Research works

On Goldbach numbers in short intervals

Assuming the Riemann Hypothesis, we prove that for all $$x\geqslant 2$$ , there exists at least one even integer within the interval $$(x, x+123\log ^2x]$$ , that can be expressed as the sum of two primes. This result is an improvement over the recent work of Cully-Hugill and Dud...

The minimal supersymmetric standard model with non-invertible selection rules

Abstract We investigate a framework of the minimal supersymmetric standard model (MSSM) in which the quark and lepton flavor structure and suppression of flavor-changing neutral currents (FCNCs) are governed by non-invertible selection rules. By implementing such non-group-like f...

Geometric optimization of cathode flow fields for large-scale planar SOFC stacks

Three-dimensional computational fluid dynamics (CFD) calculations are performed to investigate the cathode flow distribution in large-scale planar solid oxide fuel cell (SOFC) stacks. The calculations are based on models with different geometric configurations. The effects of sta...

Physical activity stimulates neurogenesis via sensory neuron activity in postembryonic zebrafish

Physical exercise induces neurogenesis in adult and developing animal brains, but how exactly voluntary movement affects neurogenesis remains unclear. Here, we use two independent methods for immobilization, a physical barrier (gel matrix) or a genetic manipulation (CRISPR/Cas9 m...

Effect of the pulse repetition rate on the scalability of the ultrashort pulse laser process for generating laser-induced self-organized nano- and microstructures on stainless steel

Self-organized surface structures have gained significant interest in both science and industry. However, the scalability of the ultrashort pulse laser process for generating self-organized nano- and microstructures with varying laser pulse repetition rates has not been systemati...

Comparing the effect of faecal microbiota and faecal filtrate transplantations on intestinal health in weaned piglets

<title>Abstract</title> Background Faecal microbiota transplantation (FMT) and faecal filtrate transplantation (FFT) have emerged as promising methods to prevent intestinal dysbiosis and diarrhoea in piglets after weaning. The aim of this study was to compare the effects of FMT a...

The Two-Sheeted Topology of Extended Kerr-Type Spacetimes and a Parity-of-Crossings Property for Ring-Traversing Geodesics

We revisit the two-sheeted structure of extended Kerr-type spacetimes. After excising the singular ring, the signed-$r$ oblate point space realises the unique connected meridional double cover of a separate one-sheet ring complement. The cover is unbranched on the excised space;...

Teaching Signal Synchronization in Deep Neural Networks with Prospective Neurons

Abstract Working memory requires the brain to maintain information from the recent past to guide ongoing behavior. Neurons can contribute to this capacity by slowly integrating their inputs over time, creating persistent activity that outlasts the original stimulus. However, when...

The impact of digital health on loneliness and social isolation for older adults: A scoping review protocol

As populations age and healthcare systems increasingly adopt digital health technologies and alternative models of service delivery, understanding their broader social impact is becoming increasingly important. Digital health technologies are transforming how older adults access...

Quantitative Metrological Analysis of Anomalous Signatures

Update & Version Notice: This work is part of an ongoing research and refinement process published as a preprint. To ensure that all language versions remain fully synchronized, only the latest version serves as the binding reference. We apologize for any inconvenience. Data Avai...

Conserving Mass, Momentum, and Energy for the Benjamin–Bona–Mahony, Korteweg–de Vries, and Nonlinear Schrödinger Equations

Abstract. We propose and study a class of arbitrarily high-order numerical discretizations that preserve multiple invariants and are essentially explicit (they do not require the solution of any large systems of algebraic equations). In space, we use Fourier Galerkin methods, whi...

Examining smartphone-assessed executive function metrics and intrinsic resting-state functional connectivity in depression

<title>Abstract</title> Major Depressive Disorder (MDD) is a common and costly mental health condition that is often associated with deficits in executive function. Smartphone applications (“apps”) have emerged as promising methods for assessing mental health-related outcomes in...

Production of biodegradable film based on beta-glucan/polycaprolactone modified with extract of oak fruit pair, apricot kernel and gold nanoparticles: Investigation of physicochemical and antioxidant properties

<title>Abstract</title> In this study, a polycaprolactone (PCL) and beta-glucan (BG) composite film was prepared. Oak fruit pair extract (OFPE) and apricot kernel extract (AKE) and gold nanoparticles (AUNPs) were used to modify the structure of the composite film. The physicochem...

Oxygen production as an electron overflow pathway in ammonia-oxidizing archaea

Abstract Ammonia-oxidizing archaea (AOA) are widespread in nature and contribute to global carbon and nitrogen cycling. Although their energy production is an aerobic process, AOA occur in environments of low oxygen and in fully anoxic zones. Recently, oxygen production under ano...

Multiscale carbon burden of infrastructure in the United States

Anthropogenic greenhouse gas (GHG) emissions vary spatially with development patterns, climate, economic structure, and energy systems. Using Vulcan v4.0 fossil-fuel CO2 (FFCO2) data for the United States at 1-km resolution, this study examines how land use and infrastructure sha...

Integrated polarization-entangled photon source for wavelength-multiplexed quantum networks

Entangled photons are fundamental resources for quantum communication, computing, and networking. Among them, polarization-entangled photon pairs play an important role due to their straightforward state manipulation and direct use in quantum key distribution, teleportation, and...

Egg Drop Problems: They Are All They Are Cracked Up to Be!

We illustrate how to invite and excite students about research by exploring higher-dimensional generalizations of the classical egg drop problem, in which the goal is to locate a breaking point using the fewest number of trials. Beginning with the one-dimensional case, we prove t...

Bi-national academic funding and collaboration dynamics: the case of the German-Israeli foundation

Abstract Academic grant programs are widely used to motivate international research collaboration and boost scientific impact across borders. Among these, bi-national funding schemes–pairing researchers from just two designated countries–are common yet understudied compared with...

Exploring Victim-Offender Interactions During a Ransomware Attack Using LockBit Chat Negotiations

This study explores interactions between ransomware victims and offenders through a qualitative analysis of chat negotiations of the LockBit ransomware group (n=147), providing insight into data exfiltration, extortion, communication and negotiation, payment, and post-payment out...

The Efficacy of Sacubitril/Valsartan in the Treatment of Peripartum Cardiomyopathy: A Retrospective Analysis of Four Cases

Peripartum cardiomyopathy (PPCM) is a rare form of cardiomyopathy that develops in the last months of pregnancy or during the postpartum period and is characterized by a decrease in left ventricular ejection fraction below 45%. The diagnosis and management of PPCM can be difficul...