CFNT5B-CP: Conservative Framework for Non-Trivial 5-Band Composite Perturbation

Overview

The CFNT5B-CP (Core-Fibonacci-Number Theoretic-5 Banded-Complex Perturbations) operator framework achieves what previous attempts could not: simultaneous spectral accuracy and authentic random matrix statistics. This repository contains the complete implementation, data, and documentation for reproducing all results from our paper.

Paper: 010930 010930August_The_CFNT5B_CP_Operator_Empirical_Investigation.pdf (Draft Version - August 2025)

Repository Contents

📁 Code

• 16JulyPublicationRefactor.ipynb - Complete computational framework with 14 analysis cells:
  • Cell A: Baseline matrix construction demonstration
  • Cell B: Perturbation framework (6+ hour runtime - pre-computed data provided)
  • Cell #1: Conservative hybrid analysis (RUN THIS FIRST)
  • Cells #2-12: Analysis modules generating all figures and results

📊 Data Files

• Zeta Zeros:

  • combined_zeros_1.txt (10M zeros available, first 30K used in experiments)

• Unperturbed Eigenvalues:

  • eigenvals_N5000_comprehensive_20250609_150741.txt (5K scale)
  • eigenvals_N10000_comprehensive_20250609_151458.txt (10K scale)
  • eigenvals_N15000_comprehensive_20250609_153652.txt (15K scale)
  • eigenvals_N20000_comprehensive_20250609_162546.txt (20K scale)
  • eigenvals_N25000_N25K_comprehensive_20250609_185007.txt (25K scale)

• Perturbed Eigenvalues:

  • perturbed_eigenvals_5K_strength3.2.txt (5K scale, strength 3.2)
  • perturbed_eigenvals_10K_strength5.4.txt (10K scale, strength 5.4)
  • perturbed_eigenvals_15K_strength9.6.txt (15K scale, strength 9.6)
  • perturbed_eigenvals_20K_strength12.8.txt (20K scale, strength 12.8)
  • perturbed_eigenvals_25K_strength14.0.txt (25K scale, strength 14.0)

Quick Start

1. Clone this repository:

   git clone https://github.com/JohnNDvorak/CFNT5B-CP-Analysis.git
   cd CFNT5B-CP-Analysis