A Fractal-Holographic Representation of the Riemann Zeta Function via a Self-Similar Operator — Part II: Full Hard-Analysis Proofs, Fredholm Determinant Study, High-Resolution Spectral Diagonalization and Variational Principle

Version 5.2 (Final Companion Paper to V4.4) — 31 March 2026 Full hard-analysis proofs, Fredholm determinant study, high-resolution spectral diagonalization (N=4096, error < 10^{-14}) and variational principle proving that d_H(φ) = 1/2 is the unique energy minimizer of the natural fractal energy functional. Companion to Version 4.4: https://zenodo.org/records/19325293 (DOI 10.5281/zenodo.19325293) This record contains: - Full PDF and LaTeX source of V5.2 - Python script to regenerate all figures - All high-resolution figures (V4.4 + energy landscape) - V4.4 .tex for completeness