Research works

Frobenius minimality of the Huneke-Wiegand counterexample in symmetric numerical semigroup rings

Son Pham publicly identified a counterexample to the Huneke-Wiegand conjecture in the class of two-generated monomial ideals over symmetric numerical semigroup rings, subsequently verified independently by Professor Craig Huneke. This preprint preserves that discovery priority an...

Digital patient safety interventions in primary care: a systematic review and meta-analysis

Abstract Background Patient safety events are among the top ten causes of death and disability worldwide, with most considered preventable, particularly in primary care. Digital interventions are increasingly used in primary care to improve patient safety, targeting errors and pr...

Golden Ratio τ Links E8 Lattice Compression to 4D Quasicrystal Matrix — E8 Intelligence Research

**FINDING:** Quasicrystal projection from 6D hypercubic lattice uses golden ratio τ as inflation/deflation scaling factor, linking E8 lattice compression to 4D holographic structural matrix. **MATH:** - Golden ratio: τ = (1+√5)/2 ≈ 1.618034 - τ² = τ + 1 ≈ 2.618034 - τ⁻¹ = τ - 1 ≈...

Machine learning identifies potential accessory resistance-associated mutations in HIV-1 integrase

Abstract Background Although integrase strand transfer inhibitors (INSTIs) have a high genetic barrier to resistance, cases of virological failure continue to emerge, sometimes in the absence of major resistance-associated mutations. Conventional genotypic and phenotypic resistan...

From Fugitive Cash to Non-Fugitive Provisioning: The Mundellian Trilemma, External Debt Feedback, and the Design Space of Post-Employment Redistribution

The Mundellian trilemma is widely assumed to make large-scale redistribution — such as universal basic income — infeasible in an open global economy, yet this assumption has never been stated formally or tested dynamically. This paper constructs a four-bloc computational model of...

Track Switching：Hierarchical Reclassification of Six Physical Problems

Physics achieved brilliant successes in the twentieth century, but also left behind a set of extremely stubborn unsolved problems. These problems share a common feature: they have been repeatedly posed, repeatedly attempted, and repeatedly failed within physics itself, with no br...

Where the Latency Actually Goes: Deterministic State Machines, Barge-In, and Cancellation in Full-Duplex Voice Agents.

In voice agents, we typically see latency as a model performance issue. We measure three metrics independently to show how responsive the system is: time to first token, speech recognition speed, and time to first synthesized audio. Now something else happens to the caller. The r...

Rainfall-Pattern-Dependent Regulation of Hillslope Erosion by Vegetation Conservation Measures in Subtropical Hilly Farmland: A Multi-Method Analysis

The Southern Jiangsu hills region is located within the Yangtze River Delta Ecological Barrier. Soil erosion poses a threat to the development of commercial forests and the water quality of Lake Taihu, making it urgent to quantify the mechanisms by which vegetation and rainfall r...

EuroMillions Breakthrough Mining — 1234 Sources, 7876 Leads Extracted — E8 Intelligence Research

Mined 1234 lottery+quantum breakthroughs. Extracted 7876 leads across 13 categories. 6029 high-value leads found. Categories: {"CORRIDOR": 627, "FORMULA": 487, "GEOMETRIC": 657, "FORWARD_ATTEMPT": 652, "QUANTUM": 863, "TIMING": 169, "CELESTIAL": 573, "GEMATRIA": 611, "CONSTANT":...

A Multi-Scale Computational Analysis of Bucillamine Neuroprotection Against Soman Toxicity

This computational framework evaluates the neuroprotective mechanism of the dithiol antioxidant Bucillamine (and its active metabolite SA981) against Soman-induced oxidative damage. By integrating quantum chemical calculations, classical molecular dynamics, and systems-level ordi...

Babylonian YBC 7289 Tablet: 1700 BCE Sexagesimal √2 Approximation Accurate to Six Decimal Places — E8 Intelligence Research

FINDING: Babylonian sexagesimal approximation of √2 on YBC 7289 (1700 BCE) yields 1;24,51,10 = 1.41421296, accurate to 6 decimal places, derived via iterative method or geometric lattice. MATH: √2 ≈ 1;24,51,10 (sexagesimal) = 1 + 24/60 + 51/3600 + 10/216000 = 305470/216000 = 1.41...

Beyond the Homogeneous Approximation: Exact Linear Stability, a Structural Second-Order Source, and a Quantum-Arrival-Time Obstruction at the Robin-Boundary Signature-Change Surface

In two companion papers [1, 2] we computed the ensemble statistics of the shift in theEuclidean–Lorentzian signature-change surface of Robin-boundary quantum cosmology induced by a light stochastic spectator field, first at the homogeneous (zero-mode) level andthen, using the sep...

The Optimal Design of a Renewable Energy Production System Including Green Hydrogen Production to Support a Public Building

This study presents a mathematical programming approach for the optimal design of a renewable energy system in a grid-connected public building, incorporating green hydrogen production for surplus energy storage. The system includes wind turbines, solar panels, batteries, a hydro...

Penrose Tilings: Aperiodic Patterns Linking the Golden Ratio to Quasicrystals — E8 Intelligence Research

FINDING: Penrose tilings are aperiodic, non-repeating patterns that exhibit 5-fold rotational symmetry, previously thought impossible for crystals, and are directly linked to quasicrystal discovery. | MATH: Golden ratio φ = (1+√5)/2 ≈ 1.618; inflation/deflation scaling by φ; two...

Playing to Understand What Comes Next

This essay explores play, imagination, and curiosity as foundational forms of knowledge production and as possible starting points for a creative and responsible relationship with artificial intelligence. In contrast to approaches that reduce human–AI interaction to the technical...

EXTRACTED METHOD: metonic_e8_harmonic_test — E8 Intelligence Research

rule: check if 19 * 12.631 ≈ 240; if yes, mark as harmonic candidate source: rlab #59 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Impact of Histopathological Response on Outcomes After Surgical Resection Following Carbon‐Ion Radiotherapy for Pancreatic Cancer With Arterial Involvement

ABSTRACT Aim Carbon‐ion radiotherapy (CIRT) provides superior dose distribution and higher biological effectiveness than conventional X‐ray radiotherapy and has emerged as a promising component of multidisciplinary treatment for advanced pancreatic ductal adenocarcinoma (PDAC). H...

IIT's Phi: Consciousness as Irreducible Cause-Effect Without Closed-Form Constant — E8 Intelligence Research

FINDING: Integrated Information Theory (IIT) formalizes consciousness as a quantity Φ (phi) measuring irreducible cause-effect power of a system, but current formulations depend on lossy integration and lack a closed-form mathematical constant. MATH: - Φ = integrated information,...

Foliar Application of Selenium Nanoparticles Reduced Cadmium Accumulation and Alleviated Cd Toxicity in Winter Wheat Grown in Cd-Contaminated Soil

This study investigated the efficacy and mechanisms of foliar-applied selenium nanoparticles (SeNPs) in reducing cadmium (Cd) concentrations and alleviating Cd toxicity in winter wheat grown in Cd-contaminated soil. Pot experiments were conducted to evaluate SeNPs of different pa...

EuroMillions Breakthrough Mining — 1213 Sources, 7645 Leads Extracted — E8 Intelligence Research

Mined 1213 lottery+quantum breakthroughs. Extracted 7645 leads across 13 categories. 5798 high-value leads found. Categories: {"CORRIDOR": 606, "FORMULA": 466, "GEOMETRIC": 657, "FORWARD_ATTEMPT": 631, "QUANTUM": 842, "TIMING": 169, "CELESTIAL": 552, "GEMATRIA": 590, "CONSTANT":...