Research works

Affine Galois Closures, Ray-Class Quotients, and Radical-Field Ramification over Real Quadratic Fields

This preprint develops the local and global arithmetic of affine Galois closures arising from radicals of units in real quadratic fields. Let F/ℚ be a real quadratic field, let ε ∈ O_F× be a fundamental unit, and let ℓ be an odd prime. The principal objects are the radical field...

HYDRODYNAMIC-TOPOLOGICAL CONTINUUM: AN INTEGRATED ONTOLOGY OF EMERGENT STABILITY

The reconciliation of general relativity with quantum field theory remains the premier open problem in theoretical physics, exemplified by the "vacuum catastrophe"—the 120-order-of-magnitude discrepancy between the calculated vacuum energy density and the observed cosmological co...

CRYOGENICALLY STABILIZED SYNTHETIC LATTICE ARCHITECTURE FOR FAULT-TOLERANT QUANTUM COMPUTING

We present the design and physical operating principles of a rack-mountable photonic hardware platform designed to instantiate a synthetic vacuum capable of passive quantum error rejection. Unlike conventional quantum processors that rely on algorithmic error correction, this arc...

Rational Specializations, Belyi Monodromy, and Exceptional Height Counts for x2` − x` − t

This preprint studies rational specialization, monodromy, and arithmetic statistics for the one-parameter polynomial family fℓ,t(x) = x^(2ℓ) − x^ℓ − t, ℓ ≥ 2. The family is analyzed simultaneously as a polynomial over ℚ(t), as a branched cover of the projective line, and as a sou...

Quantifying Dryland Niche Space and Spatial Connectivity Under Climate Forcing: A Hybrid AI–Mechanistic Ensemble Approach — Synthetic Simulation Code and Output Data (v1.0.0)

This repository contains the complete simulation code and datasets supporting the manuscript "Quantifying Dryland Niche Space and Spatial Connectivity Under Climate Forcing: A Hybrid AI–Mechanistic Ensemble Approach." The package includes an AI-enhanced mechanistic ensemble biodi...

PRIME NUMBERS AS SPECTRAL ARTIFACTS OF QUANTUM GEOMETRIC SYSTEMS

This establishes a mathematical framework demonstrating that prime numbers emerge as spectral artifacts from a continuous quantum geometric substrate, rather than representing fundamental discrete entities. Through formal deduction from five established mathematical facts—base-in...

Reassessing the Foundations of Quantum Computation: From Theoretical Artifacts to Physical Realities

Abstract: This analysis argues that Shor’s algorithm, while mathematically elegant, functions as a theoretical artifact defined under physically unrealizable conditions—perfect coherence, infinite precision, and unbounded resources—rendering it a mathematical trap that has misdir...

Emergent Bell phase in an electro-nanomechanical quantum simulator

Suspended carbon nanotubes hosting electrostatically defined quantum dots allow for exceptionally strong and tunable electromechanical coupling as well as mechanical modes that can reach the quantum ground state of motion simply by cryogenic cooling. This makes them a unique plat...

Strong and Weak Quantitative Estimates in Slow-Fast Diffusions Using Filtering Techniques

Abstract. The behavior of slow-fast diffusions as the separation of scale diverges is a well-studied problem in the literature. In this short paper, we revisit this problem and obtain a new proof of existing strong quantitative convergence estimates (in particular, [Formula: see...

Curve fitting algorithm for multimodal particle size distributions – a theoretical basis

Abstract. Here we detail an open-source curve fitting algorithm for multimodal particle size distributions (MPSDs) and evaluate it against a ten-year dataset of ambient particle size distribution (PSD) measurements collected at Storm Peak Laboratory, a remote mountainous research...

Morphogenesis of bacterial colonies in liquid crystalline environments

Natural bacterial habitats are often complex fluids with viscoelastic and anisotropic responses to stress; for example, they can take the form of liquid crystals (LCs), with elongated microscopic constituents that collectively align while still retaining the ability to flow. Howe...

Combined Transcriptional and Metabolic Analysis of the Differences in Salt Tolerance Responses of Tillers in Different Rice Varieties

<title>Abstract</title> Background Soil salinization is a significant factor contributing to the reduction of arable land. To enhance rice productivity in saline-alkali soils, understanding the salt tolerance mechanisms of rice varieties is essential. This study focused on invest...

Modeling the Subglacial Sediment System of the Finnish Lake District Ice Lobe During Deglaciation

Abstract. The systematic connection of glacial conditions in ice models with subglacial geomorphological observations has been limited by an inability to model subglacial sediment processes. The Finnish Lake District Ice Lobe (FLDIL) presents an opportunity to apply new model app...

Shape-Induced d-BandCenter Optimization ofPdBiNi Nanocubes for Exclusive Oxidation of Glycerol into C3 Products

Abstract Electrocatalytic oxidation of glycerol toward high-value C3 products on Pd-based catalysts presents a promising strategy for upgrading and converting glycerol. However, C3 intermediates often adsorb too tightly on Pd-based catalyst surfaces during glycerol oxidation, lea...

MARMOT: masked autoencoder for modeling transient imaging

Abstract Pretrained models have recently emerged as effective priors for a wide range of vision and computational imaging problems. Transient measurements have emerged as a new imaging modality, in which a time-resolved sensor records photon counts over time bins. In confocal non...

Fine-tuning an ECG foundation model to predict coronary CT angiography outcomes

<title>Abstract</title> Coronary artery disease (CAD) remains a major global health burden. Accurate identification of the culprit vessel and assessment of stenosis severity are essential for guiding individualized therapy. Although coronary CT angiography (CCTA) is the first-lin...

Performance guarantees of light-cone variational quantum algorithms for the maximum cut problem

Abstract Variational quantum algorithms (VQAs) are promising to demonstrate the advantage of quantum computing over classical computing in practical applications, such as the maximum cut (MaxCut) problem. However, current VQAs such as the quantum approximate optimization algorith...

MOFU: Development of a MOrphing Fluffy Unit with expansion and contraction capabilities and evaluation of the animacy of its movements

Robots designed for therapy and social interaction are often intended to evoke a sense of “animacy” in humans. While many robots have been developed to imitate life-like appearance and joint movements, relatively little attention has been given to the effect of whole-body expansi...

Arduino-controlled pulse electrodeposition for low-cost zinc coating on stainless steel

<title>Abstract</title> Metal corrosion is a major challenge in the manufacturing sector. Pulse electrodeposition (PED) is a promising effective technique for metal corrosion protection; however, the coating quality depends on the PED parameters. This study involved metal corrosi...

Hybrid Optomechanical Cooling with Kerr Magnons and Squeezed Vacuum

Abstract Ground-state cooling is essential for accessing the quantum regime and enabling quantum control of macroscopic systems. However, achieving optomechanical cooling in the unresolved-sideband regime, where the mechanical frequency ω b is smaller than the cavity linewidth κ...