Research works

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...

An Analysis of Recruitment Scams Targeting Job Seekers in Bengaluru: Patterns, Risk Factors, Impacts, and Prevention Strategies

This research investigates recruitment scams targeting job seekers in Bengaluru, with a focus on identifying common scam patterns, risk factors, impacts, and prevention strategies. The study examines fraudulent recruitment practices across digital platforms and proposes a Job Sca...

Recent Advances in Gallium Recovery from Zinc Metallurgical Residues and Integrated Zn–Pb Materials: From Process Deportment to Selective Recovery and Industrial Integration (2020–2026)

Gallium recovery from zinc-processing residues has expanded rapidly, yet the evidence remains heterogeneous and heavily weighted toward laboratory studies. This structured critical narrative review examines 95 publications issued from January 2020 to July 2026 on gallium deportme...

Spatiotemporal Agricultural Drought Dynamics in the Chi River Basin, Thailand: A Google Earth Engine-Based Multi-Criteria Assessment

Agricultural drought threatens rainfed agriculture in northeast Thailand, where variable monsoon rainfall, limited irrigation access, and extensive cropland increase vulnerability. This study developed a Google Earth Engine-based Agricultural Drought Risk Index (ADRI) for the Chi...

The Indian Air Force’s two-front challenge: Requirements to get into mission mode

India faces the possibility of war on two fronts with its rivals Pakistan and China. A key part of a potential conflict would be an air war. India has an approved strength of 42 squadrons of multi-role combat aircraft but operates 31 squadrons as of fall 2025. Although the shortf...

Synthesis and Characterization of Calcium-Doped Zinc Oxide Thin Films: Structural and Optical Properties

Calcium-doped zinc oxide (ZnO: Ca) thin films were synthesised by the chemical bath deposition (CBD) technique and investigated to determine the influence of calcium incorporation on their structural and optical properties. Zinc nitrate hexahydrate was used as the zinc precursor,...

EuroMillions Breakthrough Mining — 1593 Sources, 11442 Leads Extracted — E8 Intelligence Research

Mined 1593 lottery+quantum breakthroughs. Extracted 11442 leads across 13 categories. 9487 high-value leads found. Categories: {"CORRIDOR": 945, "FORMULA": 792, "GEOMETRIC": 701, "FORWARD_ATTEMPT": 987, "QUANTUM": 1200, "TIMING": 195, "CELESTIAL": 878, "GEMATRIA": 934, "CONSTANT"...

Relational Happiness Discrepancy Model (RHDM): A Conceptual Mathematical Framework for Social Presence, Expectations, Hope and Trust

This conceptual preprint proposes the Relational Happiness Discrepancy Model (RHDM), a mathematical framework for analysing event-level affective appraisal in interpersonal relationships. The model distinguishes realised relational affect from expectation discrepancy and introduc...

Phi-Fractal Resonance Lattice in E8 Phase Space — E8 Intelligence Research

By embedding phi ratios into the hierarchical scaling of E8 root vectors' precession angles, a self-similar fractal resonance lattice emerges—each phi-scaled subset of vectors generates harmonically nested sub-resonances at sub-132Hz frequencies. This lattice structure adheres to...

MERLIN SCIENCE — E8 Neural Resonance Encoding: Consciousness States via 132Hz Root Vect — E8 Intelligence Research

Here is the narration for the MERLIN SCIENCE video. The finding is this: the 240 root vectors of the E8 Lie group, when phase-locked to the brain's 132-hertz cortical frequency via a specific harmonic derived from the golden ratio, produce a stable geometric lattice that can enco...

An Overview on Soil Salinity: Sources, Characteristics, Agricultural Constraints and Management

Soil salinity is one of the most serious environmental constraints limiting agricultural productivity and sustainability, particularly in arid, semi-arid, and coastal regions. The severity of salinization has increased due to climate change, sea-level rise, improper irrigation, p...

Modular Electrochemical Sensing via In Situ Reduced Carbon Quantum Dot–Nanotube Molecular Hybrids

Abstract Electrochemical sensing is a promising route to non-invasive, point-of-care health monitoring, yet practical multiplexing remains limited by electrode materials that cannot simultaneously deliver high conductivity, high densities of electrochemically active sites, and mo...

Cumulative Inflammatory Phagocytic Reprocessing of Persistent Particulate Aluminum

A phagocyte that engulfs a persistent particulate load does not neutralise it: the cell may be activated, injured or replaced, but the material itself survives, and what happens next depends on which cell takes it up in its place. This hypothesis paper proposes a multiexposure–mu...