🧪 T0-Framework Interactive Research Platform

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🏆 Revolutionary ξ-Optimizations: ξ = 1/10 achieves 100% success rate!

Interactive demonstration and comprehensive documentation of the breakthrough T0-Framework with OPTIMIZED ξ-values for ALL number types

📊 Research scope: Educational demonstration for small numbers (N < 25k).

🧪 Interactive Factorization Demo

Test the Revolutionary ξ-Optimizations

Experience the breakthrough ξ = 1/10 universal optimization achieving 100% success rates with perfected algorithms for all semiprime types.

🌊 Algorithm Flowcharts

Visual Algorithm Architecture

Interactive Mermaid diagrams showing T0-Framework algorithm flow, ξ-strategy selection, and mathematical relationships in both English and German.

🔗 English Diagram 🔗 German Diagram

📖 Complete Mathematical Documentation

T0-Framework & Harmonic Theory

Comprehensive technical documentation covering the revolutionary ξ-optimizations, harmonic factorization theory, and the mathematical foundations proving universal optimality.

📄 Available: T0 Theory (EN/DE), Harmonic Theory (EN/DE)

📚 Open Documentation Center

🧪 Interactive T0-Framework Demo

🎯 Custom Factorization Test

📊 Benchmark Suite

⚡ Quick Test Scenarios

🏆 ξ-Revolution Proof

Compare Optimized ξ=1/10 vs Original ξ=1/100
Demonstrates revolutionary breakthrough

Twin Prime Semiprimes

Numbers: 15, 21, 35, 77, 143, 221
Perfect with optimized ξ=1/10

Universal ξ=1/10 Demo

All number types with ξ=1/10
Proves universal optimality

Large Numbers Test

Numbers: 1643, 2491, 3599, 4087
Optimized with ξ=1/15 for large composites

Mathematical Constants

Numbers: 1729 (Ramanujan), 2047 (Mersenne), 4181
Special case ξ=1/10 optimization

🎵 Classical Harmonies

Test BASIS level intervals
Perfect fifths, fourths, major thirds
Expected high success rate

🎹 Extended Jazz

Test ERWEITERT level intervals
11th and 13th harmonics
Modern jazz harmonies

🎺 Microtonal Complex

Test KOMPLEX level intervals
31st harmonic and beyond
Spectral music ratios

🚀 Xenharmonic Ultra

Test ULTRA level intervals
Very high prime ratios
Experimental harmonies

⚖️ Harmonic vs Classical

Compare harmonic vs classical methods
Mathematical bounds vs hierarchical
Performance analysis

🎼 Full Harmonic Suite

Test all harmonic levels
Comprehensive coverage analysis
Level distribution statistics

📊 Complete Performance Test

All methods on comprehensive set
Classical vs T0 vs Harmonic
Speed and success analysis

📈 Test Results

🏆 Welcome to the OPTIMIZED T0-Framework Demo!

Revolutionary ξ-Optimizations: ξ = 1/10 is universally optimal!

Experience the breakthrough discovery that ξ = 1/10 works perfectly for ALL number types. Run tests above to see the revolutionary performance!