Research works

A Dual-Phase Potential–Vortical Decomposition for Incompressible Hydrodynamics: Non-Linear Structure and Global Regularity

This is the final part, in which I provide an extended formulation of the vortivity for the Potential-Vortical decomposition, is showing how to express the potential field in terms of the vortical field.

Training-free ranking from pairwise comparisons via acyclic graph construction

Abstract Ranking from weighted pairwise comparisons asks for a global order that respects observed preferences as well as possible. We study a training-free, deterministic pipeline that builds an acyclic backbone on the comparison digraph using an MWFAS-inspired local-ratio heuri...

The machine of the future: what the next tool is, and what it will always need from us

This essay sets out what the author, writing in November 2025 while building Hellomatik in Madrid, takes the next generation of business software to be: a tool that carries out actions in the real world when a person writes what they need, in plain language. It argues that such a...

Tinea capitis in children in Northern Taiwan: An update from 2020 to 2024

Abstract Background: Tinea capitis is the most common fungal infection in children. The prevalent pathogen differs by region and shifts over time. Objectives: To investigate the current epidemiological, clinical, and mycological characteristics of tinea capitis in children in nor...

Nanomedicines for resistant tumours in the central nervous system: novel materials and mechanisms of action

Central nervous system (CNS) tumours have a dismal prognosis, primarily due to the systemic therapeutic resistance that tumours develop through complex multidimensional networks. Factors related to therapeutic efficacy include: (i) natural physical barriers (e.g., the blood–brain...

Polarity Reversal of Dipole at the SiO2/HZO Interface in Ferroelectric Field-Effect Transistors by Oxygen Scavenging of TiN

Abstract Doped HfO2-based ferroelectric field-effect transistors (FeFETs) have attracted considerable attention for their potential in nonvolatile memory applications. Research on the dipole at the SiO2/HfO2-based ferroelectric interface is scarce. This study finds that the polar...

Physicochemical effects of bicarbonate-buffered solution versus compound sodium lactate during major abdominal surgery: A randomized, open-label, non-inferiority trial

Introduction Bicarbonate-buffered crystalloids avoid exogenous lactate and have physicochemical properties distinct from compound sodium lactate (CSL), but direct comparative evidence during major abdominal surgery remains limited. Methods This single-center, open-label, randomiz...

Phi‑Weighted Helicity Vortices as Topological Energy Conduits in E8 Lattices — E8 Intelligence Research

By embedding phi‑scaled E8 root vectors into a superconducting mesh, helicity‑integral vortices inherit the Jones polynomial signatures of linked flux lines while resonating at the 132 Hz EEEL mode. This resonance locks the vortices into a coherent energy mesh that can transport...

Cosmology from a Three-Bit Seed

Author's note. This monograph consolidates the program corpus listed at the foot of this description. As the program has grown, each new result was propagated across an expanding set of documents, and the set became unmanageable. Consolidation also surfaced inconsistencies betwee...

E8 Phi-Lattice Causal Compression Bound — E8 Intelligence Research

The 240 root vectors of E8, when phi-modulated at 132Hz, generate a discrete causal lattice where each braiding operation compresses temporal depth by a factor of φ⁻¹. At the 8th harmonic (1056Hz), the information density saturates the Bekenstein bound exactly, creating a geometr...

Evaluating 10 Pigmentation Associated SNPs for Forensic DNA Phenotyping in Saudi Arabians: Population Structure and Model Calibration

Forensic DNA phenotyping (FDP) predicts externally visible characteristics from biological evidence, providing crucial investigative leads when conventional STR profiling fails. Although the HIrisPlex-S system is well-validated in European populations, its performance in Middle E...

Using personas as means to bridge user needs and climate service design: insights from the Austrian climate scenario evaluation

As climate services transition from pure data provision to tailored decision support systems, they require a mechanism to translate heterogeneous user needs into functional design. Despite the consensus on user-centeredness, systematic frameworks focusing on usability and uptake...

A.R.I.: A Personal AI Operating System for Longitudinal Human–AI Collaboration

This practitioner-grounded position and design proposal presents A.R.I., a personal AI operating system for longitudinal human–AI collaboration. Grounded in the author's experience using AI in marketing work, the design connects externally supplied model capabilities with user-ow...

Prognostic Role of Adverse Events in a Worldwide Population of Patients with Biliary Tract Cancer Treated with Chemo-Immunotherapy

Background: Biliary tract cancers (BTCs) are aggressive malignancies with limited treatment options. The addition of durvalumab or pembrolizumab to cisplatin–gemcitabine improves overall survival (OS), but validated biomarkers of benefit remain limited. Immune-mediated adverse ev...

On the Convergence of Slow-Fast Fractional McKean–Vlasov Stochastic Systems with Multivalued Operators

This article establishes a strong averaging principle for a class of slow-fast stochastic evolution systems that incorporate both McKean–Vlasov interactions and multivalued operators within a Hilbert-space variational framework. The slow variable υ evolves according to a Caputo f...

The Ethics of Growth-Promoting Pharmaceuticals for Achondroplasia

In 2021, vosoritide became the first pharmaceutical approved to treat the pathophysiology of achondroplastic dwarfism. It has generated significant ethical debate. Proponents emphasize its potential to improve quality of life and functional independence, whereas critics raise con...

Overuse Injuries of the Hip and Pelvis: Apophysitis, Stress Fractures, and Tendinopathies

Abstract Hip and pelvic overuse injuries are a frequent source of pain and lost playing time in athletes and may be challenging to diagnose because of overlapping symptoms and complex regional anatomy. Injury patterns vary according to skeletal maturity: in adolescents, open apop...

A Two-Phase Heuristic Search Approach to the Heilbronn Triangle Problem for n = 10, 11, 12

The Heilbronn triangle problem asks how to place n points in a unit square so that the minimum area triangle formed by any three of them is as large as possible. For n beyond roughly nine points, no configuration has been proven optimal, and progress has relied on a mix of analyt...

Early Orthopedic and Comprehensive Orthodontic Treatment of a Growing Patient with an Asymmetric, Low-Angle Skeletal Class III Tendency using a Hybrid Rapid Maxillary Expander and Facemask: A Case Report

This case report presents the early orthopedic and comprehensive orthodontic treatment of a growing male patient whose chief complaint was a retruded maxilla. At the start of treatment (age 12 years 7 months), examination revealed an asymmetric facial appearance, a concave profil...

Beyond Accuracy: Reliability-Aware Machine Learning for Handwriting-Based Alzheimer’s Disease Detection

Reliable clinical decision support systems require not only high predictive accuracy but also trustworthy probability estimates and robust uncertainty quantification. However, most medical artificial intelligence (AI) studies primarily emphasize discrimination performance while o...