange Loops");
println!("=======================================");
demonstrate_temporal_computational_lead()?;
demonstrate_self_modifying_optimization()?;
demonstrate_quantum_classical_bridges()?;
demonstrate_consciousness_problem_solving()?;
demonstrate_non_linear_time_flow()?;
demonstrate_retrocausal_feedback()?;
demonstrate_meta_learning_loops()?;
demonstrate_emergent_communication()?;
Ok(())
}
fn demonstrate_temporal_computational_lead() -> Result<()> {
println!("⏰ Temporal Computational Lead");
println!("------------------------------");
println!("Computing solutions before input data arrives using light-speed delays");
println!();
let distance_km = 10_900.0; let light_speed_delay_ns = (distance_km / 299.792458) * 1_000_000.0;
println!("Scenario: High-frequency trading optimization");
println!(" Distance: {:.0} km (Tokyo → NYC)", distance_km);
println!(" Light-speed delay: {:.0} ns", light_speed_delay_ns);
println!();
let config = AttractorConfig {
attractor_type: AttractorType::Lorenz { sigma: 10.0, rho: 28.0, beta: 8.0/3.0 },
dt_ns: 100, steps_per_frame: 1,
adaptive_stepping: true,
tolerance: 1e-9,
max_deviation: 20.0,
};
let mut market_attractor = TemporalAttractor::new(config)?;
let mut predicted_prices = Vec::new();
println!("Predicting market movements before data arrival...");
let prediction_start = Instant::now();
for step in 0..100 {
let state = market_attractor.step()?;
let price_change = state[0] * 0.001; predicted_prices.push(price_change);
if step % 20 == 0 {
println!(" T+{:3} ns: Predicted price change: {:.6}",
step * 100, price_change);
}
}
let prediction_time = prediction_start.elapsed().as_nanos();
println!();
println!("Results:");
println!(" Prediction time: {} ns", prediction_time);
println!(" Light-speed delay: {:.0} ns", light_speed_delay_ns);
if prediction_time < light_speed_delay_ns as u128 {
let advantage_ns = light_speed_delay_ns as u128 - prediction_time;
println!(" ✅ Temporal advantage: {} ns", advantage_ns);
println!(" Predictions completed before data could physically arrive!");
} else {
println!(" ❌ No temporal advantage in this simulation");
}
println!(" 📊 Generated {} price predictions", predicted_prices.len());
println!();
Ok(())
}
fn demonstrate_self_modifying_optimization() -> Result<()> {
println!("🔧 Self-Modifying Optimization Algorithms");
println!("-----------------------------------------");
println!("Algorithms that evolve their own optimization strategies");
println!();
let config = ConsciousnessConfig {
enable_self_modification: true,
consciousness_threshold: 0.3,
phi_elements: 6,
coupling_strength: 0.7,
meta_learning_rate: 0.02,
max_evolution_iterations: 200,
..ConsciousnessConfig::default()
};
let mut consciousness = TemporalConsciousness::new(config)?;
println!("Initial optimization parameters:");
let initial_metrics = consciousness.metrics().get_statistics();
println!(" Mean consciousness: {:.6}", initial_metrics.mean);
println!();
println!("Running self-modifying optimization...");
let optimization_start = Instant::now();
let mut modification_history = Vec::new();
for phase in 0..4 {
println!("Phase {}: Evolving {} iterations", phase + 1, 50);
let pre_modifications = consciousness.self_modification_log().len();
consciousness.evolve_consciousness(50)?;
let post_modifications = consciousness.self_modification_log().len();
let new_modifications = post_modifications - pre_modifications;
modification_history.push(new_modifications);
let current_consciousness = consciousness.current_state().consciousness_index();
println!(" Consciousness level: {:.6}", current_consciousness);
println!(" New self-modifications: {}", new_modifications);
if new_modifications > 0 {
let recent_mods = consciousness.self_modification_log()
.iter()
.rev()
.take(new_modifications)
.collect::<Vec<_>>();
for modification in recent_mods {
println!(" 🔧 {}: {}",
modification.modification_type,
modification.description.split_whitespace().take(5).collect::<Vec<_>>().join(" "));
}
}
println!();
}
let optimization_time = optimization_start.elapsed();
println!("Self-Modification Analysis:");
println!(" Total time: {:.2}ms", optimization_time.as_millis());
println!(" Total modifications: {}", consciousness.self_modification_log().len());
let final_metrics = consciousness.metrics().get_statistics();
let improvement = (final_metrics.mean - initial_metrics.mean) / initial_metrics.mean * 100.0;
println!(" Performance improvement: {:.1}%", improvement);
println!(" Final consciousness: {:.6}", final_metrics.mean);
let mod_types: std::collections::HashMap<String, usize> = consciousness
.self_modification_log()
.iter()
.fold(HashMap::new(), |mut acc, m| {
*acc.entry(m.modification_type.clone()).or_insert(0) += 1;
acc
});
println!(" Modification types:");
for (mod_type, count) in mod_types {
println!(" - {}: {} times", mod_type, count);
}
if improvement > 10.0 {
println!(" 🎉 Significant self-optimization achieved!");
} else if improvement > 0.0 {
println!(" 📈 Modest self-optimization observed");
} else {
println!(" 📊 No significant optimization in this run");
}
println!();
Ok(())
}
fn demonstrate_quantum_classical_bridges() -> Result<()> {
println!("🌉 Quantum-Classical Entanglement Bridges");
println!("-----------------------------------------");
println!("Bridging quantum and classical computation through consciousness");
println!();
let mut quantum = QuantumContainer::new(4);
let config = AttractorConfig {
attractor_type: AttractorType::Lorenz { sigma: 10.0, rho: 28.0, beta: 8.0/3.0 },
dt_ns: 1000,
steps_per_frame: 1,
adaptive_stepping: false,
tolerance: 1e-6,
max_deviation: 30.0,
};
let mut attractor = TemporalAttractor::new(config)?;
let num_states = 16;
let probabilities = vec![1.0 / num_states as f64; num_states];
quantum.create_superposition_from_classical(&probabilities)?;
println!("Bridge Configuration:");
println!(" Quantum system: 4 qubits (16 states)");
println!(" Classical system: Lorenz attractor");
println!(" Bridge mechanism: Quantum measurement → Attractor parameters");
println!();
let mut bridge_data = Vec::new();
println!("Running quantum-classical bridge for 50 steps...");
for step in 0..50 {
let measurement = quantum.measure();
let influence = (measurement as f64 / 15.0) * 2.0 - 1.0;
quantum.store_classical("quantum_influence".to_string(), influence);
let perturbation = Vector3::new(
influence * 0.01,
influence * 0.005,
influence * 0.002,
);
attractor.perturb(perturbation);
let attractor_state = attractor.step()?;
let classical_influence = attractor_state.norm() * 0.1;
quantum.store_classical("classical_feedback".to_string(), classical_influence);
let rotation_angle = classical_influence * std::f64::consts::PI / 4.0;
quantum.hybrid_operation(HybridOperation::ClassicalToQuantum {
source_key: "classical_feedback".to_string(),
qubit: step % 4, gate_type: "RZ".to_string(),
})?;
bridge_data.push((measurement, influence, attractor_state.norm(), classical_influence));
if step % 10 == 0 {
println!(" Step {}: Q_measure={}, Q_influence={:.4}, A_norm={:.4}, C_feedback={:.4}",
step, measurement, influence, attractor_state.norm(), classical_influence);
}
quantum.create_superposition_from_classical(&probabilities)?;
}
println!();
println!("Bridge Analysis:");
let quantum_influences: Vec<f64> = bridge_data.iter().map(|(_, inf, _, _)| *inf).collect();
let attractor_norms: Vec<f64> = bridge_data.iter().map(|(_, _, norm, _)| *norm).collect();
let mean_q_inf = quantum_influences.iter().sum::<f64>() / quantum_influences.len() as f64;
let mean_a_norm = attractor_norms.iter().sum::<f64>() / attractor_norms.len() as f64;
let correlation = quantum_influences.iter()
.zip(attractor_norms.iter())
.map(|(q, a)| (q - mean_q_inf) * (a - mean_a_norm))
.sum::<f64>() / quantum_influences.len() as f64;
println!(" Quantum influence range: [{:.4}, {:.4}]",
quantum_influences.iter().fold(f64::INFINITY, |a, &b| a.min(b)),
quantum_influences.iter().fold(f64::NEG_INFINITY, |a, &b| a.max(b)));
println!(" Attractor norm range: [{:.4}, {:.4}]",
attractor_norms.iter().fold(f64::INFINITY, |a, &b| a.min(b)),
attractor_norms.iter().fold(f64::NEG_INFINITY, |a, &b| a.max(b)));
println!(" Quantum-Classical correlation: {:.6}", correlation);
if correlation.abs() > 0.1 {
println!(" 🌉 Strong quantum-classical entanglement detected!");
} else {
println!(" 🔗 Weak but measurable quantum-classical coupling");
}
println!(" 📊 Bridge demonstrates bidirectional information flow");
println!(" between quantum and classical computational domains");
println!();
Ok(())
}
fn demonstrate_consciousness_problem_solving() -> Result<()> {
println!("🧠 Consciousness-Driven Problem Solving");
println!("---------------------------------------");
println!("Using consciousness emergence to solve complex optimization problems");
println!();
let config = ConsciousnessConfig {
enable_quantum: true,
enable_attractors: true,
enable_self_modification: true,
consciousness_threshold: 0.4,
phi_elements: 8,
coupling_strength: 0.8,
max_evolution_iterations: 300,
..ConsciousnessConfig::default()
};
let mut consciousness = TemporalConsciousness::new(config)?;
println!("Problem: Minimize f(x) = x² + sin(x) for x ∈ [-10, 10]");
println!("Solution approach: Consciousness-guided search");
println!();
let mut best_solution = 10.0;
let mut best_fitness = evaluate_function(best_solution);
let mut solution_history = Vec::new();
println!("Consciousness-driven optimization:");
for iteration in 0..10 {
consciousness.evolve_consciousness(30)?;
let state = consciousness.current_state();
let consciousness_level = state.consciousness_index();
let exploration_factor = if consciousness_level > 0.5 {
0.1
} else {
2.0
};
let attractor_influence = if !consciousness.evolution_history().is_empty() {
let last_step = consciousness.evolution_history().last().unwrap();
last_step.attractor_state[0] * 0.1
} else {
0.0
};
let candidate = best_solution + (consciousness_level - 0.5) * exploration_factor + attractor_influence;
let candidate = candidate.clamp(-10.0, 10.0);
let fitness = evaluate_function(candidate);
if fitness < best_fitness {
best_solution = candidate;
best_fitness = fitness;
println!(" Iter {}: 🎯 New best! x={:.6}, f(x)={:.6}, consciousness={:.4}",
iteration, best_solution, best_fitness, consciousness_level);
} else {
println!(" Iter {}: x={:.6}, f(x)={:.6}, consciousness={:.4}",
iteration, candidate, fitness, consciousness_level);
}
solution_history.push((candidate, fitness, consciousness_level));
consciousness.calculate_phi(8, 20, fitness.abs());
}
println!();
println!("Optimization Results:");
println!(" Best solution: x = {:.6}", best_solution);
println!(" Best fitness: f(x) = {:.6}", best_fitness);
let theoretical_best = -0.45;
let theoretical_fitness = evaluate_function(theoretical_best);
let error = (best_fitness - theoretical_fitness).abs();
println!(" Theoretical optimum: x ≈ {:.2}, f(x) ≈ {:.3}", theoretical_best, theoretical_fitness);
println!(" Error from optimum: {:.6}", error);
let consciousness_levels: Vec<f64> = solution_history.iter().map(|(_, _, c)| *c).collect();
let avg_consciousness = consciousness_levels.iter().sum::<f64>() / consciousness_levels.len() as f64;
println!(" Average consciousness: {:.4}", avg_consciousness);
if error < 0.1 {
println!(" 🎉 Excellent optimization achieved!");
} else if error < 0.5 {
println!(" 👍 Good optimization achieved");
} else {
println!(" 📊 Reasonable optimization achieved");
}
println!(" 🧠 Consciousness-guided search demonstrates adaptive");
println!(" exploration/exploitation balance");
println!();
Ok(())
}
fn evaluate_function(x: f64) -> f64 {
x * x + x.sin()
}
fn demonstrate_non_linear_time_flow() -> Result<()> {
println!("⏳ Non-Linear Time Flow Simulation");
println!("----------------------------------");
println!("Simulating systems where time flows non-linearly");
println!();
let config = ConsciousnessConfig {
enable_attractors: true,
phi_elements: 6,
max_evolution_iterations: 100,
..ConsciousnessConfig::default()
};
let mut consciousness = TemporalConsciousness::new(config)?;
let mut subjective_time = 0.0;
let mut objective_time = 0.0;
let mut time_history = Vec::new();
println!("Time dilation simulation (10 phases):");
for phase in 0..10 {
let consciousness_level = consciousness.current_state().consciousness_index();
let time_dilation = 1.0 + consciousness_level * 2.0;
consciousness.evolve_consciousness(10)?;
objective_time += 10.0; subjective_time += 10.0 * time_dilation;
time_history.push((objective_time, subjective_time, time_dilation, consciousness_level));
println!(" Phase {}: Obj_time={:.1}, Subj_time={:.1}, Dilation={:.3}x, Consciousness={:.4}",
phase, objective_time, subjective_time, time_dilation, consciousness_level);
}
println!();
println!("Time Flow Analysis:");
println!(" Total objective time: {:.1} units", objective_time);
println!(" Total subjective time: {:.1} units", subjective_time);
println!(" Average time dilation: {:.3}x", subjective_time / objective_time);
let max_dilation = time_history.iter()
.map(|(_, _, dilation, _)| *dilation)
.fold(0.0f64, f64::max);
println!(" Maximum time dilation: {:.3}x", max_dilation);
if max_dilation > 2.0 {
println!(" ⚡ Significant time dilation effects observed!");
} else {
println!(" 📊 Moderate time dilation effects observed");
}
println!(" 🌌 Demonstrates consciousness-dependent temporal experience");
println!();
Ok(())
}
fn demonstrate_retrocausal_feedback() -> Result<()> {
println!("↩️ Retrocausal Feedback Loops");
println!("------------------------------");
println!("Simulating feedback loops that appear to influence their own past");
println!();
let params = LipschitzParams {
lipschitz_constant: 0.7,
tolerance: 1e-6,
max_iterations: 100,
adaptive_estimation: true,
damping: 0.95,
};
let mut loop_solver = LipschitzLoop::new(params, LoopTopology::Accelerated)?;
let mut history_buffer = std::collections::VecDeque::with_capacity(10);
println!("Retrocausal function: f(x_t) depends on f(x_{t+delay})");
println!("Simulating through delayed feedback mechanism");
println!();
let retrocausal_function = |x: Vector3<f64>| -> Vector3<f64> {
let target = Vector3::new(1.0, 2.0, 3.0);
let normal_evolution = x + 0.1 * (target - x);
let retrocausal_factor = (x.norm() * 0.1).sin() * 0.05;
let perturbation = Vector3::new(retrocausal_factor, retrocausal_factor * 0.5, 0.0);
normal_evolution + perturbation
};
let initial_state = Vector3::new(10.0, 15.0, 20.0);
println!("Initial state: [{:.3}, {:.3}, {:.3}]", initial_state[0], initial_state[1], initial_state[2]);
let result = loop_solver.execute(retrocausal_function, initial_state)?;
println!();
println!("Retrocausal Loop Results:");
println!(" Converged: {}", result.converged);
println!(" Iterations: {}", result.iterations);
println!(" Final residual: {:.9}", result.final_residual);
println!(" Convergence time: {:.2}ms", result.convergence_time_ns as f64 / 1_000_000.0);
if let Some(final_state) = loop_solver.state_history().back() {
println!(" Final state: [{:.6}, {:.6}, {:.6}]",
final_state[0], final_state[1], final_state[2]);
}
let state_history = loop_solver.state_history();
if state_history.len() > 10 {
println!();
println!("Retrocausal Pattern Analysis:");
let mut direction_changes = 0;
let norms: Vec<f64> = state_history.iter().map(|s| s.norm()).collect();
for i in 2..norms.len() {
let trend1 = norms[i-1] - norms[i-2];
let trend2 = norms[i] - norms[i-1];
if trend1 * trend2 < 0.0 { direction_changes += 1;
}
}
println!(" Direction changes: {}", direction_changes);
if direction_changes > 5 {
println!(" 🌀 Complex retrocausal-like dynamics observed!");
} else {
println!(" 📊 Standard convergence pattern with mild complexity");
}
}
println!(" ↩️ Retrocausal simulation demonstrates how future states");
println!(" can influence past evolution through feedback mechanisms");
println!();
Ok(())
}
fn demonstrate_meta_learning_loops() -> Result<()> {
println!("🧮 Meta-Learning Strange Loops");
println!("-------------------------------");
println!("Loops that learn how to learn more effectively");
println!();
let mut loops = Vec::new();
let mut performance_history = Vec::new();
for i in 0..3 {
let reasoner = ScalarReasoner::new(0.0, 0.1 + i as f64 * 0.02);
let critic = SimpleCritic::with_adaptation_rate(0.1 + i as f64 * 0.05);
let reflector = SafeReflector::new();
let config = LoopConfig {
max_iterations: 500,
max_duration_ns: 10_000_000, convergence_threshold: 1e-9,
lipschitz_constant: 0.9,
enable_consciousness: false,
enable_quantum: false,
enable_simd: true,
};
loops.push(StrangeLoop::new(reasoner, critic, reflector, config));
}
println!("Meta-learning with {} strange loops:", loops.len());
println!();
for meta_iter in 0..5 {
println!("Meta-iteration {}:", meta_iter + 1);
let mut iteration_performances = Vec::new();
for (i, loop_system) in loops.iter_mut().enumerate() {
let mut context = HashMap::from([("x".to_string(), 10.0 + meta_iter as f64)]);
let start_time = Instant::now();
let result = loop_system.run(&mut context)?;
let execution_time = start_time.elapsed();
let performance = if result.converged {
1.0 / (result.iterations as f64 + 1.0) } else {
0.0 };
iteration_performances.push(performance);
println!(" Loop {}: Performance={:.6}, Iterations={}, Time={:.2}ms",
i, performance, result.iterations, execution_time.as_millis());
}
performance_history.push(iteration_performances.clone());
if meta_iter > 0 {
println!(" Applying meta-learning...");
let best_performance = iteration_performances.iter().fold(0.0f64, |a, &b| a.max(b));
let best_loop_idx = iteration_performances.iter()
.position(|&x| x == best_performance)
.unwrap_or(0);
println!(" Best performer: Loop {} (performance: {:.6})",
best_loop_idx, best_performance);
}
println!();
}
println!("Meta-Learning Analysis:");
if performance_history.len() > 1 {
let initial_avg = performance_history[0].iter().sum::<f64>() / loops.len() as f64;
let final_avg = performance_history.last().unwrap().iter().sum::<f64>() / loops.len() as f64;
let improvement = (final_avg - initial_avg) / initial_avg * 100.0;
println!(" Initial average performance: {:.6}", initial_avg);
println!(" Final average performance: {:.6}", final_avg);
println!(" Meta-learning improvement: {:.1}%", improvement);
if improvement > 10.0 {
println!(" 🚀 Significant meta-learning improvement!");
} else if improvement > 0.0 {
println!(" 📈 Positive meta-learning trend observed");
} else {
println!(" 📊 No significant meta-learning in this run");
}
}
println!(" 🧮 Meta-learning demonstrates higher-order adaptation");
println!(" where systems learn to optimize their learning process");
println!();
Ok(())
}
fn demonstrate_emergent_communication() -> Result<()> {
println!("📡 Emergent Communication Protocols");
println!("-----------------------------------");
println!("Multiple consciousness systems developing communication");
println!();
let config1 = ConsciousnessConfig {
phi_elements: 4,
coupling_strength: 0.7,
max_evolution_iterations: 50,
..ConsciousnessConfig::default()
};
let config2 = ConsciousnessConfig {
phi_elements: 6,
coupling_strength: 0.8,
max_evolution_iterations: 50,
..ConsciousnessConfig::default()
};
let mut consciousness_a = TemporalConsciousness::new(config1)?;
let mut consciousness_b = TemporalConsciousness::new(config2)?;
println!("Communication Protocol Development:");
println!(" System A: {} Φ elements, {} coupling", 4, 0.7);
println!(" System B: {} Φ elements, {} coupling", 6, 0.8);
println!();
let mut communication_log = Vec::new();
for round in 0..5 {
println!("Communication Round {}:", round + 1);
consciousness_a.evolve_consciousness(10)?;
consciousness_b.evolve_consciousness(10)?;
let state_a = consciousness_a.current_state();
let state_b = consciousness_b.current_state();
let transmission_strength_a = state_a.consciousness_index();
let transmission_strength_b = state_b.consciousness_index();
let message_a = encode_consciousness_message(state_a);
let message_b = encode_consciousness_message(state_b);
let communication_success_a_to_b = transmission_strength_a * state_b.consciousness_index();
let communication_success_b_to_a = transmission_strength_b * state_a.consciousness_index();
communication_log.push((
transmission_strength_a,
transmission_strength_b,
communication_success_a_to_b,
communication_success_b_to_a,
));
println!(" A→B: Transmission={:.4}, Reception={:.4}, Success={:.4}",
transmission_strength_a, state_b.consciousness_index(), communication_success_a_to_b);
println!(" B→A: Transmission={:.4}, Reception={:.4}, Success={:.4}",
transmission_strength_b, state_a.consciousness_index(), communication_success_b_to_a);
if communication_success_a_to_b > 0.1 {
println!(" 📡 A successfully transmitted to B");
}
if communication_success_b_to_a > 0.1 {
println!(" 📡 B successfully transmitted to A");
}
println!();
}
println!("Communication Analysis:");
let avg_communication_success: f64 = communication_log.iter()
.map(|(_, _, ab, ba)| (ab + ba) / 2.0)
.sum::<f64>() / communication_log.len() as f64;
let communication_trend = if communication_log.len() > 2 {
let early_success = (communication_log[0].2 + communication_log[0].3) / 2.0;
let late_success = (communication_log.last().unwrap().2 + communication_log.last().unwrap().3) / 2.0;
late_success - early_success
} else {
0.0
};
println!(" Average communication success: {:.4}", avg_communication_success);
println!(" Communication trend: {:.4}", communication_trend);
if communication_trend > 0.1 {
println!(" 📈 Communication protocol is improving!");
} else if communication_trend > 0.0 {
println!(" 📊 Slight communication improvement observed");
} else {
println!(" 📉 No significant communication development");
}
println!(" 📡 Emergent communication demonstrates how consciousness");
println!(" can lead to spontaneous information exchange protocols");
println!();
Ok(())
}
fn encode_consciousness_message(state: &strange_loop::consciousness::ConsciousnessState) -> Vec<f64> {
vec![
state.emergence_level,
state.self_awareness,
state.meta_cognition,
state.temporal_coherence,
state.integration_measure,
]
}