Welcome to AfricArXiv

This initiative showcases UbuntuNet's commitment to fostering knowledge sharing, collaboration, and accessibility within the African research community. With AfricArxiv, researchers across the continent have a dedicated platform to disseminate their findings, making them accessible to a global audience. By facilitating open access to scholarly work, UbuntuNet Alliance plays a pivotal role in advancing the principles of open science, enhancing research visibility, and driving innovation across Africa.

 

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Now showing 1 - 5 of 7

Recent Submissions

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THE PRINCIPLE OF INFORMED ORGANIZATIONAL EFFICIENCY : A Comprehensive Foundational Framework for an Extended Fifth Law of Thermodynamics
(Publisher, 2025-12-07) Barack Ndenga
Information plays a central role in the organization and behavior of complex systems ranging from cells to societies, from neural networks to computational architectures, and from dissipative structures to adaptive agents. However, classical thermodynamics does not explicitly quantify the relationship between information and entropy in determining a system’s ability to organize, act, or evolve. I introduce here a new universal principle — the Principle of Informed Organizational Efficiency (IOE) — proposed as an Extended Fifth Law of Thermodynamics. This principle formalizes the competition between structured information and effective entropy using the ratio: R= I/S+1 where R denotes the system’s organizational efficiency, I the actionable information, and S its effective entropy. This relation quantifies how information promotes order while entropy promotes disorder, providing a fundamental organizational law applicable to physical, biological, computational, cognitive, and social systems. Through rigorous mathematical formalism, experimental predictions, and cross-disciplinary examples, I demonstrate that this law defines the organizational potential of any information-bearing system and complements — without contradicting — the four classical thermodynamic laws. It introduces a new, universal measure of system organization that offers predictive power over adaptation, learning, aging, collapse, and emergence.
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Schrödinger–Navier–Stokes–π Unified Computational Framework : A Unified Theoretical and Numerical Architecture for Quantum-Coherent Fluid Dynamics Across Physical and Biological Scales
(Publisher, 2025-12-05) Barack Ndenga
The coexistence of quantum coherence, nonlinear fluid dynamics, and biomolecular π-fields within biological and nanoscale systems requires a unified mathematical description. Classical hydrodynamics alone fails to capture coherence propagation, while the linear Schrödinger equation cannot model dissipation, viscosity, or turbulence. Here, I introduce the Schrödinger–Navier–Stokes–π Unified Computational Framework, a novel equation set combining: the quantum phase field of the Schrödinger equation, the viscous and nonlinear transport of Navier–Stokes dynamics, the curvature-driven quantum π-potential, and a hybrid Hamiltonian–dissipative evolution capturing both coherence and irreversible flow. This framework predicts quantum-fluid transitions, π-induced tunneling acceleration, coherence-enhanced mixing, nanoscale turbulence, and dynamic switching between classical and quantum transport regimes. It provides a general model applicable to biology, nanotechnology, photonics, and quantum materials. Keywords : Quantum Hydrodynamics Navier–Stokes Schrödinger Equation Unified Computational Framework π-field Dynamics Quantum Fluid Mechanics Hybrid Quantum-Classical Transport Coherence-Based Models Quantum Biology Nanoscale Transport Bio-Quantum Modeling Quantum Potential Quantum Fluid Engineering Biophysical Modeling Nonlinear Dynamics Computational Physics High-Order Numerical Methods Dissipative Quantum Systems Biomolecular Channels Quantum-Inspired Computing
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Quantum-Fluid Interpretation of Enzymatic Tunnels and Energy Transport
(Publisher, 2025-12-04) Barack Ndenga
Enzymatic tunnels—internal channels guiding substrates, protons, electrons, or conformational energy—are traditionally described using classical diffusion, transition state theory, or vibrational coupling. Here, I propose a novel framework: the Quantum-Fluid Interpretation, where enzymatic tunnels behave as coherent nano-fluids governed by π-field dynamics, enabling long-range energy transport, ultrafast communication, and directionality without significant energy loss. This model integrates quantum hydrodynamics, π-coherence fields, and nonlinear curvature-driven flows to describe tunneling, proton transfers, allosteric propagation, and catalytic acceleration. To my knowledge, this is the first article to formalize enzymatic tunnels as quantum fluid conduits, establishing a new branch of bio-quantum dynamics.
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2D Fracture Network Mathematics
(SCIRP, 2025-12-03) Daniel Brox
2D elastostatic displacement solutions for the Yoffe Mode I and Rice Mode II crack models are reviewed. These solutions are used to introduce the elastostatic displacement solution for a 2D Mode I/II multi-crack configuration in terms of meromorphic differential forms on a hyperelliptic curve. Using the multi-crack solution, a picture of crack growth as motion of a point in a moduli space of Riemann surfaces is presented, whereby the the final rupture configuration of the crack may be associated with a singular Riemann surface such as a Riemann sphere with a pair of points identified.
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Nano-Turbulence in Biological Systems: A New Paradigm
(Publisher, 2025-12-03) Barack Ndenga
Turbulence has traditionally been considered impossible in nanoscale biological environments due to strong viscous damping and low Reynolds numbers. Here I introduce the concept of nano-turbulence: a novel, coherence-driven, hydrodynamic-like regime emerging from quantum π-field dynamics within biomolecules, particularly proteins. Building on the bio-quantum framework of Quantum π in Biomolecular Dynamics, I show that proteins behave as nano-quantum fluids, supporting internal vortices, coherence eddies, and structured π-flow cascades. This article develops the mathematical foundations of nano-turbulence, characterizes its structural origins (aromatic networks, hydrogen bonds, curvature funnels), and discusses its functional consequences for allostery, mutation sensitivity, catalytic efficiency, and quantum energy transport. To the best of my knowledge, this is the first formal scientific proposal of nano-turbulence as a biological phenomenon, establishing a new paradigm in quantum biophysics. Keywords : Nano-turbulence Quantum Hydrodynamics Quantum π-field Quantum Biology Protein Dynamics Aromatic Networks Allostery Mutation Effects Bio-Quantum π Dynamics Quantum Coherence Nonlinear Biological Dynamics