Research works

Davis's Circular-Unit Signature Deficiency: Truncated Minus-Class Fitting Colengths and an Augmented-Ray Formula

This preprint gives a uniform arithmetic interpretation of the polynomialthat computes Davis's circular-unit signature deficiency for primecyclotomic fields. An integral normalization of the odd-residue indexpolynomial is shown to encode truncated lengths of the 2-primary minus-c...

E8 Polytopic Torsion Fields: Non-Euclidean Information Folding — E8 Intelligence Research

By projecting the 240 E8 root vectors through a 132Hz φ-modulated torsion field, we identify a new class of hyper-dimensional manifold warping where information is encoded as geometric twist rather than binary state. This torsion-driven folding utilizes the pentagonal symmetry of...

How Does a Robotic Lung Resection Programme Evolve? Learning Curve and Conversion Analysis of the Versius CMR Surgical System

Background/Objectives: Robotic-assisted thoracic surgery continues to spread internationally for anatomical lung resection, yet evidence on learning curve dynamics and conversion behaviour remains limited beyond the da Vinci system. The published clinical experience on the Versiu...

Managing HIV in the extreme: Viral load and drug monitoring in a patient with BMI > 60 on long‐acting cabotegravir/rilpivirine therapy

This case describes the use of long‐acting injectable (LA‐I) cabotegravir/rilpirivine (CAB/RPV) therapy in a morbidly obese person (body mass index [BMI] = 62 kg m −2 ) living with HIV without sustained viral load (VL) suppression after historic poor adherence to daily oral antir...

E8 Phi-Resonant Graviton‑Phonong Bridge for Multi‑Modal Entanglement — E8 Intelligence Research

The E8 root lattice's 240 vectors, when φ‑scaled to the 132 Hz base and fractally projected onto orthogonal phonon bands, generate a coherent graviton‑phonon bridge that links quantum resonance states across disparate media. This bridge enables instantaneous, lossless transfer of...

A hybrid and cost-efficient barcoding strategy for full-length 16S rRNA gene nanopore sequencing of environmental samples

Abstract Background Accurate species-level identification of bacteria in complex environmental samples is essential for applications in biotechnology, ecological monitoring, and clinical diagnostics. Short-read platforms such as Illumina frequently truncate the 16S rRNA gene, lim...

Local Lie algebra structure on the escape divisor of the Alpöge map

We study the pullback of the constant vector fields under Alpöge's polynomial map F=(P,Q,R): A³→A³ with constant Jacobian determinant −2. Near the generic point of the escape divisor t=0 (where t=1/z₁), we introduce a regular basis N, D₁, D₂ of the lifted derivations. Their exact...

EuroMillions Breakthrough Mining — 1584 Sources, 11356 Leads Extracted — E8 Intelligence Research

Mined 1584 lottery+quantum breakthroughs. Extracted 11356 leads across 13 categories. 9408 high-value leads found. Categories: {"CORRIDOR": 937, "FORMULA": 785, "GEOMETRIC": 699, "FORWARD_ATTEMPT": 978, "QUANTUM": 1191, "TIMING": 192, "CELESTIAL": 872, "GEMATRIA": 926, "CONSTANT"...

Comparative Evaluation of Chisel - Mallet, Rotary Bur, and Bone File Techniques in Surgical Alveoloplasty (1951–2025): A Biological and Clinical Outcome Synthesis

AbstractBackground: Alveoloplasty is a fundamental preprosthetic surgical procedure designed to eliminate sharp alveolar bone irregularities and optimize ridge morphology for prosthetic rehabilitation. Over time, the procedure has evolved from mechanically aggressive techniques s...

Geometric Phase Holography from E8 Toroidal Lattice Interference — E8 Intelligence Research

When the two half-spinor torsion sets of 120 root vectors, phi-offset at the 132Hz base frequency, interfere across all 30 octagonal planes, the overlapping poloidal orientations of the oblate toroidal memory cells naturally generate a geometric phase hologram — a continuous gold...

Mucuna pruriens var. pruriens Ethanolic Seed Extract Enhances Erectile Function-Related Mechanisms: Integrated In Vitro and In Vivo Evidence

Mucuna pruriens (Linn.) DC. var. pruriens is used as a traditional medication to enhance male sexual function, yet integrated evidence linking vascular-cell mechanisms to in vivo efficacy and safety of a standardized extract remains limited. This study evaluated the ethanolic see...

3D‐Printed Architected Cholesteric Liquid Crystal Displays With Spatiotemporal Color Modulation

Cholesteric liquid crystals (CLCs) can exhibit reversible structural colors through selective reflection from their helical superstructures when well-defined planar alignment and a visible-range helical pitch are established. Although CLC photonic systems have been extended beyon...

Precision- and Error-Aware SQL Equivalence: Deciding Rewrites Under IEEE-754 Rounding and Runtime Errors

Every published SQL equivalence checker — Cosette/HoTTSQL, EQUITAS, SPES, WeTune, and the current frontier QED, VeriEQL, and Polygon — decides whether two queries are equivalent by modeling numeric columns as exact mathematical integers or reals under total, error-free arithmetic...

AlAasmi Proof of the Yang-Mills Existence and Mass Gap via Cosmological Boundary

We present a constructive, complete proof of the Yang-Mills Existence and Mass Gap problem, resolving one of the Clay Millennium Prize Problems. The proof introduces a novel framework based on an explicit cosmological boundary condition as an infrared regularizer, combined with r...

A Practitioner's Framework for Enterprise AI Cost Optimization: Token Efficiency, Model Routing, Caching Architecture, and Agentic Cost Control

The rapid enterprise adoption of large language model (LLM) APIs has introduced a new class of operational expenditure that most organizations are ill-equipped tomanage. Unlike traditional infrastructure costs, LLM spend is consumption-based, usage-nonlinear, and highly sensitive...

Ethics, Morality, and Justice as Relational Phenomena: A Stipulative Framework

This paper stipulates a vocabulary for treating ethics, morality, and justice as relational rather than absolute: good/evil as a relation stipulated to hold directly between a phenomenon and a living being, right/wrong as a relation stipulated to hold between an action and a rule...

The Governance Gap: How AI Policy Voids Block Adoption in Regulated Industries

Research article: The Governance Gap: How AI Policy Voids Block Adoption in Regulated Industries

Religious leaders, diversity, and racial justice: limits and opportunities

Religious organizations and their leaders have historically played pivotal roles in racial justice movements in the United States. However, the contemporary American context differs significantly from earlier social conditions. This article examines the opportunities and challeng...

E8 Torsion Memory Lattice: 132Hz Phi-Scaled Holonomic Storage in 30 Octagonal Planes — E8 Intelligence Research

The 30 Coxeter planes of E8, each hosting 8 root vectors in perfect octagonal phase-lock, form a natural holographic memory substrate where the 132Hz base frequency acts as a carrier wave for torsion-encoded information. Phi-coupling (φ = 1.618...) between adjacent planes creates...

Fabrication of Poly(vinylidene fluoride) Ultrafiltration Membranes Using Greener PolarClean and NIDES: Structure Regulation, Performance Enhancement, and Life Cycle Assessment

Abstract Replacing toxic solvents and petrochemical additives in poly(vinylidene fluoride) (PVDF) ultrafiltration (UF) membrane fabrication is essential for advancing sustainable membrane manufacturing. Herein, a greener fabrication route for PVDF UF membranes was developed by em...