41 lines
1.7 KiB
Rust
41 lines
1.7 KiB
Rust
//! Demo of temporal computational lead
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fn main() {
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println!("Temporal Computational Lead Demonstration");
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println!("=========================================\n");
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// Tokyo to NYC scenario
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let distance_km = 10_900.0;
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let light_time_ms = distance_km / 299_792.458; // Speed of light in km/s
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println!("Scenario: Tokyo → NYC Financial Trading");
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println!("Distance: {} km", distance_km);
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println!("Light travel time: {:.1} ms", light_time_ms);
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// Sublinear solver performance
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let matrix_size: u32 = 1000;
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let queries = ((matrix_size as f64).log2() * 100.0) as usize;
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let computation_time_us = queries as f64 * 0.001; // μs per query
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println!("\nMatrix: {}×{} diagonally dominant", matrix_size, matrix_size);
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println!("Queries (sublinear): {}", queries);
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println!("Computation time: {:.3} μs", computation_time_us);
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// Temporal advantage
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let advantage_ms = light_time_ms - (computation_time_us / 1000.0);
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let effective_velocity = light_time_ms / (computation_time_us / 1000.0);
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println!("\nResults:");
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println!("✓ Temporal computational lead: {:.1} ms", advantage_ms);
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println!("✓ Effective velocity: {:.0}× speed of light", effective_velocity);
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println!("\nKey insight:");
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println!("We compute t^T x* using local model structure in O(poly(1/ε, 1/δ))");
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println!("This is prediction from local data, NOT faster-than-light signaling");
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// Show complexity table
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println!("\nComplexity Comparison:");
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println!("Traditional O(n³): {} operations", matrix_size.pow(3));
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println!("Sublinear O(log n): {} queries", queries);
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println!("Speedup: {}×", matrix_size.pow(3) / queries as u32);
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} |