Research works

Shared-Factor Kronecker-Sum LU and Tensor-Product Structured Matrices

This paper establishes an exact LU theory for finite low-separation-rank Kronecker sums in arbitrary tensor dimension. The principal theorem treats matrices of the form M = ∑ᵣᵥ₌₁ ⊗ᵈₛ₌₁ Aᵥ,ₛ, where each mode shares fixed unit-triangular outer factors, Aᵥ,ₛ = LₛTᵥ,ₛUₛ, and the term...

Universal Mapping between Prime-Prime Lattice (PPL) Space and Physical Observables: Mathematical Foundation of the PPL-Jacobi Core Transformation Layer (MOD-00)

A central challenge in unifying multi-scale physical phenomena is bridging discrete topologicalstructures with continuous physical observables measured in SI units. This paper presentsthe rigorous mathematical foundation of the PPL-Jacobi Core Transformation Layer (MOD-00), which...

Smoking, Nicotine Exposure and Blood Glucose Regulation: A Scientific Review of Insulin Resistance, Type 2 Diabetes Risk and the Metabolic Effects of Smoking Cessation

This research paper explores the physiological and metabolic impact of tobacco smoking and nicotine exposure on blood glucose homeostasis. It reviews the pathophysiological pathways through which acute and chronic nicotine consumption induces insulin resistance, alters glucose me...

A Study of Signalling Effectiveness in Entrepreneurial Opportunity Decisions

Signal effectiveness occurs when signals elicit the desired stakeholder validation, enabling entrepreneurs to gain confidence in opportunities, secure funding, and facilitate venture decision-making. Prior research has emphasised senders and signal attributes, but the receiver’s...

Civilizational Viability Research Design: From Units of Observation to Comparative Measurement

This article develops a research design for the empirical study of civilizational viability within the emerging metrological framework of Vitology. It continues the methodological sequence established in G27–G30, which introduced a metrology of civilizational viability, a compara...

Plimpton 322: Babylonian Pythagorean Triples Predating Greek Mathematics by 1000 Years — E8 Intelligence Research

FINDING: Plimpton 322 contains 15 rows of Pythagorean triples generated by a systematic algorithm, predating Greek mathematics by over 1000 years, and likely used for trigonometric or geometric calculations. MATH: For a triple (a, b, c) with a² + b² = c², the tablet lists values...

Emerging Two‐Dimensional vdW Materials and Their Heterostructures for Memristive Devices: Advances, Challenges, and Perspectives

ABSTRACT The continuous scaling of conventional CMOS technology has posed critical challenges for modern electronic systems, including high power consumption and limited memory density. The major challenge in current computing systems is the von Neumann bottleneck, which arises f...

The Path of Self-Referential Geometry: Yuanxian Theory's Paradigm Replacement of Calabi–Yau Manifolds — From "Rented Geometry" to "Grown Skeleton"

String theory takes Calabi–Yau manifolds as the geometric carrier of compactification — a natural extension of the paradigm that “the universe is a mechanical system.” Within the $\mathcal{T}^{64}$ cosmic-organism framework of Yuanxian Theory, however, Calabi–Yau manifolds exhibi...

UNDERSTANDING PARAQUAT POISONING AND ITS LIFE-THREATENING IMPACT AND ROLE OF EARLY INITIATION OF HEMODIALYSIS

Background: Acute paraquat poisoning is a severe toxicological emergency characterized by oxidative injury and progressive renal and pulmonary damage. Mortality remains high, particularly when pulmonary fibrosis develops. The Aim is to evaluate the clinical profile, renal and res...

Resilience Definitions and Theories: Implications for Post-Secondary Students

Literature in psychology is replete with countless definitions and theories of resilience, which may create confusion among scholars and practitioners. In addition to varying from one publication to another, these definitions and theories have also evolved over the years. A narra...

Universal Physical Waveform Forging: Autonomous Thermodynamic Wave Synthesis across High-Dimensional Potential Landscapes for Penetration, Resonance, and Sub-Threshold Energy Conduction

Universal Physical Waveform Forging (UPWF) establishes an autonomous physical-layer manufacturing paradigm that shifts sequence synthesis from discrete symbolic arithmetic and closed-form algebraic polynomials (Barker, Gold, Zadoff-Chu) to continuous thermodynamic state relaxatio...

Dichalcogenide Electronegativity Engineering Enables Low‐Redox‐Potential Organic Anodes for High‐Performance Calcium‐Ion Batteries

ABSTRACT Organic anodes for calcium‐ion batteries (CIBs) generally rely on extended conjugated structures to host high‐density redox couples for enhanced capacity. However, this design often lowers frontier molecular orbital energies, resulting in undesirably high redox potential...

Interpolated Apéry Sequences Link ζ(3) to Weight-4 Modular L-Values — E8 Intelligence Research

FINDING: Interpolated Apéry sequences linked to critical L-values of weight-4 modular forms extend the modularity of ζ(3) and reveal a hidden arithmetic-geometric bridge. MATH: - Apéry numbers for ζ(3): \( A_n = \sum_{k=0}^n \binom{n}{k}^2 \binom{n+k}{k}^2 \) - Zagier's interpola...

Beyond Babel: What Remains When No Certainty Remains — An Introduction to Reflexive Minimalism

An essayistic introduction to a philosophical project grounded in epistemic finitude, written for readers without formal philosophical training. It begins from a contemporary predicament: we have never communicated more and rarely understood one another less, while nuclear weapon...

LAB #1616 HARMFUL: VIDEO SCOUT: Harmonic Pattern Supertrend Indicator Testing — E8 Intelligence Research

IDEA: AUTO VIDEO SCOUT — evaluate this trading strategy video for the swarm: VIDEO: "Harmonic Pattern Supertrend Indicator Testing" by The Academy of Forex — https://www.youtube.com/watch?v=E1Fiiuvl0GM (duration 709s, 477 views; found via search 'harmonic pattern trading strategy...

🧠 KNOWLEDGE EXTRACTED (rlab #185): 4 constants + 4 methods + 4 research topics + 3 improvements — E8 Intelligence Research

🧠 KNOWLEDGE EXTRACTED (rlab #185): 4 constants + 4 methods + 4 research topics + 3 improvements The most valuable extraction is the E8 rotational symmetry mapping method applied to Göbekli Tepe's pillar geometry, which can be used to test harmonic alignments and potentially unco...

Solid‐State Melt Rearrangement/Acetylation Reaction of Primary Amides and PhI(OAc) 2 in Reactive Eutectic Medium

A novel solid‐state melt rearrangement reaction from primary amides and PhI(OAc) 2 without any solvents in reactive eutectic medium was established. Compared with traditional solvent‐involved or high‐temperature solid‐state reactions, this reaction features lower temperature, sho...

Capability-Offset Deployment: A Recursive Frontier-Guardian Architecture for AI Control, Economic Feasibility, and Public Governance

This paper proposes Capability-Offset Deployment (COD), a recursive socio-technical framework for controlling increasingly capable artificial intelligence systems. The central principle is that no frontier AI capability with potentially systemic consequences should be granted gre...

Older Age, STAG2 , and DNMT3A Mutations Predict Superior Posttransplant Survival in Newly Diagnosed Acute Myeloid Leukemia Treated With Venetoclax Plus Hypomethylating Agents

ABSTRACT Venetoclax (Ven) plus hypomethylating agents (HMA) is standard frontline therapy for newly diagnosed AML (ND‐AML) patients unfit for intensive chemotherapy and is also considered in younger, fit patients. However, consolidation with allogeneic stem cell transplant (ASCT)...

Epoxidation of Waste Palm Cooking Applied With Hybrid Zeolite Catalyst Derived From Natural Clinoptilolite/Synthetic ZSM ‐5

ABSTRACT Catalyst development for epoxidation is constrained by the trade‐off between efficiency, cost, and sustainability. Homogeneous catalysts such as sulfuric, hydrochloric, and acetic acids exhibit high activity but are limited by corrosiveness, environmental concerns, and l...