The Fractal Architecture of Structure: Polar Coupling as the Single Recursive Operation from Micro to Macro
**——The Fractal Architecture and Cross-Level Unity of the Structural Axiom System** **Author: Lin Xiaohei** **Date: June 15, 2026**
Materials Literature
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**——The Fractal Architecture and Cross-Level Unity of the Structural Axiom System** **Author: Lin Xiaohei** **Date: June 15, 2026**
FINDING: Babylonian base-60 (sexagesimal) system reveals advanced astronomical precision, including Jupiter's orbit calculations using trapezoid integration. | MATH: Base-60 positional notation; Plimpton 322 (Pythagorean triples: a² + b² = c²); Jupiter's orbital arc area approximated via trapezoidal rule (foreshadowin…
Wydawnictwo SIGMA-NOT wydaje czasopisma fachowe informujące swoich czytelników o najnowszych osiągnięciach naukowych i nowoczesnych rozwiązaniach technicznych w Polsce i na świecie, popularyzuje problemy techniczne oraz poszerza wiedzę i kulturę techniczną.
The design choices of modern generative systems-noise schedules, EMA weights, VQ codebooks, classifier-free guidance, sampling temperature, learning-rate schedules-are generally treated as independent engineering decisions. This paper shows that they all realize a single information-physics structure with two axes: a…
Nanoimprint lithography (NIL) has matured over three decades into a high-resolution patterning technique with applications spanning semiconductor manufacturing, photonics, biomedical patterning and microfluidic fabrication. Recent reviews describe NIL molds, resist chemistries and demolding physics in considerable det…
Metal- organic frameworks (MOFs) constitute a promising class of crystalline porous materials formed through the coordination of metal ions or metal clusters with organic bridging ligands. These materials have emerged at the intersection of coordination chemistry, supramolecular chemistry, and materials science. Their…
Diabetic chronic wounds have become a major challenge for clinical treatment due to their complex pathological microenvironment, including persistent inflammatory response, angiogenesis disorder, excessive oxidative stress, and susceptible infection. Traditional dressings as a passive barrier have difficulty meeting t…
This technical note publishes a reproducible arbitrary-precision layer for the OUXSPACE / STRING THEORY-2 fine-structure programme. Its primary mathematical object is the closed form αₛₜ₂ = 105/[2π(2125+2√6810)], generated by the declared OUXSPACE closure chain. The note provides: (i) the exact algebraic compression o…
Using bismuth oxide (Bi2O3) as the matrix and employing a doping modification strategy to introduce the rare-earth element La, this study prepared La/Bi2O3 visible-light-responsive photocatalysts with different doping ratios. The research systematically investigated the regulation mechanisms of La doping on the materi…
To address the challenges in detecting and identifying interfacial and internal defects in Fiber Metal Laminates, this paper proposes a non-destructive testing method based on dynamic scanning eddy current thermography using thermal optical flow analysis. The proposed method models the unsteady-state temporal evolutio…
Abstract Raman spectroscopy, as a nondestructive testing technique, is often limited by noise interference and feature distortion in portable instruments, which severely affect the accuracy of substance detection. To address this, this paper proposes a fast and effective portable-to-benchtop Raman spectral translation…
This paper presents the experimental and computational results of the comparative study of microstructure, mechanical properties and corrosion behavior of tungsten inert gas (TIG)-welded 304, 309/310, and 316 steels. The study involves the coupled influence of microstructural changes, sensitization tendency, mechanica…
FINDING: Fibonacci numbers in Hertz produce a non-octave, inharmonic frequency series that approximates the golden ratio spacing, not the harmonic series. | MATH: Frequency ratios between successive Fibonacci tones: 144/89 ≈ 1.61798, 233/144 ≈ 1.61806, 377/233 ≈ 1.61760, 610/377 ≈ 1.61804, 987/610 ≈ 1.61803. These con…
Cu/ZnO/Al 2 O 3 has been a common catalyst for CO 2 hydrogenation to methanol. However, this catalyst suffered from water deactivation by the reaction product water, leading to reduced catalyst activity. In this research, hexagonal boron nitride (hexagonal-BN) was used as a hydrophilicity-reduced support for Cu/ZnO-ba…
This study systematically investigated the effects of different post-fabrication heat treatments on the microstructural, mechanical, and tribological properties of a novel Ti-Ag alloy produced by selective laser melting (SLM). Unlike conventional powder mixing methods reported in the literature, electroless Ag-coated…
This article develops a constraint-preserving logarithmic exchange–correlation (LXC-CP) descriptor architecture for semilocal density-functional approximations. The construction arose from a failed first form in which a positive quadratic log-drift penalty was appended directly to an exchange–correlation energy. Exact…
FINDING: Golden ratio (φ) appears in photonic crystal structures, Fibonacci-based audio frequencies, and galaxy-scale spatial patterns, with a formal proof that infinite sequences share the φ property. MATH: φ = (1+√5)/2 ≈ 1.618; reciprocal φ⁻¹ = φ-1 ≈ 0.618; Fibonacci frequencies: 89, 144, 233, 377, 610, 987 Hz (rati…
Abstract Layered halide perovskites (LHPs) offer a powerful platform to precisely engineer excited-state carrier dynamics and optoelectronic performance via compositional tuning of B-site metals. Here, we contrast prototypical lead-based (BA)2PbBr4 with its double-perovskite analogue (BA)4AgBiBr8 to isolate the role o…
Background. Vat photopolymerisation (VPP) is increasingly used to fabricate electrically functional structures in which electrical behaviour must coexist with photochemical cure, geometric fidelity, rheological processability and service stability. The literature spans electrostatic-control materials, carbon-based per…
To address the critical role of armature–rail contact in electromagnetic railguns, a comprehensive electromagnetic–thermal–mechanical coupled model is developed. In contrast to existing coupled railgun models, this work uniquely introduces the dynamic mechanical contact state and contact resistance as coupling variabl…