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Radial Icosahedral Sampling and Its First Harmonic Obstruction: Exact degree-six activation and Euler–Maclaurin coefficients

Matthew Newman2026-08-20Zenodo (CERN European Organization for Nuclear Research)

Preprint — mathematical results and reproducibility package. Let X_f ⊂ S² be the complete frequency-f Class-I grid obtained by barycentrically subdividing the twenty planar faces of a regular icosahedron and radially projecting every node to the unit sphere. For the equal-node probability measure μ_f, this paper prove…

Mathematical Approximation and IntegrationQuasicrystal Structures and PropertiesMathematical functions and polynomials

Tailoring Optical Characteristics of MoS 2 Nanosheets Exfoliated via Sodium Cholate and Green Tea Extract for Highly Efficient Forster Resonance Energy Transfer

Ankita Sarma、Ayswarya Mukharjee、K. Rathinasamy 等 4 位作者2026-08-20International Journal of Nanoscience

Efficient and green exfoliation of bulk MoS 2 into few-layer nanosheets remains challenging due to its intrinsic hydrophobicity and van der Waals interlayer forces. Although pure water is an ideal solvent for sustainable processing, solubility theory and experiments show that MoS 2 nanostructures rapidly aggregate in…

Organic Electronics and Photovoltaics2D Materials and ApplicationsThin-Film Transistor Technologies

From Magnetic Fibers to Paper Architectures: A Lightweight Strategy for Robust Low‐Frequency Microwave Absorption

You Wu、Yanlong Li、Haitong Sun 等 8 位作者2026-08-20Advanced Science

ABSTRACT Efficient low‐frequency microwave absorption is a long‐standing challenge: carbonaceous absorbers demand bulky, centimeter‐scale thicknesses, while conventional magnetic absorbers rely on high loadings of dense magnetic filler‐ making both impractical for compact, weight‐sensitive systems. Here, we integrate…

Advanced Antenna and Metasurface TechnologiesElectromagnetic wave absorption materialsMetamaterials and Metasurfaces Applications

FormalTCS: Benchmarking End-to-End Frontier Formal Theoretical Computer Science Research of Large Language Models

Dingzirui Wang、Xuanliang Zhang、Keyan Xu 等 5 位作者2026-08-20arXiv (Cornell University)

Large language models (LLMs) have shown growing potential for automated theoretical computer science (TCS) research, yet existing benchmarks remain far from realistic research settings. We introduce \ourbenchmark, an expert-validated benchmark for evaluating LLMs on frontier, end-to-end TCS research. \ourbenchmark con…

Topic ModelingMachine Learning in Materials ScienceComputational and Text Analysis Methods

Large-scale structure prediction of DUF-containing protein-protein interactions

Lino Riepenhausen、Francesco Costa、Antonina Andreeva 等 4 位作者2026-08-20bioRxiv (Cold Spring Harbor Laboratory)

Motivation: Continuing advances in genome and metagenome sequencing expand the number of identified conserved protein families that remain functionally uncharacterized and contain domains of unknown function (DUFs). Functional-association resources such as STRING provide biological context, but mostly do not distingui…

Vitamin K Research StudiesEnzyme Structure and FunctionBiotin and Related Studies

Strange Metal Hall Effect in Underdoped BaFe$_2$(As$_{1-x}$P$_x$)$_2$

Augusto Ghiotto、Darian Hall、Yuanqi Lyu 等 10 位作者2026-08-20arXiv (Cornell University)

The unusual transport properties of strange metals point to the breakdown of the quasiparticle picture, the understanding of which remains one of the most vexing problems in physics. Here, we report investigations of the electrical Hall effect of the strange metal superconductor BaFe$_2$(As$_{1-x}$P$_x$)$_2$. We show…

Rare-earth and actinide compoundsSuperconductivity in MgB2 and AlloysIron-based superconductors research

Mathematical Phase Alignment Theory

Jincheng Zhang2026-08-20Zenodo (CERN European Organization for Nuclear Research)

This paper introduces a novel framework called Mathematical Phase Alignment Theory (MPAT) that formalizes the intuition that diverse mathematical domains can exhibit coherent phase relationships when appropriately mapped. Central to this framework is the Alignment Operator, a construct that aligns the intrinsic phase…

Quantum many-body systemsQuasicrystal Structures and PropertiesTopological Materials and Phenomena

Mathematical Energy Landscape

Jincheng Zhang2026-08-20Zenodo (CERN European Organization for Nuclear Research)

This paper develops a unified conceptual and analytical framework for the study of energy landscapes in mathematics. We show that a wide class of mathematical theories can be interpreted through the geometry of an associated scalar potential function, or "energy," defined on a suitable domain. By examining the critica…

Machine Learning in Materials ScienceQuantum many-body systemsModel Reduction and Neural Networks

From a 121-Node Toroidal Lattice to the Continuum: Exact Spectral Structure and a Parameter-Free Limit to π

sree Debasish Dasgupta2026-08-20Zenodo (CERN European Organization for Nuclear Research)

This paper presents a first-principles mathematical audit and consolidation of the 11×11 (121-node) toroidal triangular-lattice constructions developed within the Unified Harmonic Constant Theory (UHCT) research programme.The primary purpose of this work is not to preserve earlier theoretical claims uncritically, but…

Quantum Mechanics and Non-Hermitian PhysicsNonlinear Photonic SystemsQuasicrystal Structures and Properties

Valley- and Spin-Dependent Electronic and Transport Properties of Two-Dimensional Altermagnetic Titanium-Based Chalcogenide Halides

Ruo-Yu Ning、Zhi-Hua Yan、Jin-Yang Li 等 5 位作者2026-08-20arXiv (Cornell University)

Altermagnets (AMs) combine fully compensated magnetization with momentum-dependent spin splitting, yet intrinsic altermagnetic materials exhibiting exceptional valley characteristics remain scarce. Here, we identify monolayer titanium-based chalcogenide halides, Ti$_2X_2Y$ ($X$ = F, Cl, Br, I; $Y$ = O, S, Se, Te), as…

Iron-based superconductors researchTopological Materials and Phenomena2D Materials and Applications

Computational Order Breaking

Jincheng Zhang2026-08-20Zenodo (CERN European Organization for Nuclear Research)

This paper investigates the phenomenon of order breaking in computational systems, specifically focusing on scenarios where a system initially possesses a high degree of order symmetry, and subsequently, through the introduction of a constraint, this symmetry is abruptly diminished. The core concept explored is algori…

Origins and Evolution of LifeQuasicrystal Structures and PropertiesConstraint Satisfaction and Optimization

Computational Phase Transition

Jincheng Zhang2026-08-20Zenodo (CERN European Organization for Nuclear Research)

This paper explores the concept of computational phase transitions, focusing on the abrupt shifts in algorithmic behavior triggered by changes in computational parameters. Unlike traditional phase transitions in physics, these transitions occur within the realm of computation, often manifesting as unexpected changes i…

Machine Learning in Materials ScienceEvolutionary Algorithms and ApplicationsQuantum many-body systems

Radial Icosahedral Sampling and Its First Harmonic Obstruction: Exact degree-six activation and Euler–Maclaurin coefficients

Matthew Newman2026-08-20Zenodo (CERN European Organization for Nuclear Research)

Preprint — mathematical results and reproducibility package. Let X_f ⊂ S² be the complete frequency-f Class-I grid obtained by barycentrically subdividing the twenty planar faces of a regular icosahedron and radially projecting every node to the unit sphere. For the equal-node probability measure μ_f, this paper prove…

Quasicrystal Structures and PropertiesMathematical Approximation and IntegrationMathematical functions and polynomials

Exploring Relativistic Effects and Optical Phenomena in Condensed Matter Systems: First-Principles Quantum Simulation with GW Approximation and Bethe-Salpeter Equation

Sampreeti Bhattacharya2026-08-20UNC Libraries

In recent decades, solid-state chemistry has made remarkable strides, highlighting the diverse applications of condensed matter systems. This progress underscores the critical importance of leveraging quantum mechanical calculations combined with machine learning algorithms to identify and predict the properties of ov…

2D Materials and ApplicationsChemical and Physical Properties of MaterialsAdvanced Physical and Chemical Molecular Interactions

Linking molecular antioxidant activity to polyurethane foam stability - the case of Abies marocana essential oil

Mohamed El Bakkali、Dalal K. Thbayh、Dóra Mentes 等 12 位作者2026-08-20Scientific Reports

Abstract In this work, compounds from Abies marocana essential oil (AMEO) were studied for their antioxidant potential using density functional theory (DFT) calculations at the M06-2X/6-311 + G(d,p) level of theory. The antioxidant activity was evaluated through three mechanistic pathways: hydrogen atom transfer (HAT)…

Polymer Foaming and CompositesPolymer composites and self-healingFlame retardant materials and properties

Mathematical Structural Phase Field

Jincheng Zhang2026-08-20Zenodo (CERN European Organization for Nuclear Research)

This paper introduces a novel theoretical framework called the Mathematical Structural Phase Field (MSPF) which treats a mathematical system as a dynamic entity capable of existing in multiple structural states rather than a fixed configuration. We formalize the concept of a Structure Field, a function that assigns to…

Model Reduction and Neural NetworksNonlinear Dynamics and Pattern FormationSolidification and crystal growth phenomena

Laimosemion laranja Abrantes, Lima, Nielsen, Lira, Silva & Berbel-Filho, 2026, sp. nov.

Yuri Gomes Abrantes、Sergio Maia Queiroz Lima、Dalton Tavares Bressane Nielsen 等 6 位作者2026-08-20Zenodo (CERN European Organization for Nuclear Research)

Laimosemion laranja sp. nov. Figs 2, 3 Holotype. INPA-ICT 062600, 26.8 mm SL, male, Brazil, Amapá, Laranjal do Jari municipality, Igarapé Massaranduba, Rio Cajari, tributary of the Rio Amazonas Basin, 00°48'43.46"S, 052°28'47.56"W, 21 Jun 2025, S. Lima, W. Berbel-Filho, Y. G. Abrantes. Paratypes. All from Brazil, Amap…

Aquatic Ecosystems and Phytoplankton DynamicsDiatoms and Algae ResearchPlant Diversity and Evolution

ANTIBACTERIAL EFFECTIVENESS OF SELECTED SEED EXTRACTS AND GREEN-SYNTHESIZED MAGNESIUM OXIDE NANOPARTICLES IN CONTAMINATED-WATER TREATMENT

IORNUMBE, S. M., 12026-08-20Zenodo (CERN European Organization for Nuclear Research)

ANTIBACTERIAL EFFECTIVENESS OF SELECTED SEED EXTRACTS AND GREEN-SYNTHESIZED MAGNESIUM OXIDE NANOPARTICLES IN CONTAMINATED-WATER TREATMENT IORNUMBE, S. M., 1 1Department of Environmental Science, Joseph Sarwuan Tarka University, Makurdi, Benue State, Nigeria. Corresponding email: Contact: Abstract Bacterial contaminati…

Nanoparticles: synthesis and applicationsChromium effects and bioremediationFecal contamination and water quality

Title: Mathematical Renormalization Theory

Jincheng Zhang2026-08-20Zenodo (CERN European Organization for Nuclear Research)

Renormalization has long been a cornerstone of theoretical physics, providing a systematic framework to remove infinities that arise in the description of physical systems across multiple scales. In mathematics, however, the phenomenon of infinite complexity emerges naturally in various contexts, ranging from fractal…

Quasicrystal Structures and PropertiesAdvanced Mathematical Theories and ApplicationsMathematical Dynamics and Fractals