• Flat Translated Chains of Contactomorphisms in $\mathbb{R}^{2n+1}$ and $\mathbb{R}^{2n} \times S^1$
  July 14, 2026
  This study introduces flat translated chains and periodic flat translated chains of contactomorphisms. It extends Viterbo's theorem, demonstrating that non-trivial, compactly supported contactomorphisms contact isotopic to the identity possess infinitely many geometrically distinct flat translated chains.
• Effective Short Intervals Containing Primes with Explicit Bounds
  July 14, 2026
  This research provides explicit bounds for the existence of primes within sub-linear intervals, making previous results by Hoheisel and Heilbronn fully explicit and effective. It establishes specific conditions for the existence of primes in intervals of the form $[x, x + x^{1 - 1/n}]$.
• Asymmetric High-Harmonic Generation from Subwavelength Bianisotropic Resonators Demonstrated
  July 14, 2026
  This research details the experimental demonstration and theoretical description of a single dielectric subwavelength resonator acting as a direction-selective high-harmonic source. It shows that structural asymmetry leads to forward-backward asymmetry in the generation of third, fifth, and seventh harmonics.
• Wallpaper Groups from Tiled Bimatrix Game Support Complexes
  July 14, 2026
  This research demonstrates that all seventeen wallpaper groups can arise from strategic interactions by tiling the plane with bimatrix game support complexes. Explicit generators for these groups were machine-verified, with realizations certified as exact toroidal quotients, and types identified using a crystallographic recognizer and cross-validated in GAP.
• Mild Enzymatic Method for Refining Algae Oil for Nutrition Products
  July 14, 2026
  This research outlines a mild enzymatic method for refining algae oil for use in nutrition products. The process focuses on efficiently extracting beneficial polyunsaturated fatty acids, such as arachidonic acid (ARA), while maintaining their integrity.
• Time-nonlocal multiphysics finite element method for poroelasticity with secondary consolidation
  July 14, 2026
  This study developed a time-nonlocal multiphysics finite element method using a Crank-Nicolson scheme for a poroelasticity model incorporating secondary consolidation. By reformulating the original model into a generalized Stokes equation and a diffusion equation, the method achieved second-order temporal accuracy and verified optimal-order error estimates. Numerical examples confirmed theoretical results and compared long-time convergence with the backward Euler scheme.
• Discrete to Continuous Symmetry Extension in Symplectic Topology on Ruled Surfaces
  July 14, 2026
  This research investigates the extension of finite-order Hamiltonian diffeomorphisms to Hamiltonian circle actions on irrational ruled symplectic 4-manifolds. It found that certain homologically trivial symplectic cyclic actions can extend to $S^1$-actions after symplectic form modification, while other symplectic involutions cannot, indicating geometric obstructions.
• Trimming Tensor-structured Measurements for Efficient Low-rank Tensor Recovery
  July 13, 2026
  This research introduces local trimming techniques to enhance the geometry-preservation properties of tensor-structured maps, enabling efficient low-rank tensor recovery. Two novel tensor iterative hard thresholding algorithms are proposed, demonstrating efficiency improvements over existing methods.
• Non-equilibrium proton-deuteron exchange at liquid-liquid interface measured in microsecond range
  July 13, 2026
  Researchers directly measured HDO formation during proton-deuteron exchange at the D₂O/H₂O liquid-liquid interface within the first 100 microseconds. The study revealed an early reaction-limited stage followed by a diffusion-limited stage, indicating a non-equilibrium state.
• Quantum Phases in Endofullerene Zigzag Chains of Dipolar Molecules
  July 13, 2026
  Large-scale density matrix renormalization group calculations investigated quantum phases of dipolar molecules in bent endofullerene chains. For LiF, ferroelectric order persisted across chain angles, with a transition to an antiferroelectric Néel-ordered phase near equilateral configurations. Confined o-D$_2$O reproduced both ordered phases, while p-H$_2$O developed no order.
• Global Dynamics of Viscous Gaseous Stars in a Physical Vacuum
  July 13, 2026
  This study analyzes the free boundary problem for three-dimensional compressible Navier-Stokes-Poisson equations with degenerate viscosities for self-gravitating viscous gaseous stars. It establishes global well-posedness of classical solutions for spherically symmetric and barotropic motion, without restrictions on initial data size.
• Severe Dust Storms Impacted China and US in 2025, Reports UN
  July 13, 2026
  In 2025, China and the southern United States experienced some of their most severe sand and dust storms in decades. The United Nations reported on these intense storm events.
• Asymptotic Formula for First Derivative Moments of Modular L-functions in a Nonlinear Family
  July 13, 2026
  This research establishes an asymptotic formula for the moment of the first-order derivative of modular L-functions at the center of the critical strip. The derivatives are weighted by generalized divisor functions derived from primitive quadratic characters. This formula addresses a gap in the literature where similar asymptotic results were previously available only for higher-order derivatives or specific dihedral forms.
• Variational Derivation of Reduced Models for Fractured Membranes Under Determinant Constraints
  July 13, 2026
  This research focuses on the variational derivation of reduced models for elastic membranes exhibiting fracture, specifically under constraints on the deformation gradient's determinant. The study considers both orientation-preserving and incompressible regimes, incorporating surface energy densities that depend on jump amplitude to accommodate cohesive fracture models with an activation threshold. A key technical contribution involves constructing recovery sequences that concurrently satisfy determinant constraints and optimize surface energy.
• Osaka researchers develop probe for cell-specific lipid analysis in tissues
  July 13, 2026
  Researchers at the University of Osaka developed a technique to analyze the chemical signatures of individual cells within tissues, discerning subtle differences. This method specifically targets lipids linked to conditions like Alzheimer's.
• Quantum Optics Technique Enhances Visual Phenomenon for Potential Retinal Health Test
  July 12, 2026
  A University at Buffalo-led team employed a quantum optics technique to make a visual pattern produced inside the eye more discernible. This development potentially offers a new method for assessing retinal health.
• Carbon Nanorings Enable Quantum Control via Toroidal Moments
  July 12, 2026
  Physicists utilized computer simulations to uncover a method for generating and controlling nanostructures for quantum state control. This process involves tiny carbon rings and relies on toroidal moments, a class of electromagnetic dipoles. The findings suggest new pathways for quantum computer technology.
• UN Reports 2025 Sand and Dust Storm Intensities in China and Southern US
  July 12, 2026
  In 2025, China and the southern United States experienced some of their most severe sand and dust storms in decades. The United Nations reported these intense events.
• AI framework automates simulations for materials, battery, and combustion research
  July 12, 2026
  Researchers at Argonne National Laboratory developed an AI framework to streamline scientific workflows for atomically precise simulations. This framework, termed a 'shortcut,' aims to automate the process, traditionally requiring deep expertise in computational chemistry.
• Glass Transition Behavior: Sudden Fracture vs. Smooth Deformation
  July 12, 2026
  Glass is formed when a liquid cools rapidly, preventing ordered particle arrangement. This process results in materials like window glass and certain metal alloys, which can exhibit different mechanical responses.
• UK Registers Record Number of Days Above 34°C in 2026
  July 12, 2026
  The United Kingdom recorded its eighth day with temperatures exceeding 34°C (94°F) in 2026. This occurrence established a new national record, surpassing the previous highest number of such days by one.
• Improved Control and Sustainability in Alcohol Oxidation Process
  July 12, 2026
  Researchers at Ruhr University Bochum developed a new method for alcohol oxidation. This method offers improved control and is described as more sustainable.
• AI System Designs Particle Models for Neutrino Mass Explanation
  July 12, 2026
  Physicists developed an AI system capable of autonomously designing theoretical particle physics models. This AI identified new particle models that may provide explanations for the tiny mass of neutrinos. The approach enables exploration of extensive areas within particle physics theory.
• Amazon Tree Stress Response to Warming May Alter Atmospheric Chemistry
  July 11, 2026
  Amazon rainforest trees release biogenic volatile organic compounds (VOCs) for stress protection. These VOCs react with atmospheric gases, influencing particle and cloud formation, which in turn affects regional climate and rainfall patterns.
• Western US Heat Wave Forecast: All-Time Records at Risk This Weekend
  July 11, 2026
  A widespread and significant heat wave is forecast to affect western U.S. states over the upcoming weekend, bringing oppressive temperatures. The National Weather Service indicated that all-time temperature records are at risk of being broken during this heat event.
• Geoscientists Uncover Deep Earth Processes Sculpting Tibetan Plateau Topography
  July 11, 2026
  A study by an international team of geoscientists indicates that the unique topography at the summit of the Tibetan Plateau is influenced by processes originating deep within the Earth. This research provides new evidence regarding the formation of one of the highest mountainous regions globally.
• Tracking Hydrogen Absorption: A Time-Resolved Elemental Analysis
  July 11, 2026
  This research investigates hydrogen, the lightest element, characterized by one electron and one proton. The study focuses on understanding its absorption process over time.
• Large Language Models Guide High-Entropy Alloy Catalyst Discovery for Oxygen Reduction
  July 11, 2026
  Researchers developed a framework combining large language models with lab experiments to accelerate the discovery of high-entropy alloy catalysts. This approach was used for the oxygen reduction reaction, a process relevant to fuel cells.
• Solar Storm Mapping Model Developed for 1 Million Miles Around Earth
  July 11, 2026
  A team at the Applied Physics Lab has developed a new model to map solar storms across 1 million miles around Earth. This model aims to improve understanding of forces impacting electric grid infrastructure.
• High-throughput Screening of 200 Catalysts for Methane Chemistry Reveals Novel Reaction Pathways
  July 11, 2026
  Catalyst development is intricate due to the complex interplay of catalyst properties, operating conditions, reactant composition, and product formation. A high-throughput search method evaluated 200 catalysts, uncovering previously unobserved routes for methane conversion processes.
• Combinatorial Optimization for Trustworthy Machine Learning: A Survey
  July 11, 2026
  This survey explores the intersection of combinatorial optimization (CO) and trustworthy machine learning (ML), focusing on how CO can address transparency, interpretability, robustness, fairness, and privacy. It covers CO applications in both training and post-training ML tasks, such as interpretable model learning and robustness analysis.
• Convergence Proof for Belief Propagation in Multipath Data Association for Target Tracking
  July 10, 2026
  This research provides a complete convergence proof for Belief Propagation (BP) updates within Multipath Data Association (MPDA) in target tracking. The proof establishes convergence to a unique fixed point for the three-way correspondence problem. Simulations illustrate MPDA's convergence behavior and favorable accuracy-efficiency trade-off.
• Proof Complexity of Linear Logics: Structural Rules, Weakening, Contraction, and Cut
  July 10, 2026
  This research quantifies the impact of structural rules in proof complexity, demonstrating that their combined power significantly exceeds individual rules. Specifically, it shows exponential proof-size lower bounds for $\mathbf{FL_e}$-provable formulas in affine linear logic $\mathbf{LLW}$ and highlights the exponential speed-up provided by the cut rule over weakening and contraction.
• Collective Bubble Nucleation and Departure: Scale-Separated Mechanisms and Hydrodynamic Shielding
  July 10, 2026
  Bubble nucleation is a collective process where sites separate by the hydrodynamic-boundary-layer scale activate more readily. This collective behavior shifts from boundary-layer coupling near activation to departure-scale coupling once nucleation is established, influenced by a non-local hydrodynamic shielding mechanism and coalescence between departing bubble clusters.
• Nonlocal Homogenisation for Nonlinear Electrostatic Media with Nonlocal Dielectricity
  July 10, 2026
  This research establishes an existence proof for a nonlinear partial differential equation describing a nonlinear electrostatic medium. The proof utilizes Schauder's theorem and a new compactness theorem for moving coefficients, named "Helga's Theorem," drawing on insights from homogenisation theory.
• New Catalyst Explores Single-Step Chemical Recycling for Mixed Plastic Waste
  July 10, 2026
  Research indicates a new catalyst may enable the recycling of mixed plastic waste through a single chemical step. This approach could address the challenge of diverse plastics that typically do not mix when melted, which often leads to disposal via burning or burial.
• Analysis of Volatile Compounds Released from Skin During Cupping Therapy
  July 10, 2026
  Researchers developed a noninvasive method to analyze compounds pulled into a cupping therapy cup. A pilot study with healthy volunteers identified changes in 13 volatile compounds before and after treatment.
• Physical Exact Conditions as Regularizers for Exchange-Correlation in Solids and Surface Chemistry
  July 10, 2026
  Optimizing exchange-correlation (XC) functionals for surface binding energies can degrade surface reaction barrier descriptions. This degradation occurs unless specific physical exact conditions are met within Density Functional Theory (DFT) approaches.
• Recovering 3D Turbulent Density Dispersion from Noisy 2D Interstellar Medium Data
  July 10, 2026
  A method extends the Brunt technique to recover three-dimensional turbulent density dispersion from noise-contaminated two-dimensional column-density observations. By identifying a characteristic noise wavenumber, $k_{\text{noise}}$, or subtracting known noise spectra, the approach mitigates noise effects. This correction allows for more reliable estimates of turbulent density fluctuations in the interstellar medium.
• Stochastic Stability of Nonlinear Model Predictive Path Integral Control via Contraction Theory
  July 9, 2026
  This research establishes a stability certificate for Model Predictive Path Integral (MPPI) control in nonlinear systems. It demonstrates that finite-sample MPPI inherits nominal contraction under specific conditions, leading to a high-probability localized mean practical stability bound.
• Polyconvexity and True-Stress-True-Strain Monotonicity in Incompressible 3D Hyperelastic Potentials
  July 9, 2026
  Research investigating constitutive conditions for incompressible hyperelastic materials in three dimensions observed that polyconvexity does not imply true-stress-true-strain monotonicity. This finding indicates that polyconvexity alone may not be sufficient for a physically reasonable response in idealized elasticity.
• Unlearnability in Hypothesis Testing: Limits of Finite-Precision Tests and Weaker Consistency Standards
  July 9, 2026
  This research introduces a hierarchy of weaker consistency standards in statistical inference when pointwise consistency is unachievable. It presents an impossibility theorem demonstrating that for finite-precision tests, dense convergence within each hypothesis leads to inconsistency on a comeager set of measures when hypotheses are dense in their union.
• Resolution of de Saint Germain's Conjecture: All Y-friezes Originate from $\mathrm{SL}_2$-friezes
  July 9, 2026
  This research resolves a conjecture by de Saint Germain, establishing that all Y-friezes are derived from $\mathrm{SL}_2$-friezes. It also provides a threefold characterization of $\mathrm{SL}_2$-friezes that produce identical Y-friezes, employing quiddities, triangulated polygons, and chains of horocycles.
• Stability and Convergence of Optimistic Exponential Weights with Asymmetric Step Sizes in Bimatrix Games
  July 9, 2026
  Research explored the last-iterate convergence and stability of optimistic exponential weights in bimatrix games, allowing for asymmetric step sizes. Conditions for global last-iterate convergence in zero-sum games were established, along with a threshold for asymptotic stability across general bimatrix games.
• Molecular Switch Mechanism Uncovered for Future Molecular Machines
  July 9, 2026
  Researchers have revealed the mechanism of a molecular switch, detailing how molecules transition between structural states in response to a chemical signal. This understanding suggests a potential for designing molecular machines and smart materials.
• Automotive Refrigerant HFO-1234yf Linked to Rising PFAS Pollution in Europe
  July 9, 2026
  A University of Bristol-led study suggests that HFO-1234yf, a newer automotive refrigerant, is a significant source of trifluoroacetic acid (TFA), a 'forever chemical', across Europe. The research indicates that emissions of HFO-1234yf and its TFA byproduct are contributing to increased TFA concentrations.
• Time-Domain Pressure-Interface Model for Gas Bubble Dynamics with Surface Tension
  July 8, 2026
  Researchers derived and analyzed a time-domain pressure-interface evolution model for a compressible gas bubble in a compressible liquid with surface tension. This model demonstrated well-posedness for finite-energy data and classical solutions under compatibility conditions, and was shown to reduce to established classical limits.
• Sunlight-Powered Synthesis of Davis Reagents Reduces Hazardous Oxidant Accumulation
  July 8, 2026
  Researchers developed a light-driven method for synthesizing Davis reagents, generating the hazardous oxidant mCPBA on-demand and consuming it immediately. Kinetic analysis indicated no detectable accumulation of the oxidant, suggesting an improvement in process safety.
• Integrability of a Generalized Konno-Oono System through Lund-Regge Geometry
  July 8, 2026
  This research extends classical surface theory to a generalized Konno-Oono system, establishing its integrability by demonstrating infinitely many non-trivial local conservation laws. It applies a refined analysis of Riccati pseudo-potential expansion and stereographic coordinates to construct an associated overdetermined linear problem.
• Framework for Joint Optimization and Spatial Packaging of Interconnected Systems with Physical Interactions
  July 8, 2026
  This paper introduces an approach for optimizing spatial packaging of interconnected systems with physical interactions (SPI2) in 3D component placement problems. The methodology addresses initial design generation and robust system-level coordination, demonstrating improved convergence and solution quality for an automotive use case. Its application results in outperforming exhaustive search while reducing computational cost.