Applying The Principles of Organized Complexity To Open Problems in Mathematics and Physics.

Okolo, P. H. (2025). A Dynamical Systems Approach to the Riemann Hypothesis.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15048609

Okolo, H. P. (2025). Global Regularity for the Three-Dimensional Navier-Stokes Equations via Structured Dissipation.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15062067

Okolo, H. P. (2025). A Dynamical Systems Proof of the Riemann Hypothesis and Its Unified Implications for Particle Physics, Cosmology, and Biochemical Complexity.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15048668

Okolo, H. P. (2025). A Dynamical Systems Approach to Solving NP-Complete Problems in Polynomial Time.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15066569

Okolo, P. H. (2025). An Approach of the Riemann Hypothesis via Integral Analysis of the Logarithmic Derivative of the Zeta Function.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15043024

Okolo, H. P. (2025). Chaos, Complexity, and the Cosmic Prescription of Life: A Unified Framework from Fundamental Physics to Habitable Worlds.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.14954804

Okolo, H. P. (2025). Organized Complexity and the Law of 6.24: From Quantum Action to Room-Temperature Superconductivity.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.14926987

Okolo, H. P., (2025). Organized Complexity As The Taming Of Chaos: From 666 Emerges 6.24.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.14926962

Okolo, H. P. (2025). Unifying Chaos, Primes, and Quantum Gravity: A Fluidic Model of Organized Complexity Deriving LIGO GWs, Planck CMB Fluctuations, and Planck-Scale Signatures.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.14919607

Okolo, H. P., (2025). A Unified Lattice Theory of Particle Masses and Biochemical Complexity: The Sixfold Oneness of an Infinitely Unstable Fluid.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.14920654

Okolo, H. P. (2025). A Dynamical Systems Approach to 3-SAT Using Zeta and L-Function Zeros: An Interdisciplinary Perspective.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15073561

Okolo, H. P. (2025). A Symmetry-Enforced Proof of the Yang-Mills Mass Gap.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15073742

Okolo, H. P. (2025). Organized Complexity: A Dynamical Systems Approach with an Application to the Hodge Conjecture.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15086393

Okolo, H. P. (2025). A Proof of the Birch and Swinnerton-Dyer Conjecture.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15103640

Okolo, H. P. (2025). Organized Complexity: A Framework for Encoding Mathematical Structures and their Complexity into Prime Patterns.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15105666

Okolo, H. P. (2025). A Proof of the Twin Prime Conjecture Under the Assumption of the Riemann Hypothesis.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15109155

Okolo, H. P. (2025). An Intuitive Journey to My Birch and Swinnerton-Dyer Conjecture Proof.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15109239

Okolo, H. P. (2025). From Number Theory to Carbon-12: A Lattice Model for Biochemical Complexity.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15110068

Okolo, H. P. (2025). Sixfold Symmetry in Biomolecules: From Insulin to Eumelanins.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15110076

Okolo, H. P. (2025). Light Capture and Photoprotection: The Role of Eumelanins in Epidermal Biochemistry.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15110082

Okolo, H. P. (2025). A Proof of Goldbach’s Conjecture Under the Assumption of the Generalized Riemann Hypothesis.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15122450

Okolo, H. P. (2025). A Proof of the Collatz Conjecture.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15127328

Okolo, H. P. (2025). A Proof of the ABC Conjecture via Dynamical Systems and Sieve Theory.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15133575

 

Okolo, H. P. (2025). A Proof of Legendre’s Conjecture Under the Assumption of the Riemann Hypothesis.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15147842

Okolo, H. P. (2025). A Dynamical Systems Proof of the Elliott-Halberstam Conjecture under the Riemann Hypothesis.

The Five Principles of Organized Complexity. 

https://doi.org/10.5281/zenodo.15161424

Okolo, H. P. (2025). A Proof of Polignac’s Conjecture Under the Riemann Hypothesis.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15162765

Okolo, H. P. (2025). Organized Complexity and the Derivation of Some Important Quantum Physical Constants from First Principles.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15177333

Okolo, H. P. (2025). A Divisor Lattice Model for Fundamental Forces and Cosmological Implications.

The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15229811