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 Complete Solution to the Glass Transition: A Unified Energy–Topology Landscape (ETL) Framework
(Publisher, 2025-11-27) Barack Ndenga
The glass transition — the dramatic dynamical arrest of supercooled liquids into amorphous solids — remains one of the deepest unsolved problems in condensed-matter physics. Competing paradigms (thermodynamic Random First-Order Transition [RFOT], kinetically constrained/facilitation models, frustration-based approaches, and energy landscape viewpoints) each capture facets of the phenomenon but fail to produce a single, predictive, experimentally falsifiable theory. Here I propose the Energy–Topology Landscape (ETL) Unification, a theoretical and computational framework that synthesizes thermodynamics, topology of configuration space, and dynamical facilitation into a single continuum theory. In ETL the glass transition is not a single mechanism but an emergent consequence of (1) a proliferation of high-dimensional topological bottlenecks in the potential-energy landscape as cooling proceeds, (2) a finite but vanishingly small measure of accessible configuration-space pathways that enforce hierarchical facilitation, and (3) a thermodynamic drift toward deep meta-basins whose internal ruggedness controls low-temperature vibrational anomalies. ETL yields closed-form scaling relations for relaxation times, a microscopic origin for the boson peak and non-linear elastic response, and precise experimental signatures (specific heat, non-linear susceptibility, ultrastable glass fingerprints). I provide a mathematical formalism, numerical algorithmic recipes, and a program of decisive experiments. I argue that, once the proposed predictions are verified (or falsified) by the community, the ETL framework will constitute a comprehensive resolution to the glass problem.
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Correlated Quantum Matter Beyond Band Theory: A Continuum-Interaction Formalism for Strongly Coupled Electrons
(Publisher, 2025-11-26) Barack Ndenga
The failure of conventional band theory to describe strongly correlated materials—high-Tc superconductors, Mott insulators, and strange metals—reveals a fundamental incompleteness in our current understanding of electron–electron interactions. In this work, I propose a unified continuum-interaction formalism that treats electronic behavior not as a perturbation around independent quasiparticles, but as an emergent quantum collective governed by non-local correlations. Using an extended Hubbard–Landau functional, a correlation-driven spectral reconstruction model, and a tensor-network-inspired coarse-graining operator, I derive a framework capable of capturing insulating, metallic, and incoherent regimes within a single mathematical structure. This approach suggests that the breakdown of band theory is not an anomaly but an inevitable manifestation of collective entanglement. I discuss analytical consequences, numerical implications, limitations, and future research directions toward a full predictive theory of correlated quantum matter.
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Quantum π-Unification II: Definition, Mathematical Structure, and Foundational Properties of the Quantum π for Molecular Systems
(Publisher, 2025-11-25) Barack Ndenga
The second article in the Quantum π-Unification Series establishes a fully defined, operational, and mathematically rigorous formulation of the Quantum π for molecular systems. Unlike classical π-electron theory—which only describes delocalized electrons—the Quantum π introduced here represents a phase-information invariant governing chemical stability, resonance, symmetry, and reactivity. This work develops: 1. the conceptual foundations of the Quantum π, 2. its mathematical structure (phase operator, symmetry factor, information contribution), 3. the connection with chemical resonance, electronegativity flow, and energy minimization, 4. prediction rules for molecular stability and reactivity. The article also introduces the π-Stability Index (PSI) and the Quantum π-Symmetry Number, two new descriptors that unify chemical information, electronic delocalization, and energetic behavior.
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From 8 000 “Criticals” to Fewer Than 200: Five Years of Pathway-Aware Risk Prioritisation in Enterprise Vulnerability Management
(CEMA-USK, 2025-11-20) Nsiangani, Kibavuidi; Ipoli, Christian
Security operations teams are overwhelmed by alerts and routinely wrestle with backlogs of several thousand “critical” vulnerabilities, yet still experience serious incidents and rising analyst burnout. During the first years of the COVID-19 pandemic this became particularly visible: attack surfaces expanded overnight through remote access, while staffing levels and attention were under pressure. This article describes five years of experience with a pathway-oriented, open-standard risk prioritisation model deployed in several Tier-1 European organisations in financial and automotive sectors. Instead of relying primarily on scanner-provided severity (for example CVSS-based critical/high/medium/low buckets), the model ranks issues according to their role in concrete attacker pathways: how they enable entry, lateral movement and impact on critical assets. Our research offers three main contributions. First, we detail a natural experiment during the first COVID-19 wave where an automotive finance subsidiary, using shared infrastructure, reduced over 6,000 scanner-critical items on its remote-access estate to zero pathway-critical issues in under six months. This occurred despite increased remote-work exposure and attack volume, and without successful compromise, unlike branches on the same infrastructure using traditional CVSS prioritization, which suffered incidents. Second, we generalize this, showing five large organizations reduced top-priority items by over 90% (from ~8,000 to <200) without compromising security outcomes. Third, these reductions were achieved within formal governance frameworks (documented plans and architectures) that have since been formalized into open, vendor-neutral standards now being reused in Europe and African/EMEA markets.
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