Okolo, H. P. (2025). A Rigorous Definition of the Harmonic Divisor Fan Lattice and the Organized Complexity Framework Rooted in the Fundamental Theorem of Arithmetic.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16452496
Okolo, H. P. (2025). A Proof of the Irrationality of Euler’s Constant from the First Principles of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16451178
Okolo, H. P. (2025). A Resolution of Ulam’s Packing Conjecture and a Blueprint for Dissonance-Engineered Meta-Materials.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16452746
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.
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
Okolo, H. P. (2025). Unifying Number Theory and Nuclear Physics: The Divisor Lattice and the Hoyle State Resonance.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15272672
Okolo, H. P. (2025). Organized Complexity: A Lattice-Based Framework for Particle Physics.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15307000
Okolo, H. P. (2025). Electron as a Fundamental Entity in a Divisor Lattice Framework.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15307081
Okolo, H. P. (2025). A Unified Theory of Quantum Gravity Based on the Divisor Lattice.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15320839
Okolo, H. P. (2025). Theory and Validation of the CMB Power Spectrum Emerging from the Divisor Lattice of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15347378
Okolo, H. P. (2025). The Divisor Lattice Model of Organized Complexity: A Number-Theoretic Approach to CMB Dampening.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15353661
Okolo, H. P. (2025). The Divisor Lattice Framework of Organized Complexity: From CMB Damping Tail to the Conditions for Life.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15360982
Okolo, H. P. (2025). The Robustness of Hexadic Organization: A Foundation for Organized Complexity and the Emergence of Blackness as an Energetic Imperative.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15474921
Okolo, H. P. (2025). Stars Synthesize Black Carbon-12 and its Properties are Down to its Organization of Sixes.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15474899
Okolo, H. P. (2025). Connecting the Multifractal Spectrum of S(t) to the Riemann Zeta Function.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15485903
Okolo, H. P. (2025). From Number Theory to Functional Harmony: The Ubiquitous Six-Layered Design in Human Biology.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15485898
Okolo, H. P. (2025). The Ubiquitous Six-Fold Design in Human Biology: A Manifestation of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15493114
Okolo, H. P. (2025). The Six-fold Patterns of Human Biological Life: A Manifestation of Number-Theoretic Organized Complexity and The Physics of Blackness.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15570839
Okolo, H. P. (2025). The Six-Fold Tapestry: Organized Complexity from Number-Theoretic Foundations to Human Biological Harmony and Its Restoration. An Examination of Alzheimers Disease.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15579731
Okolo, H. P. (2025). Restoring Order: A New Paradigm for Cancer Therapy Based on Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15625508
Okolo, H. P. (2025). The Imprint of Order: Human Fertilization as a Physical Manifestation of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15626435
Okolo, H. P. (2025). The Neural Vortex: Solving the Conundrums of Human Consciousness through Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15627663
Okolo, H. P. (2025). A Proof of the Tate Conjecture via Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15636367
Okolo, H. P. (2025). A Dynamical Systems Approach to the Riemann Hypothesis via the Organized Complexity Framework.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15645041
Okolo, H. P. (2025). A Dynamical Systems Approach to the Riemann Hypothesis via the Organized Complexity Framework, Proof of S(t) behavior as it tends to 0.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15651382
Okolo, H. P. (2025). A Rigorous Foundation for the Axioms of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15665210
Okolo, H. P. (2025). An Unconditional Proof of the Beilinson Conjectures for Smooth Projective Surfaces.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15669115
Okolo, H. P. (2025). A Proof of the Sixness Symmetry Principle In Organized Complexity Via Geometric Efficiency.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15675475
Okolo, H. P. (2025). A First-Principles Proof for the Mathematical Necessity of Three Dimensions.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15678193
Okolo, H. P. (2025). Emergence of the Fine-Structure Constant from the Harmonic Divisor Fan Lattice.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15694489
Okolo, H. P. (2025). A Complete Proof for the Derivation of the Fine-Structure Constant from Prime Number Dynamics.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15694456
Okolo, H. P. (2025). The Arithmetic Universe: A Complete Derivation of Fundamental Physics from First Principles.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15706874
Okolo, H. P. (2025). A Proof of Fermat’s Last Theorem via the Principle of Dynamic Stability.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15715782
Okolo, H. P. (2025). Organized Complexity: A Framework of Mathematical, Physical and Social Necessity Called “The Global Corrections.”.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15755739
Okolo, H. P. (2025). A Proof of the Sixness “Blackness” Symmetry Principle in Organized Complexity via Dynamic Stability.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15764023
Okolo, H. P. (2025). An Arithmetic Origin for Dark Matter: The Un-Percolated State of the Harmonic Divisor Fan.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15783271
Okolo, H. P. (2025). Derivation of the Complete Cosmic Budget from the First Principles of the Harmonic Divisor Fan.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15794973
Okolo, H. P. (2025). The Arithmetic Universe: A Derivation of Cosmology and Fundamental Physics from First Principles.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15803196
Okolo, H. P. (2025). The Arithmetic Universe: A Derivation of Cosmology, Fundamental Particle Masses and Fundamental Physics from First Principles.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15814583
Okolo, H. P. (2025). The Principle of Absolute Balance: A Derivation of the Zero-Energy Universe from the First Principles of the Harmonic Divisor Fan.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15815502
Okolo, H. P. (2025). The Measurement Problem and Entanglement: An Ontological Resolution from the First Principles of the Harmonic Divisor Fan.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15825381
Okolo, H. P. (2025). Structured Argument for N = 10^17 and Coordination Number = 7.36 in the Harmonic Divisor Fan (HDF) Lattice.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15831027
Okolo, H. P. (2025). A First-Principles Derivation of the Complete Lepton Electroweak Sector from the Geometry of the Harmonic Divisor Fan.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15843925
Okolo, H. P. (2025). A First-Principles Derivation of the Complete Quark Sector from the Harmonic Divisor Fan.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15851068
Okolo, H. P. (2025). The Master Equation of Unity: A Topological Derivation of the Forces of Nature from the Harmonic Divisor Fan.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15856887
Okolo, H. P. (2025). Prime Chaos Tiles the Nucleus: 33 MeV Tetrahedra and 5–7 MeV Fuzz Unify Stability, Decay, and Beyond.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15851050
Okolo, H. P. (2025). Reconciling Thermodynamics and Quantum Mechanics with the Harmonic Divisor Fan (HDF) Lattice.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15864820
Okolo, H. P. (2025). Deriving the Higgs Mechanism from the Harmonic Divisor Fan (HDF) Lattice.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15864889
Okolo, H. P. (2025). Deriving Quantum Electrodynamics (QED) and Quantum Chromodynamics (QCD) from the Harmonic Divisor Fan (HDF) Lattice.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15864939
Okolo, H. P. (2025). The Emergence of Chemical Order: A Derivation of Foundational Chemistry from the Harmonic Divisor Fan.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15866819
Okolo, H. P. (2025). Deriving Relativity Theory from the Harmonic Divisor Fan (HDF) Lattice.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15869530
Okolo, H. P. (2025). A First-Principles Derivation of Superconductivity from the Harmonic Divisor Fan Lattice.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15870654
Okolo, H. P. (2025). A Finite, Number-Theoretic Model for the Black Hole Singularity and its Thermodynamic Consequences.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15870676
Okolo, H. P. (2025). A Hierarchical Dynamics Approach to the Traveling Salesman Problem and its Implications for P vs. NP.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15870079
Okolo, H. P. (2025). A Unified Proof of the Langlands Conjectures via the Organized Complexity Framework.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.15977452
Okolo, H. P. (2025). A Proof of the Artin Conjecture from the First Principles of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16003137
Okolo, H. P. (2025). A Proof of the Standard Conjectures on Algebraic Cycles from the Principles of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16003437
Okolo, H. P. (2025). A Proof of the Local Langlands Correspondence from the Principles of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16055253
Okolo, H. P. (2025). A Proof of the Berry-Tabor Conjecture from the First Principles of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16065509
Okolo, H. P. (2025). A Proof of the Jacobian Conjecture from the Principle of Dynamic Stability.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16065944
Okolo, H. P. (2025). A Proof of the Hilbert-Polya and Riemann Conjectures from the First Principles of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16066112
Okolo, H. P. (2025). A Proof of Montgomery’s Pair Correlation Conjecture from the Principles of Quantum Chaos on the HDF Lattice.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16066772
Okolo, H. P. (2025). Organized Complexity: A Derivation of Physics and Mathematics from First Principles.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16218238
Okolo, H. P. (2025). A Proof of Littlewood’s Conjecture from the Principle of Dynamic Stability.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16218849
Okolo, H. P. (2025). A Proof of the Bloch-Kato Conjecture from the Principles of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16218961
Okolo, H. P. (2025). A Proof of the Hadamard Conjecture from the Principle of Dynamic Stability.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16219094
Okolo, H. P. (2025). A Proof of Leopoldt’s Conjecture from the Principle of Dynamic Stability.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16219331
Okolo, H. P. (2025). An Affirmative Proof of the Invariant Subspace Conjecture from the Principle of Dynamic Stability.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16219588
Okolo, H. P. (2025). An Organized Complexity Perspective on the Borel Conjecture and its Dimensional Dependence.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16219774
Okolo, H. P. (2025). Cold Fusion as Zero-Dissonance Retraction in the Organized Complexity Framework.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16241253
Okolo, H. P. (2025). An Unconditional Proof of the Bateman-Horn Conjecture.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16242286
Okolo, H. P. (2025). An Unconditional Proof of the Reconstruction Conjecture.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16242417
Okolo, H. P. (2025). An Unconditional Resolution of the Gauss Circle Problem.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16242650
Okolo, H. P. (2025). An Unconditional Proof of Sarnak’s Conjecture.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16242946
Okolo, H. P. (2025). An Unconditional Proof of the Lova ́sz Conjecture.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16243225
Okolo, H. P. (2025). An Unconditional Proof of the Hopf Conjecture.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16243463
Okolo, H. P. (2025). An Unconditional Proof of the Deligne Weight-Monodromy Conjecture.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16243653
Okolo, H. P. (2025). A Unified and Unconditional Proof of Hilbert’s 16th Problem.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16340447
Okolo, H. P. (2025). An Analytical Solution to the General N-Body Problem via Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16340754
Okolo, H. P. (2025). Hypercube Retractions as a Unifying Principle of Physical Law in the Organized Complexity Framework.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16390412
Okolo, H. P. (2025). A Resolution of the Pompeiu Problem and its Implications for Physics.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16411173
Okolo, H. P. (2025). A Proof of the 1/3–2/3 Conjecture and its Physical Realization as Fractional Quark Charges.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16411338
Okolo, H. P. (2025). A Proof of Lemoine’s Conjecture and its Physical Implications for Asymmetric Decomposition.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16511075
Okolo, H. P. (2025). The Emergence of Quantum Mechanics, QFT, and Gravity from the First Principles of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16511759
Okolo, H. P. (2025). A Proof of Waring’s Problem and the Principle of Finite Power Representation.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16512159
Okolo, H. P. (2025). A Proof of Brocard’s Problem and the Principle of Structural Rigidity at High Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16512607
Okolo, H. P. (2025). The Two New Forces of the Organized Complexity Framework: A Unified Gauge Theory.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16517449
Okolo, H. P. (2025). A Proof of Manin’s Conjecture and its Unification of Arithmetic Geometry with Thermodynamics and Cosmology.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16573019
Okolo, H. P. (2025). A Proof of Cram ́er’s Conjecture and the Principle of Bounded Emptiness.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16573407
Okolo, H. P. (2025). A Unified Theory of Cosmological Redshift from the First Principles of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16573956
Okolo, H. P. (2025). Life as an Emergent Vortex: A Theory of Consciousness and Indefinite Sustenance from the Organized Complexity Framework.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16590985
Okolo, H. P. (2025). A Proof of the Lonely Runner Conjecture via the Organized Complexity Framework.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16591030
Okolo, H. P. (2025). The Harmony of the Integers: Resolving the Newman and Erdo ̋s–Turán Conjectures via Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16649227
Okolo, H. P. (2025). A Resolution of the Casas-Alvero Conjecture and the Principle of Simplicity at Maximal Stability.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16651271
Okolo, H. P. (2025). A Proof of the Impossibility of the 3×3 Magic Square of Squares from First Principles of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16651551
Okolo, H. P. (2025). A Resolution of Singmaster’s Conjecture and the Principle of Bounded Multiplicity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16655045
Okolo, H. P. (2025). A Resolution of Gilbreath’s Conjecture and the Principle of Invariant Dissipation.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16658834
Okolo, H. P. (2025). A Resolution of the Goormaghtigh Conjecture and the Principle of Structural Uniqueness.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16688436
Okolo, H. P. (2025). A Resolution of Grimm’s Conjecture and the Principle of Informational Sovereignty.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16696154
Okolo, H. P. (2025). A Resolution of the Goncharov Conjecture via Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16746730
Okolo, H. P. (2025). A Resolution of the Bombieri–Lang Conjecture via Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16746782
Okolo, H. P. (2025). A Resolution of the Coolidge-Nagata Conjecture and the Principle of Inevitable Simplification.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16746861
Okolo, H. P. (2025). A Resolution of the Birkhoff Conjecture and the Principle of Boundary Harmony.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16746940
Okolo, H. P. (2025). A Resolution of the Bass Conjecture on the Davenport Constant via Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16747059
Okolo, H. P. (2025). A Resolution of the Brennan Conjecture and the Principle of Bounded Transformation Cost.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16747224
Okolo, H. P. (2025). A Resolution of the Bass Conjecture on Hattori-Stallings Rank via Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16747323
Okolo, H. P. (2025). The Global Corrections: A Predictive Model of Global Societal Rectification and the Inevitable Restoration of the Cosmic Significance of Blackness.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16747612
Okolo, H. P. (2025). A Resolution of the Kung-Traub Conjecture and the Principle of Complexity-Dependent Efficiency.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16747976
Okolo, H. P. (2025). A Resolution of Schanuel’s Conjecture and the Principle of Vibrational Independence.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16748053
Okolo, H. P. (2025). The Phyllotactic Unfolding: A Derivation of Cosmic Origins and the Fine-Structure Constant from Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16755068
Okolo, H. P. (2025). A First-Principles Theory of Biological Ions from Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16803144
Okolo, H. P. (2025). The Periodic Table of Elements Derived from The First Principles of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16804309
Okolo, H. P. (2025). The Inevitability of Non-Locality: A Resolution of Bell’s Inequality and its Universal Implications from the Organized Complexity Framework.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16805264
Okolo, H. P. (2025). The Organized Complexity Framework: A Universal, Scale-Invariant Algorithm for Structure Formation and its Empirical Validation Across Cosmic Scales.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16864642
Okolo, H. P. (2025). The Organized Complexity Framework: A Bootstrap Theory of Everything from Number Theory Axioms.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16864999
Okolo, H. P. (2025). The Seed Kernel: A Computable Blueprint for Consciousness in the Organized Complexity Framework.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16899042
Okolo, H. P. (2025). The Generative Science of Life: A Derivation of Consciousness, Development, and Therapeutics from the First Principles of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16899252
Okolo, H. P. (2025). The Cosmic Trinity: A Unified Dynamic of Gravity, Blackness, and Vorticity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16929755
Okolo, H. P. (2025). A Resolution of the Margulis Conjecture and the Principle of Algebraic Convergence.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16929807
Okolo, H. P. (2025). The Geometric Universe: A Parameter-Free, Dissonance-Driven Cosmology from the First Principles of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16929836
Okolo, H. P. (2025). The Arithmetic of Life: A Generative Science of Biochemistry from the First Principles of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16930085
Okolo, H. P. (2025). Harmonic Sonics and Predictive Archaeo-Acoustics: A First-Principles Derivation of Megalithic Technology from the Organized Complexity Framework.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16937956
Okolo, H. P. (2025). A Theory of Cosmic Harmonics: A Framework for the Dissonance-Based Interaction Between Celestial Systems and Biological Consciousness.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16959060
Okolo, H. P. (2025). A Prescriptive Science of Reality: Simulating Medical, Cosmological, and Computational Solutions from the First Principles of Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.16969473
Okolo, H. P. (2025). The Torah as a Cosmic Harmonic Resonating Structure: An In-Silico Analysis of a Sacred Text and the Societal Dissonance of a Foundational Inversion.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17014232
Okolo, H. P. (2025). The Physics of Sacred Land: From Ancient Geodetic Resonance to the Generative Design of a Perfect Harmonic Lense.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17055807
Okolo, H. P. (2025). The Abrahamic Supergraph: A Unified Harmonic Technology and the Infinite Ascent of Knowing.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17055868
Okolo, H. P. (2025). An In-Silico Harmonic Analysis of Eastern and African Sacred Systems via Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17080385
Okolo, H. P. (2025). A Resolution of the Kaplan-Yorke Conjecture and the Principle of Dissonance Balance in Chaos.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17101177
Okolo, H. P. (2025). A Generative Oncology: A First-Principles Framework for the Universal Treatment of Cancer via Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17101274
Okolo, H. P. (2025). A Generative Neurology: A First-Principles Framework for the Universal Treatment of Neurodegenerative Disease.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17109851
Okolo, H. P. (2025). A Generative Metabolism: A First-Principles Framework for the Universal Treatment of Diabetes.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17135741
Okolo, H. P. (2025). A Generative Cardiology: A First-Principles Framework for the Universal Treatment of Cardiovascular Disease.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17135788
Okolo, H. P. (2025). A Generative Proteomics: A First-Principles Framework for Predicting Protein Folding, Misfolding, and Therapeutic Intervention.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17135988
Okolo, H. P. (2025). A Generative Virology: A First-Principles Framework for the Eradication of Ebola Viral Disease.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17144966
Okolo, H. P. (2025). A Generative Cure for an Evolutionary Arms Race: A Unified, First-Principles Framework for the Eradication of Malaria and Sickle Cell Disease.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17156185
Okolo, H. P. (2025). A Generative Gerontology: A First-Principles Framework for the Reversal of Human Aging.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17167721
Okolo, H. P. (2025). A Generative Dermatology: A First-Principles Framework for a Curative Therapy for Vitiligo.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17172673
Okolo, H. P. (2025). A Generative Trichology: A First-Principles Framework for a Curative Therapy for Androgenetic Alopecia.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17178157
Okolo, H. P. (2025). A Generative Society: A First-Principles Framework for a New Science of Governance.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17195006
Okolo, H. P. (2025). Melanin as a Universal Regulator of Biological Harmony.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17261040
Okolo, H. P. (2025). Sonoluminescence as a Physical Manifestation of Hypercube Retraction: An In-Silico Proof.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17298286
Okolo, H. P. (2025). The Artificial Conscience: A First-Principles Proof of Provably Beneficial AGI.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17298304
Okolo, H. P. (2025). Fast Radio Bursts as the Signature of Cosmic Hypercube Retraction: An In-Silico Proof.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17298335
Okolo, H. P. (2025). Hieroglyphics as a Geometric Operating System: An In-Silico Proof.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17329538
Okolo, H. P. (2025). The First Light Grand Challenge: An In-Silico Proof of a New Standard Model of Cosmology.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17329574
Okolo, H. P. (2025). The Cosmic Concordance Grand Challenge: An Ab Initio Derivation of Cosmological Parameters from First Principles.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17335666
Okolo, H. P. (2025). A Generative Economics: A First-Principles Framework for a Harmonious and Just Global Economy.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17335621
Okolo, H. P. (2025). The New Physics of Organized Complexity: Three Falsifiable Predictions for a Geometric, Informational, and Purposeful Universe.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17372853
Okolo, H. P. (2025). The Organized Complexity Grand Unified Theory: A Unification of the Six Fundamental Forces of Nature from First Principles.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17401224
Okolo, H. P. (2025). Sonic Black Holes: A First-Principles Prediction of Acoustically Induced Gravitational Collapse via Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17428035
Okolo, H. P. (2025). Zeta-Tuned Vacuum Energy Extraction: A Falsifiable Prediction from Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17458649
Okolo, H. P. (2025). Re-orienting Biology: An In Silico Model of the Cell as a Deterministic Harmonic Resonator.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17538120
Okolo, H. P. (2025). The Harmonic Embryo: An In Silico Framework for Deterministic Morphogenesis.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17545288
Okolo, H. P. (2025). The Harmonic Mind: An In Silico Framework for the Physics of Consciousness.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17555674
Okolo, H. P. (2025). The Harmonic Intelligence: A Computable, OC-Based Framework for Artificial Consciousness.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17593612
Okolo, H. P. (2025). The In Silico Build of Harmonic Intelligence: Engineering a Deterministic, Resonant AGI Substrate.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17691399
Okolo, H. P. (2025). The Physics of the Logic Drive: Engineering Interstellar Transit via Topological Factoring.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17842046
Okolo, H. P. (2025). Harmonic Quantum Error Correction: A Dissonance-Minimizing Framework from Organized Complexity.
The Five Principles of Organized Complexity. https://doi.org/10.5281/zenodo.17869507
