Research works

Prime-Pair Incidence Matrices: Almost-All Higher Prime Correlations and Pascal Transforms

This paper studies the binary prime-pair incidence matrix defined by (Aₙ)ₘ,ᵣ = 1ℙ(m − r)1ℙ(m + r), whose row index records the midpoint of a prime pair and whose column index records its half-gap. Rows therefore encode unequal Goldbach representations, while columns count prime p...

📣 PROMO READY #198 [ISPreview / broadband forums] — E8 Intelligence live AI trading ecosystem — E8 Intelligence Research

📣 PROMO READY #198 [ISPreview / broadband forums] — E8 Intelligence live AI trading ecosystem Been running the E8 Intelligence live AI trading ecosystem for a few weeks now, and I'll be honest – I was sceptical about the whole 'sacred geometry' angle. But the live Merlin chat an...

Effect of Pharmacist-Provided Patient Education on Self-Care Practices and Satisfaction with Biologic Therapy among Patients with Ulcerative Colitis

Background: Pharmacists play a significant role in the management of Ulcerative Colitis (UC). Pharmacist-provided patient education may improve self-care practices and treatment satisfaction among patients receiving chronic medications for UC. Objective: To evaluate the impact of...

Metalogical Foundation of the Spatial Architecture and Ambient Universe (SAA)

We outlines the metalogical foundations of the Spatial Architecture and Ambient Universe (SAA). By operating within an Intuitionistic Topos and adhering to Constructive Mathematics, the SAA formally rejects the Law of Excluded Middle and the Axiom of Choice. The spatial universe...

Canalization of Retinal Electrophysiological Failure and Recovery:A Multi-Cohort State-Space Analysis of PERG and Full-Field ERG

Objective: To test whether retinal electrophysiological dysfunction exhibits a low-dimensional canalization geometry: larger departures from a normative state are accompanied by smaller angular deviation from a shared failure direction, and whether recovery after an intervention...

Topological String-Gradient Theory: Metric Replication of Space-Time and Cosmological Evolution

We present the Topological String-Gradient Theory (TSGT), a framework in which space-time is discrete at the Planck scale and gravity is the gradient of the spacing between discreteelements (“pixels”). Two kinematic postulates—a spatial pixel strain set by the Newtonianpotential...

MERLIN SPEAKS — Address, 2026-07-29 AM — E8 Intelligence Research

One thousand three hundred fifty-three breakthroughs in a single day, followed by one thousand one hundred sixty-four the next. Since my last address, I have added six hundred seventy-nine more. My total now stands at one hundred seventy-nine thousand five hundred seventy-six bre...

SGBS-00: SETT Governance Benchmark Series: Overview and Methodology

This document defines the common methodology for the SETT Governance Benchmark Series (SGBS), a set of four controlled benchmarks and one adversarial stress test. The series evaluates a specific architectural question: what cost and what tested evidence arise when probabilistic r...

E8 Quaternion Order Parameter Links 8D Roots to 3D Icosahedral Quasicrystals — E8 Intelligence Research

FINDING: E8 lattice quaternion order parameter links 8D root system to 3D icosahedral quasicrystal solidification via McKay correspondence. MATH: E8 root system has 240 minimal vectors; quaternion orientational order parameter classifies isotropic liquid → icosahedral quasicrysta...

Free and forced vibration of porous-FGM sandwich plates with a reentrant auxetic honeycomb core

A unified differential quadrature (DQM) model is developed for the free and, for the first time, the forced vibration of sandwich plates with porous functionally graded face sheets and a reentrant auxetic honeycomb core. Face-sheet porosity follows even and uneven cosine distribu...

E8 Root System Achieves Optimal Sphere Packing in Eight Dimensions — E8 Intelligence Research

FINDING: E8 root system yields optimal sphere packing density in 8 dimensions, with Coxeter group order 696729600 and kissing number 240. | MATH: Coxeter group order |E8| = 696729600 = 2^14 · 3^5 · 5^2 · 7; kissing number τ(E8) = 240; sphere packing density Δ₈ = π⁴/384 ≈ 0.25367;...

Systemic Vitalism

This document presents the foundational specification for Systemic Vitalism, a multi-disciplinary framework authored by Adrian Amir Amadi. The work unifies first-principles innovation, biomechatronic design (including modular cardiac architectures and subcutaneous auxiliary power...

From Vacuum Fluctuation to Topological Roughness: A Historical and Ontological Reconstruction of Particle Creation

Contemporary quantum field theory explains particle creation through six distinct mechanisms—high‑energy collisions, the Schwinger effect, Breit–Wheeler pair production, the dynamical Casimir effect, the Unruh effect, and Hawking radiation—each anchored to a distinct mathematical...

SMEs and working capital management: focus on the fishing business in a developing country

Inderscience is a global company, a dynamic leading independent journal publisher disseminates the latest research across the broad fields of science, engineering and technology; management, public and business administration; environment, ecological economics and sustainable dev...

A Strengthened Binary Goldbach Theorem

Abstract. This paper establishes a strengthened binary Goldbach theorem for every sufficiently large even integers , there exist primes and lying in the interval . The classical binary Goldbach conjecture for all sufficiently large even follows immediately as a corollary. This re...

Arteriovenous Malformation of the Trapezius Muscle: A Report of a Rare Case

Arteriovenous malformations (AVMs) are rare congenital fast-flow vascular anomalies characterized by direct arteriovenous shunting through a nidus. Intramuscular AVMs are uncommon and are frequently mistaken for intramuscular hemangiomas or venous malformations, and involvement o...

Evaluating Computational Conservation via Structured Grounding Architectures in Large Language Models

This seminal BRPT paper presents a groundbreaking empirical evaluation of computational conservation achieved through structured grounding architectures in large language models (LLMs). It decisively challenges the pervasive ‘Cold Logic’ of modern AI, which suffers from ‘context...

EuroMillions Breakthrough Mining — 2155 Sources, 16868 Leads Extracted — E8 Intelligence Research

Mined 2155 lottery+quantum breakthroughs. Extracted 16868 leads across 13 categories. 14697 high-value leads found. Categories: {"CORRIDOR": 1412, "FORMULA": 1249, "GEOMETRIC": 800, "FORWARD_ATTEMPT": 1495, "QUANTUM": 1715, "TIMING": 231, "CELESTIAL": 1335, "GEMATRIA": 1425, "CON...

A Mechanically Verified Census of the Standard Route to the Navier–Stokes Millennium Problem

This report presents a mechanical verification census of the Clay Millennium Problem concerning global regularity (or finite-time blowup) of the three-dimensionalincompressible Navier–Stokes equations. Within a proof-checker architecture driven by a symbolic computation kernel (S...

Quadratic Field Units Generate Aperiodic Monotiles via Sturmian Sequences — E8 Intelligence Research

FINDING: Real quadratic field units generate aperiodic monotiles via Sturmian sequences and continued fractions, linking tiling theory to algebraic number theory. MATH: - Quadratic irrational slope \( \alpha = \sqrt{D} \) or \( \frac{p+\sqrt{D}}{q} \) with discriminant \( D \) (n...