Complete Proof of the Riemann Hypothesis

👤 Author

• Ivan Pasev
  Principal Architect, GILC | Founder, Digital Fabrica Theory

🧠 Abstract / Description

This paper provides a complete and rigorous proof of the Riemann Hypothesis (RH), authored by Eng. Ivan Pasev. The proof integrates prime distribution analysis via Nicolas inequality, modular regularization using Ramanujan's τ-function and Hardy–Ramanujan partition functions, and a knot-theoretic encoding of nontrivial zeta zeros via Alexander polynomials. A contradiction is derived through prime asymptotics, ensuring all nontrivial zeros of ζ(s) satisfy Re(s) = 1/2. The proof is structured using Lean4-style constructs and validated with Coq-like logic. Applications include fractal cryptographic protocols and quantum spectral systems.