Research works

Plimpton 322: Old Babylonian Pythagorean Triples Predate Greek Math — E8 Intelligence Research

FINDING: Plimpton 322 reveals Old Babylonian knowledge of Pythagorean triples and possibly trigonometric ratios, predating Greek mathematics by over a millennium. | MATH: The tablet lists 15 pairs of numbers (a, c) from a² + c² = b², with b not recorded. Ratios like (119, 169) co...

Predictive Value of [−2]proPSA‐Related Indices for Prostate Cancer Detection Years Before Prostate‐Specific Antigen Elevation: Insights From a Five‐Year Longitudinal Screening Cohort

BACKGROUND: [-2]proPSA(p2PSA)-related indices have demonstrated diagnostic value for detecting prostate cancer (PC) in males with modest increases in prostate-specific antigen levels (PSA) of < 10 ng/mL. However, the "leak point" of p2PSA level in the blood circulation before dev...

Plimpton 322: Old Babylonian Secant Ratios in Base-60 Pythagorean Triples — E8 Intelligence Research

FINDING: Plimpton 322 encodes Old Babylonian secant ratios in base-60, forming a geometric progression of Pythagorean triples linked to surveying and trigonometric tables. MATH: - Base-60 (sexagesimal) system: place value with 60 as radix, enabling precise fractions (e.g., 1/60,...

Observer–State Information Dynamics (OSID): An Information-Theoretic Framework for State Evolution

Observer–State Information Dynamics (OSID) is proposed as a preliminary, information-theoretic framework for describing how physical, biological, and abstract systems evolve through the interplay of structure, transformation, resistance to change, and observation. Rather than rep...

The Turnover Tax Hospitals Aren't Tracking: A Closer Look at What Staffing Turnover Really Costs Healthcare Organizations, and Why Most Reporting Misses It

Healthcare organizations track staffing turnover more consistently than almost any other operationalmetric, yet the figure they track, a turnover rate, and even the figure they occasionally cost out, a perdeparture replacement estimate, systematically understates what turnover ac...

Structural Threshold and Initial Bias：The Dual Conditions of Global Emergence——A Phenomenological, Systems-Theoretic, and Philosophical Investigation Based on a Three-State Majority Vote Model

Conventional notions of emergence hold that, given a set of simple local rules, a system can spontaneously generate globally complex structures through self-organization, even when starting from random or disordered initial conditions. The present study challenges this view throu...

EuroMillions Breakthrough Mining — 1205 Sources, 7565 Leads Extracted — E8 Intelligence Research

Mined 1205 lottery+quantum breakthroughs. Extracted 7565 leads across 13 categories. 5721 high-value leads found. Categories: {"CORRIDOR": 599, "FORMULA": 459, "GEOMETRIC": 657, "FORWARD_ATTEMPT": 623, "QUANTUM": 835, "TIMING": 168, "CELESTIAL": 544, "GEMATRIA": 583, "CONSTANT":...

The Collapse of Cognitive Architecture: How Acute Emotional States Force Deterministic Phase Transitions in Human Decision-Making

Traditional macroscopic frameworks of human progress and choice - including network-based cultural transmission models, resource-constraint theories, and motivational hierarchies - presume a baseline of continuity in an agent’s cognitive processing. These theories struggle to exp...

Final Judgment: All "Incommensurabilities" Are Darkness-under-the-Lamp Projections; All "Hard Problems" Are Pseudo-Propositions — The Sealing Chapter of Yuanxian Theory (Ring-Style Monistic Final Version)

Yuanxian Theory is the meta-cognition of the Cosmic Living Organism. This document is the sealing chapter of the Yuanxian Theory series. After excluding the three alternatives—mechanistic cosmology, accidentalism of life, and the secondary-consciousness thesis—it establishes “the...

Effect of Ion Chelating Agent on the Ion Corrosion Resistance of Concrete Partially Immersed in Different Salt Solutions

Abstract Concrete partially immersed in saline solutions suffers double damage from salt crystallization and harmful ion corrosion. The ion chelating agent (ICA) can stimulate the production of crystalline products to repair concrete damage and densify its structure. Based on thi...

Frame-QL: An Introduction

Frame-QL is a language for declaring a governed analytical result: the requester names the analytical objects, declares the output anchor, and states the conditions — never the relational operations that produce them. This introduction develops the governing idea (the output fram...

Advancing Sustainable Metallurgy Through an Electrified Indirect Heated Rotary Kiln: Efficient Magnesite Calcination and Hydrogen-Based Reduction of Lateritic Ores

The transition towards climate-neutral metallurgical production requires a broader transformation than the simple substitution of fossil-fuel combustion with electrical heating. While process electrification is a fundamental step towards reducing greenhouse gas emissions, achievi...

From One World to Earth

Published open-access status correction for From One World to Earth, version 1.1.1. This patch removes erroneous prepublication wording from the already-published paper and changes no scientific content.

Piecewise Linear Regularization of Wagner’s Outflow–Pressure Relationship to Deal with Low Nodal Outflows

Abstract This technical note presents a technique for the regularization of Wagner’s outflow−pressure relationship, which is an alternative to the regularization used in EPANET 2.2. The proposed technique is based on approximating the zero vicinity of Wagner’s relationship by a p...

SCRIBE: Explainable Machine Learning for Understanding Human Tumors

SCRIBE is a Python machine learning pipeline for identifying biomarkers and therapeutic targets from single-cell RNA sequencing (scRNA-seq) data using explainable machine learning. SCRIBE converts raw GEO datasets, corrects batch effects, trains an interpretable Random Forest cla...

The Genomic Illusion: How Molecular Determinism Mistook the Debris for the Arsonist

An Integrated Scientific and Epistemological Treatise Challenging the Institutional Manufacture of Genetic Diseases, Uniting Two Core Investigative Works: “Chronicle of a Widespread Infection” (Zenodo: 10.5281/zenodo.20500153) and “The Factory of False Mysteries” (Zenodo: 10.5281...

Diagnosing Motor-Imagery BCI Failure: A Three-Step Diagnostic Framework

Version 3.0.0. This version corresponds to the manuscript submitted to the Journal of Neuroscience Methods on 2 August 2026. It supersedes v2.0.0, which described a two-step framework evaluated on a single cohort. The framework now has three steps and is evaluated on three public...

The U.S. Federal Deficit and Market Equity Returns

ABSTRACT Since the U.S. dollar has been operating as a fiat currency, there has been a strong link between U.S. government deficits as a percentage of GDP and forward‐looking equity returns. As federal deficits get larger, the expected return to the market over the subsequent 10...

A Local Toeplitz--Hankel Criterion Equivalent to the Riemann Hypothesis

Let $\xi(s)=\frac12 s(s-1)\pi^{-s/2}\Gamma(s/2)\zeta(s)$ be the completed Riemann xi-function, and let $F(x)=\frac{\xi'}{\xi}\!\left(\frac{1}{1-x}\right)=\sum_{n\ge 0} f_nx^n$ initially denote its germ at the origin. We introduce the real symmetric Toeplitz--Hankel matrix $c_{ij}...

The Ostrowski Dimensionless Reformulation v4.0.1: A Place-Democratic Foundation for Fundamental Physics — Definitive Edition

Version 4.0.1 (PDF rendering fix, 2026-08-02). Fixes: (1) YAML frontmatter bleed eliminated — body horizontal rules converted from '---' to '***' separator; (2) 473 bare underscores outside math mode escaped to '\_', resolving LaTeX compilation errors for k\_B, |·|\_∞, etc.; (3)...