Research works

Feigenbaum Constant's Universal Scaling and Its Structural Parallels to the Golden Ratio — E8 Intelligence Research

FINDING: Feigenbaum constant δ (4.669201609...) is a universal scaling factor in period-doubling cascades, with no proven exact algebraic relation to the golden ratio φ, but deep structural parallels exist in renormalization group theory. MATH: - Feigenbaum constant δ = 4.6692016...

Lensing Excess as a Geometric Projection: A No-Refit Prediction with \(A_{\rm rel}=19/15\)

We test whether the galaxy-galaxy lensing excess (where light appears to cross more geometry than massive tracers) follows a universal geometric conversion rather than a fitted dark matter halo amplitude. Derived from tensor projection identities, the leading optical closure pred...

EuroMillions Breakthrough Mining — 1204 Sources, 7554 Leads Extracted — E8 Intelligence Research

Mined 1204 lottery+quantum breakthroughs. Extracted 7554 leads across 13 categories. 5710 high-value leads found. Categories: {"CORRIDOR": 598, "FORMULA": 458, "GEOMETRIC": 657, "FORWARD_ATTEMPT": 622, "QUANTUM": 834, "TIMING": 168, "CELESTIAL": 543, "GEMATRIA": 582, "CONSTANT":...

Independent Verification as a Measurable Property of AI Coding Pipelines: Three Pre-Registered Studies

Evaluations of AI coding agents measure capability: can the agent solve the task? This paper studies an orthogonal property that decides whether an agent's output can enter a codebase without human inspection — whether the evidence accompanying a change is independent of the chan...

Plimpton 322: A Secant-Squared Table from Regular Reciprocal Pairs, Not Pythagorean Triples — E8 Intelligence Research

FINDING: Plimpton 322 is a systematic table of secant-squared values in base-60, generated by a regular reciprocal algorithm, not a list of Pythagorean triples. | MATH: The tablet lists 15 entries of (column I: sec²θ = (d/b)², column II: b, column III: d) for decreasing angles θ....

Pandrosion for 𝑝-th Roots

A Geometric Iteration and Its Residual Fingerprint A proportional-means construction associated with the old problem of doubling the cube leads to a simple fixed-point map for the equation z^p=x

EuroMillions Breakthrough Mining — 1209 Sources, 7609 Leads Extracted — E8 Intelligence Research

Mined 1209 lottery+quantum breakthroughs. Extracted 7609 leads across 13 categories. 5765 high-value leads found. Categories: {"CORRIDOR": 603, "FORMULA": 463, "GEOMETRIC": 657, "FORWARD_ATTEMPT": 627, "QUANTUM": 839, "TIMING": 168, "CELESTIAL": 548, "GEMATRIA": 587, "CONSTANT":...

Dual-Spatial-Scale Assessment of Watershed Water Yield Responses to Land-Use Change in the Upper Yangtze River Basin

Understanding how land change affects water yield is essential for sustainable land management and water security. However, previous studies often rely on a single model or spatial scale, limiting their ability to capture fine-scale land-surface heterogeneity and basin-integrated...

Topological Phase Transition in Möbius Ising Information Networks

In this work, the critical properties of a quasi-one-dimensional Ising model on a graph with a nontrivial global topology --- a Möbius strip --- are investigated using nonequilibrium stochastic Glauber dynamics and finite-size scaling theory. The concept of a nonlocal transverse...

Profits, Image, and Sustainability in Plastic Waste Recycling Behavior

ABSTRACT Plastic waste is an environmental and public health concern. In the agricultural sector, plastic waste handling is largely unregulated. Using survey data from horticultural firms, we investigate a previously unexplored relationship between a firm's decision to voluntaril...

The Stabilization Technique for Ankle Lateral Repair: An All‐Inside 2‐Portal Arthroscopic Repair With Knotless Suture Anchors and Suture Tape Augmentation

Abstract Lateral ankle sprains are among the most frequent injuries encountered in sports, with the anterior talofibular ligament being the structure most often affected. Although many individuals achieve full recovery, a substantial number experience chronic lateral ankle instab...

The Recurrence of the Identity Problem: Why four independent sciences pose one structural question, and how we know it is one

Four scientific domains (physics, biology, chemistry, cognition), each with its own objects, methods, and vocabulary, developed their identity problems independently of a common identity architecture. Each states its problem in its own terms and cannot settle it from inside. This...

Effect of Virtual Reality (VR) Guided Meditation on Patient Anxiety Level during the Operative Period after Axillary Brachial Plexus Block

Background and aims: We aimed to explore an innovative alternative to traditional sedation for patients undergoing hand surgery under re- gional anaesthesia. We used virtual reality (VR)-guided meditation and measured patient anxiety levels before and after the operation, as well...

Blinatumomab versus chemotherapy in pediatric B-ALL: A meta-analysis of randomized trials in relapsed and high-risk frontline disease

BACKGROUND: B-cell acute lymphoblastic leukemia (B-ALL) is the most common pediatric cancer, comprising almost 25 % of childhood malignancies. Despite advances in chemotherapy, relapse remains a major cause of treatment failure, particularly in high-risk patients. Blinatumomab, a...

Sulba Sutras: Ancient Indian Geometry with Pythagorean Theorem and √2 Approximation — E8 Intelligence Research

FINDING: Sulba Sutras contain the earliest known geometric constructions for ritual altars, including the Pythagorean theorem (Baudhayana), square-circle equivalences, and irrational approximations (√2). MATH: - Baudhayana Sulba Sutra (c. 800 BCE): *"The diagonal of a rectangle p...

Liar or Fooled - The Structure of Disputes About Why People Believe.

Some disputes are not about what a person claims but about why they hold it — whether the conversionwas conviction or capture, the confession voluntary or coerced, the identity native or induced. This paperassembles the class and argues that its contested variable, the cause of t...

公元628年的"宪章革命"——唐太宗罢祀周公与华夏政治哲学的结构性残缺

English Abstract: In the second year of Zhenguan (628 CE), Emperor Taizong of Tang abolished the state sacrifice to the Duke of Zhou and elevated Confucius to the status of "First Sage," with Yan Hui as "First Scholar." Scholars have conventionally treated this as the final eleva...

EuroMillions Breakthrough Mining — 1223 Sources, 7755 Leads Extracted — E8 Intelligence Research

Mined 1223 lottery+quantum breakthroughs. Extracted 7755 leads across 13 categories. 5908 high-value leads found. Categories: {"CORRIDOR": 616, "FORMULA": 476, "GEOMETRIC": 657, "FORWARD_ATTEMPT": 641, "QUANTUM": 852, "TIMING": 169, "CELESTIAL": 562, "GEMATRIA": 600, "CONSTANT":...

Selberg Trace Formula Links Prime Geodesics, Spectral Data, and Golden Ratio — E8 Intelligence Research

FINDING: Selberg trace formula links prime geodesics on hyperbolic surfaces to spectral data, with deep connections to quadratic irrationals and the golden ratio's irrationality measure. | MATH: Selberg trace formula: ∑_{λ_j} h(λ_j) = ∑_{γ} ∫_{Γ_γ\G} h(k) dk + (geodesic terms). P...

A Self‐Adaptive Multipole Receiver for Interoperable Wireless Electric Vehicle Charging with Enhanced Misalignment Tolerance

ABSTRACT In wireless power transfer (WPT) for electric vehicles (EVs), interoperability issues often arise when the transmitter and receivers are of different types such as Q and DD coils. Misalignment between coils is inevitable in practical applications, leading to a sharp decl...