Materials Literature
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This paper introduces Algorithmic Chemical Theory (ACT), a novel approach to chemical understanding and prediction. Instead of viewing algorithms as discrete modules, ACT proposes that algorithms are fundamental, irreducible elements analogous to those found in the periodic table. These algorithmic elements can intera…
The phase field method provides a unified framework for modeling a wide range of interfacial phenomena without explicit tracking of interfaces. In this paper we develop a comprehensive mathematical formulation of phase field theory, starting from the variational principle that defines a diffuse interface free energy f…
Delivering protein and peptide therapeutics through the oral route continues to be a difficult problem, mainly because these molecules break down so readily in the gastrointestinal tract and struggle to cross biological membranes. Their fragility and fast enzymatic turnover typically translate into poor bioavailabilit…
Large language models generate fluent text by collapsing a high-dimensional representation onto a next-token distribution. That collapse is computationally convenient and theoretically dangerous. If one treats the residual set of linguistically compatible worlds as an uncollapsed phase space - the space of what langua…
The concept of a phase space is central to the study of dynamical systems, providing a geometric arena where states evolve under the influence of a governing law. This paper introduces an analogous construction for the realm of mathematical structures themselves, giving rise to the so‑called Mathematical Structural Ph…
FINDING: Fibonacci numbers appear in Mandelbrot set dynamics and can be generated via closed-form tree structures, linking recursion to fractal geometry. | MATH: Fibonacci recurrence \(F_n = F_{n-1} + F_{n-2}\); closed-form via Binet: \(F_n = \frac{\phi^n - \psi^n}{\sqrt{5}}\) where \(\phi = \frac{1+\sqrt{5}}{2} \appr…
Polymeric micelles represent a fundamental self-assembled architecture of gel-based soft materials and have emerged as promising nanocarriers for anticancer drug delivery. Their performance is largely governed by the block composition of constituent copolymers, and understanding their self-assembly behavior provides c…
Symmetry is a central concept in the study of geometric structures, physics, chemistry, and many other scientific fields. Traditional research has largely focused on identifying and classifying symmetrical features within a structure. In contrast, this paper proposes a quantitative measure called the Structural Symmet…
The increasing environmental impact of petroleum-based plastics has intensified the need for renewable, biodegradable, active, and intelligent materials for food packaging and agricultural plasticulture. This review critically analyzes the potential to valorize agro-industrial by-products and underutilized biomass to…
Symmetry has long been recognized as a guiding principle in mathematics, providing elegant explanations for the structure of algebraic objects, the behavior of differential equations, and the distribution of numbers. Traditional symmetry analysis focuses on explicit invariances under group actions that are readily obs…
This paper presents a first-principles mathematical audit and consolidation of the 11×11 (121-node) toroidal triangular-lattice constructions developed within the Unified Harmonic Constant Theory (UHCT) research programme.The primary purpose of this work is not to preserve earlier theoretical claims uncritically, but…
Laimosemion laranja sp. nov. Figs 2, 3 Holotype. INPA-ICT 062600, 26.8 mm SL, male, Brazil, Amapá, Laranjal do Jari municipality, Igarapé Massaranduba, Rio Cajari, tributary of the Rio Amazonas Basin, 00°48'43.46"S, 052°28'47.56"W, 21 Jun 2025, S. Lima, W. Berbel-Filho, Y. G. Abrantes. Paratypes. All from Brazil, Amap…
Biodegradable polymeric nanocomposites have attracted considerable attention in biomedical applications due to their excellent biocompatibility, tunable mechanical properties and ability to support tissue repair and regeneration. The natural fiber based reinforcements improves sustainability and functional performance…
ABSTRACT While rice husk silica has been explored as a low‐cost filler for conventional epoxies, the synergistic effect of complementary organosilanes—an epoxy‐functional GLYMO and an amino‐functional APTMS—on biogenic silica tailored for a partially bio‐based epoxy matrix has not been systematically investigated. Her…
$α$-MnO$_2$ is an emerging material for electronic, optoelectronic, and energy applications, owing to its structural flexibility and defect-driven functionality. During synthesis of $α$-MnO$_2$, native oxygen vacancies readily form and are typically compensated by foreign dopants. A thorough understanding of intrinsic…
Symmetry is a central concept in the study of geometric structures, physics, chemistry, and many other scientific fields. Traditional research has largely focused on identifying and classifying symmetrical features within a structure. In contrast, this paper proposes a quantitative measure called the Structural Symmet…
FINDING: No new mathematical tablet discovery is reported; the search results are dominated by sensationalist YouTube titles and a single arXiv paper on AI metadata classification, not mathematical content. MATH: No equations, constants, or ratios are extractable from the provided sources. The arXiv paper (2603.03892v…
This paper investigates the emergence of algorithmic topological defects within deep learning models, specifically focusing on the manifestation of these defects during model training and their potential implications for model behavior. We explore the parallels between these algorithmic defects and traditional topolog…
This paper introduces the Algorithmic Coarse-Graining Theory, a framework for understanding and predicting the preservation of key properties during the process of coarse-graining. Coarse-graining is a computational technique used to simplify complex systems by reducing the level of detail in the representation. The c…
Background: Green synthesis of metal nanoparticles using plant extracts has gained considerable attention due to its eco-friendly nature, cost effectiveness, and enhanced biocompatibility. Copper nanoparticles exhibit promising antimicrobial and physicochemical properties, making them suitable for pharmaceutical and b…