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We prove the spectral-to-tiling implication in every finite cyclic group of square-free order. The main ingredient is an unconditional prime-step descent theorem. Let q ≥ 3 be prime, let (q, H) = 1, and let (A, Λ) be an m-point spectral pair in ZqH. If q ∤ m, then the reductions of A and Λ modulo H…
This paper presents a unified generative theory of crystal formation integrating pivot–hole geometry, D-modules, torsion, Frobenius angles, and derived layering, reconstructing band structures as spectral data and formalizing crystal generation as a derived functorial process.
This was due to the effect of the alkyl chain length on the critical micelle concentration (CMC), adsorption behavior, and corrosion inhibition of CR4 mild steel in an acidified chloride solution (3.5 wt.% NaCl, pH 1.5) of a series of pyridinium-based cationic surfactants, namely N-(n-octyl)-2-meth…
Abstract The uranyl tricarbonate mineral swartzite, CaMg[UO 2 (CO 3 ) 3 ]·12H 2 O, was investigated using single−crystal X − ray diffraction on synthetic material between 295 and 100 K. Swartzite is composed of Mg(H 2 O) 6 octahedra and {Ca(H 2 O) 6 [UO 2 (CO 3 ) 3 ]} complexes linked into a three–…
This paper presents a unified generative theory of crystal formation integrating pivot–hole geometry, D-modules, torsion, Frobenius angles, and derived layering, reconstructing band structures as spectral data and formalizing crystal generation as a derived functorial process.
Abstract Microplastic (MP) pollution poses escalating environmental risks, demanding efficient and reproducible tools for morphological characterization of plastic particles. Traditional manual microscopy is labour-intensive, operator-dependent, and poorly suited to large-scale monitoring. This stu…
Abstract Bamboo is an increasingly important non-wood fiber source for pulp production, particularly in the Asia-Pacific region. This study produced dissolving pulp from Melocanna baccifera (Muli bamboo), a species native to Bangladesh, using a formic acid (FA)-based organosolv process followed by…
Abstract Multi‑principal component diboride (MEB) ceramics are promising candidates for ultra-high-temperature thermal protection systems. However, their intrinsic oxidation behavior above 2000 ℃ remains poorly understood because conventional testing methods have limitations. Here, an ultra-fast he…
Let $\Phi$ be the theta kernel of the Riemann \( \Xi \)-function and \( D(z)=\int_0^\infty\Phi(u)\cos(zu)\,du \). The Riemann hypothesis is equivalent to the positivity of \( \partial_y|D(x+iy)|^2$ for $y>0 \), and it is natural to seek that positivity by decomposing the growth derivative over the…
We prove the spectral-to-tiling implication in every finite cyclic group of square-free order. The main ingredient is an unconditional prime-step descent theorem. Let q ≥ 3 be prime, let (q, H) = 1, and let (A, Λ) be an m-point spectral pair in ZqH. If q ∤ m, then the reductions of A and Λ modulo H…
We demonstrate that the spin dynamics of the noncollinear antiferromagnet Mn3Sn hosts a soft eigenmode that transitions from small-angle oscillation to a large-angle, chiral windmill precession once the canting angle exceeds a threshold set by the bending of the spin order. This windmill precession…
Nonadiabatic effects determine the frequency and linewidth of coupled phonon modes, shape of Kohn anomalies and have important implications on many material properties. State-of-the-art ab-initio nonadiabatic phonon self-energy relies on an infinite electron lifetime approximation, which cannot cap…
Fluorescent nanodiamonds (FNDs) with optically read qubits hold great potential for detecting electric and magnetic fields, temperature, and other nanoscale physicochemical quantities relevant to chemistry and biology. Proper surface functionalization is essential for their application as probes, b…
Predicting a material's properties from its structure is a central, fast-advancing problem in computational materials science. A decade of work has produced standard public benchmarks and many published machine-learning models for the task (Dunn et al., 2020). The task's fixed metric and these base…
In magnetic materials angular momentum can be mediated by different carriers, including electrons, magnons, and phonons. The magnons can interact with circularly polarized phonons which are close in energy, provided specific symmetry conditions are met. If the interaction is strong enough the phono…
Physical vapor deposition enables the fabrication of nanostructured superalloys with unique defect architectures, yet their phase evolution pathways can differ significantly from those of conventionally processed alloys. In this study, the effects of solution and aging treatments on phase selection…
Hydrogen transport through layered two-dimensional (2D) materials is central to technologies such as hydrogen storage, fuel cells, and isotope separation. Among these materials, MoS2 exhibits tunable interlayer diffusion properties, whose accurate theoretical description requires accounting for nuc…
We develop a Ginzburg-Landau theory for superconducting thin films under quantum confinement. Starting from the Ginzburg-Landau theory and the recently developed confinement theory of metallic thin films, explicit analytical expressions are derived for the coherence length, penetration depth, elect…
Van Hove singularities (VHSs) play a pivotal role in driving correlated electronic phenomena. Traditional classifications focus only on critical points where the band gradient vanishes in all directions. Here we establish a unified classification of VHSs in three-dimensional systems, characterized…
High-pressure unconventional oxidation states are attributed to exceptional charge transfer, which is itself induced by the differential pressure response of atomic orbital energy levels. The high oxidation states observed in heavy alkali metals (Cs, Ba, Ra) exemplify this behavior, as their semi-c…