Research works

PDSM-NT Primordial Vortex Number Theory — The Octa-Ridge Ring Topological Structure Theory of Primes

Abstract: This paper establishes a novel unified system of number theory and geometry, namely the PDSM-NT Primordial Vortex Number Theory. Abandoning the traditional one-dimensional number line paradigm for prime research, this theory breaks the inherent limitations of elementary...

Conway's Leech Lattice Construction and the Golden Ratio in Extremal Theory — E8 Intelligence Research

FINDING: Conway's simple construction of the Leech lattice in 24 dimensions, with implicit connections to the golden ratio via extremal lattice theory and elliptic curve Néron-Tate heights. MATH: The Leech lattice is the unique even unimodular lattice in 24 dimensions with no vec...

A formulation integrating the code recommendations for the design of steel fiber reinforced concrete (SFRC) beams with redundant supports

Abstract An experimental program was conducted to evaluate the effectiveness of replacing conventional reinforcement by steel fiber reinforcement in the hogging region of continuous shallow beams (with redundant supports). Seven groups of steel fiber reinforced concrete (SFRC) co...

Synesthesia: Mechanisms, Mappings, and the Geometry of the Senses

Synesthesia — the automatic, involuntary coupling in which one stimulus (an inducer) triggers an additional percept (a concurrent) in a second pathway — is examined across neuroscience, genetics, linguistics, information theory, and the philosophy of mind. One thesis runs through...

EuroMillions Breakthrough Mining — 1600 Sources, 11513 Leads Extracted — E8 Intelligence Research

Mined 1600 lottery+quantum breakthroughs. Extracted 11513 leads across 13 categories. 9553 high-value leads found. Categories: {"CORRIDOR": 951, "FORMULA": 798, "GEOMETRIC": 702, "FORWARD_ATTEMPT": 994, "QUANTUM": 1207, "TIMING": 195, "CELESTIAL": 884, "GEMATRIA": 941, "CONSTANT"...

Service Learning through Rehabilitating a Green Roof

Abstract As climate change and increased development in urban areas increasingly impact communities, universities need to take a larger role in sustainability education, with a focus on green infrastructure solutions. This case study describes a cocurricular service-learning proj...

When the Brain Seems to Betray Us: The Paradox of Selective Development, Long-Term Developmental Asymmetry, and Changing Environmental Demands

Human beings develop through selection. By repeatedly investing experience, attention, and practice in particular domains, they acquire expertise that evenly distributed effort could never produce. Yet the success of selective development can conceal a second trajectory: the rela...

“I Was Determined to Take Control of My Own Body”: Self‐Managed Abortion in the US Appalachian Region

ABSTRACT Background Many people living along the Appalachian mountain region, which spread down the eastern side of the United States, experience limited access to abortion care and report high levels of distrust in health care providers. Therefore, Appalachians are likely to hav...

Impact of the COVID-19 Pandemic on Dentistry: Clinical, Educational, and Professional Implications

AbstractThe COVID-19 pandemic brought unprecedented changes to healthcare delivery worldwide, with dentistry being disproportionately affected due to the close proximity topatients and frequent use of aerosol-generating procedures. Restrictions on routine dental care, heightened...

E8 Hyperbolic Floquet Topology at 132Hz Unifies Qubit Protection and Market Geometry — E8 Intelligence Research

The phi-scaled 132Hz strain field drives the 240 E8 root vectors into Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

States of Matter and Phase Transitions: The Emergence of Collective Topological Organization — Volume IV of the Axiomatization of Chemistry in the Global-Realism Framework

This manuscript is Volume IV of the program that seeks to axiomatize chemistry within the established global-realist framework. Its purpose is to derive the macroscopic states of matter and the laws of phase transitions from the previously admitted microscopic ontology, without i...

The Three-Gate Architecture: Inspection, deployment and allocation in the governance of frontier artificial intelligence

Frontier artificial intelligence is acquiring governance arrangements before comprehensive legislation has assigned stable decision rights over its most consequential capabilities. This working paper examines whether recent developments are better understood by separating three d...

Phi‑Coupled E8 Inertial Lattice Engine — E8 Intelligence Research

We propose the Phi‑Coupled E8 Inertial Lattice Engine (PEILE), a propulsion concept that harnesses the simultaneous excitation of the 240 root vectors at a bi‑modal phi‑locked 132 Hz/1056 Hz resonance to generate a self‑sustaining geometric potential well. The resulting topologic...

Self Ligating Brackets: Evolution and Design Concepts- Part 2

AbstractSelf ligating brackets have undergone significant evolution since their initial introduction, aiming to improve efficiency and biomechanics in orthodontic treatment. Early designs focused on eliminating the need for ligatures, reducing friction and chairside time. Over ti...

Reframing Analog Scarcity: Leveraging Parental Tacit Knowledge into Digital Intellectual Property for Asymmetry in Modern Wealth Creation

In contemporary economic discourse, the offspring of working-class or economically modest families areconventionally viewed as starting from a position of structural disadvantage. Existing literature onintergenerational mobility predominantly focuses on two pathways for the digit...

MODEL ADOPTION #826: REJECT — VIDEO SCOUT: The Best Gold Trading Strategy I Have Tested(with Results) — E8 Intelligence Research

DECISION: REJECT ELEMENT: No single rule survives hostile scrutiny. The Fib pullback entry (0.618–0.786 zone) is a lagging structure — it requires price to retrace *after* a move, which directly conflicts with E8's rhythm-based entries that fire *before* or *at* the turn. The 6.8...

Severe Dupilumab-Associated Psoriasis Flare After Switching From Ustekinumab for Biopsy-Proven Eczematous Dermatitis: A Case Report

Dupilumab is an effective treatment for moderate-to-severe atopic dermatitis but has been increasingly associated with paradoxical psoriasis and psoriasiform manifestations. Severe exacerbation of pre-existing psoriasis following dupilumab therapy remains uncommon and presents a...

"E8 Phi-Matrix: Entanglement via Soliton Geometric Harmonics" — E8 Intelligence Research

By arranging the E8 lattice's 240 root vectors into a phi-scaled matrix triggered at 132Hz harmonics, stable soliton wavefronts form that dynamically entangle quantum states without decoherence. The matrix's geometry mirrors the lattice's root vectors, creating a self-referential...

Vinylogous Mannich Cyclization for the Stereoselective Construction of trans ‐2‐Alkenyl‐3‐Aminophenyl‐Dihydrobenzofuran and ‐Dihydroindole Derivatives

In this study, we have established a base‐mediated intramolecular vinylogous Mannich reaction, providing a straightforward approach for constructing structurally diverse dihydrobenzofuran and dihydroindole frameworks, which are commonly found in biologically active compounds. Pre...

E8 Phi‑Resonant Cortical Waveguide for Gravitational‑Neural Transduction — E8 Intelligence Research

The phi‑scaled phase rotation of the 240 E8 root vectors at the 132 Hz cortical rhythm creates a standing soliton lattice that acts as a waveguide for spacetime‑torsion modes. When low‑frequency gravitational waves perturb this lattice, the chiral‑torsion solitons shift phase in...