Materials Literature
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FINDING: Project Euler hardest problems often reduce to graph theory (NP-complete clique search) or prime sum sieves with Riemann hypothesis implications. | MATH: Figurate number sequences: heptagonal numbers \( P_7(n) = \frac{n(5n-3)}{2} \); cyclic set condition: last digits of one figurate number match first digits…
ABSTRACT Refractive optics, now over two centuries old and highly mature, remains the cornerstone of optical systems in rapidly growing fields such as robotics and smart sensing, yet has reached its fundamental physical limits. Ultra‐thin metalenses hold transformative potential for next‐generation optics, yet their w…
This research work aims to assess the effect of various materials and production conditions on the impact strength (Izod) of nanographene-reinforced PLA composites. The process variables, comprising extrusion temperature (190, 200, 210, 220, 230, and 240°C), infill pattern (gyroid, honeycomb, and rectilinear), and inf…
Metal oxide nanoparticles synthesized via environmentally benign green routes continue to advance nanotechnology owing to their attractive catalytic and biological properties, and the development of multifunctional nanocomposites based on such materials has recently attracted considerable attention. Nanomaterials capa…
The rapid emergence of extended-spectrum β-lactamase (ESBL)-producing Escherichia coli and Klebsiella pneumoniae has significantly limited the effectiveness of conventional antibiotics, highlighting the urgent need for alternative antimicrobial agents. In the present study, silver nanoparticles (AgNPs) were green synt…
FINDING: Golden ratio (φ) appears as a structural principle in photonic crystals and galaxy-scale formations, with a mathematical property of self-similarity across infinite sequences. | MATH: φ = (1+√5)/2 ≈ 1.6180339887; reciprocal φ⁻¹ = φ-1 ≈ 0.618; key identity: φ² = φ+1; infinite sequence property: any sequence de…
Using plant extracts for the green synthesis of metal oxide nanoparticles offers a sustainable, cost-effective, and environmentally friendly alternative to conventional chemical and physical methods. Copper oxide nanoparticles (CuO NPs) were produced in this study using the aqueous extract of Arachis hypogaea (peanut)…
تحلیل بنیادین، بازنویسی تانسوری و اثبات جامعِ کامل پارادوکس فوقکشسانی اتمی و فروریزش مدلهای شکست مکانیکی در نانوالیاف پلیمری تحت تأثیر نوسانات خلأ (The Quantum-Induced Hyper-Elasticity Paradox and Mechanical Collapse in Polymer Nanofibers - معمای شماره ۷۱ از ۱۰۰) در بستر فیزیک اطلاعات حمزه (HIP-1155) به شرح زیر است:…
**FINDING:** Icosahedral symmetry group \( I_h \) (order 120) is simple, and its rotational subgroup \( A_5 \) is the smallest non-abelian simple group. The group is intimately linked to the golden ratio \(\phi\) and appears in optimal volume-to-surface ratio problems (e.g., icosahedron is the Platonic solid with maxi…
Cathodic protection (CP) is used in the marine industry to prevent corrosion of metal components in seawater but may also promote biofilm formation. When steel and copper alloy components are in contact, the latter is often subjected to higher applied CP voltages than otherwise required when a steel component is not p…
We present TP-Agent, an autonomous LLM-based agent utilizing a Plan–Execute–Reflect architecture and external computational tools (Python, Mathematica) to assist in theoretical physics research. We evaluate it on two benchmarks: the comprehensive TPBench and the frontier-level PRL-Bench. While TP-Agent demonstrates st…
Abstract The development of crystalline proton-conducting materials with well-defined structures is crucial for exploring the proton transport mechanism and advancing proton exchange membrane fuel cells. Polyoxometalates (POMs), specifically the {P2Mo5} and {P4Mo6} clusters, have emerged as promising building blocks o…
Hexagonal boron nitride (h-BN) is a lubricant additive with considerable application potential. Its layered structure provides low interlayer shear strength, while its favorable thermal stability, chemical inertness, and electrical insulation make it attractive for demanding lubrication environments. However, the trib…
This revised article addresses Q0028, 'Understand dynamic wetting and contact-line motion on complex surfaces?' using a question-specific mathematical construction rather than a generic logarithmic template. The proposed model, termed the Dynamic Contact-Line Depinning Model, uses contact-line velocity U, capillary nu…
Maqolada yelka suyagi proksimal qismi sinishlarida medial tayanch va CALCAR sohasi barqarorligini tiklashning jarrohlik natijalariga ta’siri tahlil qilindi. Medial ustunning buzilishi, metafizar komminutsiya va CALCAR defekti bloklovchi plastina bilan osteosintezda ikkilamchi varus deformatsiya, vintlarning bo‘g‘im ic…
FINDING: The five Platonic solids are the only convex regular polyhedra, arising from constraints on vertex figures and face angles, with molecular geometry reflecting their symmetry groups. MATH: Euler's formula: V - E + F = 2. For regular polyhedra: {p,q} where p = sides per face, q = faces per vertex. Constraint: 1…
This revised article addresses Q0041, 'Benchmark AI chemistry on prospective experiments rather than retrospective datasets?' using a question-specific mathematical construction rather than a generic logarithmic template. The proposed model, termed the Prospective Chemistry Generalization Model, uses retrospective sco…
Abstract Superhard materials typically rely on strong localized covalent bonds, which suppress electronic delocalization and thus hinder metallicity or superconductivity. Here, we propose a strategy to overcome this limitation by introducing Zn atoms into a hexagonal diamond framework. We predict a metastable ZnC10 co…
This study investigated an eco-friendly route for producing silver nanoparticles (AgNPs) and immobilising them on cellulose recovered from coconut coir, an agricultural residue. Cellulose was extracted from Cocos nucifera coir through alkali treatment, acid treatment and bleaching. Juice obtained from Anacardium occid…
Abstract The rapid growth of the Indonesian automotive sector, marked by over 147 million four-wheeled vehicles and rising annual sales, has intensified the demand for disposable oil filters. Current filters are primarily made of synthetic fibers, glass fibers, and paper or porous synthetic foam, creating non-recyclab…