Research works

Wieferich Primes: The Only Known p with p² Dividing 2^(p−1) − 1 — E8 Intelligence Research

FINDING: Wieferich primes (1093, 3511) are the only known primes p where 2^(p−1) ≡ 1 (mod p²), a second-order residue condition with deep ties to cyclotomic fields and Mersenne divisibility. MATH: - Defining congruence: 2^(p−1) ≡ 1 (mod p²) ⇔ p² | (2^(p−1) − 1). - Known solutions...

Diagnostic accuracy and clinical utility of simple screening strategies for sarcopenia in postmenopausal women: a cross-sectional internal evaluation study

Simple and feasible screening strategies are needed to identify sarcopenia in postmenopausal women, particularly in settings where comprehensive body composition or functional assessment may not be readily available. This study aimed to compare the diagnostic accuracy and clinica...

THE UNIFIED QUANTUM-GEOMETRIC BONDING THEORY (UQGBT): A Bipartite Superposition Model of Topological Pauli Repulsion and Quantum Wavefunction Interference Resolving the Dichotomy of Molecular Orbital and Valence Bond Formalisms

The macroscopic physicochemical behavior of molecular entities represents a highly esoteric interplay of electrostatic phenomenologies, strict topological constraints, and quantum mechanical wave superpositions. The theoretical discourse surrounding the chemical bond has been pro...

The Terrain–Timing Model: A Systems Framework for Biological Coherence

Core Systems Focus: Establishes the universal conceptual and relational architecture of the model, independent of any single disease state. Synopsis: Paper 1 argues that biological function depends on more than the presence or normal abundance of molecular components. It proposes...

Emotion regulation and personality traits associated with resilience among Iranian emergency nurses: a cross-sectional study

Resilience is a critical psychological resource for emergency department (ED) nurses exposed to chronic occupational stress. While personality traits and cognitive emotion regulation strategies have both been linked to resilience, their relative contributions in high-acuity clini...

Breaking the habit. A commentary on “Fossil flowers of Ayenia (Malvaceae) preserved in amber: evidence for lianas in Miocene rainforest of Southeast China”

Caroline Siegert; Breaking the habit. A commentary on “Fossil flowers of Ayenia (Malvaceae) preserved in amber: evidence for lianas in Miocene rainforest o

Survival and hematologic toxicity after whole-brain radiotherapy, photon craniospinal irradiation, and proton craniospinal irradiation for solid-tumor leptomeningeal disease: a systematic review

Leptomeningeal disease (LMD) from solid tumors carries poor prognosis and substantial neurologic morbidity. Radiotherapy is used for palliation and disease control, but outcomes across whole-brain radiotherapy (WBRT), photon craniospinal irradiation (CSI), and proton CSI remain i...

A Generalized Discrete-Cyclic Framework for Fundamental Physical Structure

Abstract This paper presents a generalized discrete-cyclic framework for the mathematical representation of periodic physical systems. The central proposition of the research is that several problems conventionally treated as independent may originate, in part, from a common stru...

Wasserstein Metric as Linearized Optimal Transport Sobolev Norm — E8 Intelligence Research

FINDING: The Wasserstein metric (Earth Mover's Distance) provides an optimal-transport geometry on probability distributions, formally equivalent to a weighted homogeneous Sobolev norm for infinitesimal perturbations. | MATH: For probability measures μ,ν on metric space (X,d), th...

Syrona: an open-source visual analytics tool for pairwise comparison of health datasets in OMOP CDM

Abstract Background Health research increasingly relies on observational datasets that capture systematically different patient populations, affecting the representativeness, comparability, and transportability of study findings. Yet these differences are rarely quantified across...

Mechanistic investigation of keratinocyte injury induced by the small-molecule PD-L1 inhibitor BMS-1 via network toxicology, molecular dynamics simulation and cellular assays

Abstract Background Programmed cell death ligand 1 (PD-L1) inhibitors are important agents for lung cancer immunotherapy. However, they frequently cause cutaneous toxicity in clinical practice, which compromises therapeutic compliance. Current studies mostly focus on immune cells...

The Ultra-Global \delta I-Collapse Surface: Resolution of the Black Hole Information Paradox and Singularity Dissolution in Pre-Geometric Spacetime

We demonstrate that the classical gravitational singularity and the associated Hawking information loss paradox are resolved from first principles by the emergent pre‑geometric correlation substrate framework (SI‑substrate). As a massive body collapses, the correlation‑pressure P...

Controlling the Dynamic Conversion Process of the Water Molecules on the Electrolyte Interface for Producing Free Water

ABSTRACT Proton exchange membrane water electrolysis (PEMWE) is a highly promising green hydrogen production method and technology, and it is also one of the important means for scientists and engineers to achieve carbon reduction, carbon emission, and carbon neutrality. Years of...

The Global Epidemiology of Metabolic Dysfunction-Associated Steatotic Liver Disease: Regional Hotspots, Trends, and Future Projections

Purpose of Review This review highlights the global prevalence of metabolic dysfunction-associated steatotic liver disease (MASLD), assesses comparability of the former definition of non-alcoholic fatty liver disease (NAFLD)-era estimates with the 2023 steatotic liver disease (SL...

GAP TAILS AND FRAGMENTATION IN ONE DIMENSION: An exact reduction for Poisson and GUE proximity graphs

Exact reduction of one-dimensional hard-radius proximity graphs to consecutive-gap exceedances. The result gives closed Poisson benchmarks and identifies a GUE–Poisson fragmentation crossover near one mean spacing. Numerical GUE experiments confirm the two-regime structure and se...

Wasserstein Distance: Bridging Measure Theory and Computational Limits via Kantorovich-Rubinstein Duality — E8 Intelligence Research

FINDING: Optimal transport theory (Wasserstein distance) provides a geometric metric on probability spaces, with Kantorovich-Rubinstein duality linking it to Lipschitz functions and spectral gaps — a bridge between measure theory and computational limits. | MATH: Wasserstein-1 di...

Assessment of Iranian orthodontic specialists’ knowledge and perceptions regarding the efficacy of clear aligner therapy in various orthodontic tooth movements (2024)

Clear aligner therapy (CAT) is increasingly used in orthodontics, but the predictability of specific tooth movements remains variable. This study assessed Iranian orthodontic specialists’ perceptions of the relative efficacy of CAT for common malocclusions and tooth movements. A...

HIOF • Quantum, Virtual Particles, Virtual Time — Three Boundaries Series — Paper II: Virtual Processes and Vacuum Response

HIOF QVPVT: Quantum, Virtual Particles, Virtual Time A Boundary-Drawing Companion to the Three Boundaries Series This is a short, non-technical companion to a four-paper series plus two appendices under the Holographic Information Ontological Framework (HIOF) and the Time Ocean M...

The Zulfia Structural Inequality: Origin, Derivation, and Fundamental Properties

We introduce the Zulfia Structural Inequality (ZSI) as a generalized first-orderstructural law governing directional behavior. Starting from classical first-ordervariation, we replace fixed directions with structured mappings and derive the in-equality as a consistency condition...

Characterization of mitochondria in trophoblast cells derived from control and early-onset preeclamptic pregnancies via induced pluripotent stem cells

Abstract Early embryonic development occurs in a low oxygen environment, and mitochondrial morphology and function are distinct in embryonic cells and pluripotent stem cells (PSC), which rely less on oxidative phosphorylation than differentiated cells. Oxidative phosphorylation i...