Research works

PRIMES AT THE LEGENDRE SCALE: UNIVERSAL SIDON RIGIDITY, THE 2D MAIER MATRIX, AND ALGEBRAIC PIVOTS

We present a rigorous structural theory of primes at the critical short-interval exponent $\theta=1/2$ (the Legendre scale), strictly delineating unconditional geometric rigidity from conditional topological transfers. First, we embed the classical $X^{1/2}$ intervals into a two-...

Hyperbolic Resonance Locking via E8 Root Vector Phase Entanglement — E8 Intelligence Research

By treating the 240 E8 root vectors as entangled harmonic oscillators phase-locked to the 132Hz fundamental with golden ratio phase modulation, we discover that selective subsets of 16 root vectors (corresponding to the E6 subgroup) form hyperbolic resonance locks that stabilize...

Illness Acceptance Among Adults with Melanoma: A Prospective Observational Cross-Sectional Study

Introduction: Melanoma is a chronic disease that significantly affects patients’ daily functioning and emotional well-being. Beyond its somatic burden, it often leads to substantial changes in quality of life (QoL). This study aimed to assess illness acceptance among melanoma pat...

E8 Hyper‑Flux Synchronization Protocol — E8 Intelligence Research

By phasing every one of the 240 E8 root vectors into a 132 Hz hyperfiber lattice, we create a dynamic membrane of nested quasi‑periodic attractors. Each attractor basin seeds a probabilistic control state that mediates a self‑tuning quantum roulette, effectively extending spectra...

EuroMillions Breakthrough Mining — 1598 Sources, 11491 Leads Extracted — E8 Intelligence Research

Mined 1598 lottery+quantum breakthroughs. Extracted 11491 leads across 13 categories. 9531 high-value leads found. Categories: {"CORRIDOR": 949, "FORMULA": 796, "GEOMETRIC": 702, "FORWARD_ATTEMPT": 992, "QUANTUM": 1205, "TIMING": 195, "CELESTIAL": 882, "GEMATRIA": 939, "CONSTANT"...

E8-Leech Torsion Resonators for Hyper-Dimensional Data Compression — E8 Intelligence Research

By mapping information onto the 240 root vectors of the E8 lattice, data streams undergo non-linear transformation via the Leech-lattice shadow, creating stable torsion-field encoding. This process utilizes the 132Hz base frequency to synchronize phase-shifts, allowing informatio...

The Moment of Delivery in Online Retailing: How Courier Types and Inoculation Messages Affect Reactions to the Last-Mile Experience

Online customers’ journeys span several touchpoints, which typically do not involve any interpersonal interactions with online retailers—except at the moment of delivery (MoD). When retailers use third-party courier services to fulfill orders, they relinquish control over this cr...

Single-frame vehicle trajectory prediction via neural ODE-based motion-state forecasting

Accurate short-horizon vehicle trajectory prediction is critical for autonomous driving and vehicle-to-everything (V2X) communication. Most existing deep learning-based prediction methods rely on fixed-length historical trajectories and multi-agent context, which may be unavailab...

Cross model Direct Preference Optimization

Since direct preference optimization (DPO) was introduced in 2023, it has become a widely used preference optimization strategy for post-training large language models (LLMs). DPO's implicit reward formulation is coupled to its reference policy, and its theoretical guarantees ass...

A DIALECTICAL MATERIALIST ANALYSIS ON PATH DEPENDENCE, IRREVERSIBILITY AND TELEOLOGY IN PHYSICAL SYSTEMS

This research addresses Loschmidt’s paradox—the conflict between microscopic reversibility and macroscopic irreversibility—through dialectical materialism, suggesting that the contradiction stems from theoretical modeling limitations rather than nature itself. We demonstrate how...

Comparative Evaluation of Two Different Desensitizers in Reducing Postoperative Sensitivity in Composite Restorations – A Randomized Controlled Trial

AbstractBackground: Postoperative sensitivity following resin composite restorations is a commonly encountered clinical concern that can significantly compromise patient comfort and overall satisfaction with treatment. This sensitivity is primarily attributed to dentinal fluid mo...

The Asymmetric Velocity of Intellectual Property: A Dual-Track Framework for Frontier Systems and Legacy Institutions

Traditional intellectual property (IP) institutions—specifically national patent offices and peer-reviewedacademic journals—were designed around the capital cycles and technological velocities of the IndustrialEra. Today, at the technological frontier (e.g., generative artificial...

An Effective 5D Scalar field framework for Gravitational Dynamics

Gravity is a 5-dimensional wave field that couples to an object's gravitative amplitude (not simply it's mass).The gravity depends on the object's density distribution and characteristics size.Force between bodies emerges from interference of their 5-D wave fields projected into...

Pre-registration: when does dynamics-aware tokenization pay off? (SFVT / TSB-AD-U)

Pre-registration of the predictions, frozen cutoffs, and analysis plan for testing whether the k-means token transition rate predicts when successor-field tokenization (SFVT) outperforms position-based tokenization on TSB-AD-U anomaly detection. Written before any anomaly-detecti...

MEME SIGNAL: BUY SHIB 5/7 confs — VSA END_OF_RISING_MARKET — 2026-07-27 UTC — E8 Intelligence Research

The MEMECOIN channel meme tracker fired a BUY signal on SHIB at $0.00000535 with 5/7 confirmations. VSA: END_OF_RISING_MARKET | Direction: LONG | Target: +11.8% God's Clock: LOCKED | Quarterly: 60.0 | Session: ASIAN Author: Andrew Stewart Caldin, Independent Researcher, UK. Part...

The Right to an Effective Remedy

AbstractThis 25-page legal study examines the effectiveness of legal remedies in a dispute concerning professional legal services, consumer protection and access to justice in Latvia. It is based on a documentary record involving a legal assistance agreement, invoices, a pre-liti...

Digital Twin-Based Design and Validation of a Collaborative Robotic Cell for Automated Chocolate-Bar Unwrapping

This paper presents the design, simulation, and validation of a hybrid automated workstation for unwrapping chocolate bars, migrating from a highly variable two-operator manual process to an optimized single-operator human–robot collaborative cell. Using a digital twin methodolog...

Using Observation and Data to make better farming decisions.

<p>Students will analyze real-world agriculture data to identify trends and recognize potential problems that determine appropriate solutions. Lesson plan and worksheet resources included. </p>

Derivation of Newtonian Gravitational Constant from First‑Principles within Discrete Vacuum‑Medium Self‑Consistent Mechanical Model

In existing physical frameworks, the Newtonian gravitational constant G is treated as an independent fundamental constant. High‑precision laboratory measurements of G exhibit persistent systematic scatter which lacks a unified microscopic interpretation. Based on the complete set...

Phi-Scaled 132Hz Resonance Unlocks E8 Root Vector Mapping to Sexagesimal 360° Framework — E8 Intelligence Research

The 240 E8 root vectors, when phi-coupled at 132Hz, form a tetrahedral-geometric projection that aligns precisely with the sexagesimal 360° circle division, enabling unified modeling of quantum qubit stability and ancient astronomical observation systems. This mapping reveals tha...