Scientific Resource Catalog
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This paper introduces the concept of Computational Order Rigidity (COR), a theoretical framework designed to explore the inherent constraints on algorithmic computation based on the specific ordering of input data. The core idea is that if a particular permutation of a set of elements allows for a…
Both carbon nanotubes (CNTs) and graphene have been called two of the most eye-catching nanofillers to synthesize advanced polymer nanocomposites, thanks to their outstanding structural, mechanical, thermal and electrical properties. Both the synthesis techniques and intrinsic characteristics of gr…
Green synthesis offers a sustainable approach to nanoparticle manufacturing using plant-derived phytochemicals as natural reducing and capping agents. Herein, iron oxide nanoparticles (IONPs) biosynthesis was performed using Phyllanthus emblica extract at pH conditions (6, 9 and 12), indicating the…
This paper provides a novel reinterpretation of the inherent imbalance between additive and multiplicative structureswithin the ABC Conjecture (Oesterl´e–Masser Conjecture) through the lens of 2-Dimensional Square Symmetry. We proposethat the continuous scale transformation via the “Theta-link” (Θ-…
This manuscript introduces the concept of a Universal Invariant Space, a mathematical framework in which every mathematical object is assigned a unique invariant signature. The construction of the Universal Invariant Algebra follows from these signatures, providing a systematic means to compare and…
تحلیل بنیادین، بازنویسی تانسوری و اثبات جامع معمای شماره ۱ از ۳۰ (سری جدید: نیروی هستهای ضعیف): «مسئله سلسلهمراتب (The Hierarchy Problem) و پارادوکس تنظیم ظریف و سیستم هماهنگسازی مقیاس انرژی در منیفولد ۱۱۵۵ بعدی»؛ مبنی بر اینکه «اختلاف نجومی ۱۴ مرتبه بزرگی میان مقیاس الکتروضعیف ($\sim 100 \text{…
Symmetry is a foundational concept in mathematics and physics, traditionally studied through group actions on spaces or objects. This paper proposes a unifying framework called the Universal Symmetry Hierarchy that extends the conventional notion of symmetry to multiple layers. We introduce the con…
Symmetry is a cornerstone of modern mathematics and physics, yet conventional treatments typically regard symmetry as a static property of a single configuration or structure. This paper introduces a new perspective, Recursive Symmetry Theory, which treats symmetry as an operation that can be appli…
This paper explores the concept of computational phase transitions, focusing on the abrupt shifts in algorithmic behavior triggered by changes in computational parameters. Unlike traditional phase transitions in physics, these transitions occur within the realm of computation, often manifesting as…
In magnetic alloys or hybrid systems formed by molecular magnets coupled to a magnetic substrate, the exchange interaction leads to fast spin dynamics after excitation. We investigate the electronic charge and spin dynamics due to the exchange interaction in a two-sublattice system with antiferroma…
Transition metal dichalcogenides (TMDCs) have garnered considerable interest as a class of layered materials with semiconducting bandgaps in the visible to near infrared. Their weak interlayer van der Waals interactions allow for layer-by-layer mechanical exfoliation down to the monolayer, making t…
Research article: Multimodal AI in Scientific Discovery: 2025 Benchmarks in Drug Discovery and Materials Science
This study investigated the effect of fast multiple rotation rolling (FMRR) rotational speed on the microstructure, mechanical properties, and in vitro corrosion behaviour of TiO₂-reinforced AZ91 magnesium composite coatings produced by friction surfacing. The coatings were subjected to FMRR at 100…
The physical properties of hydrogen-bonded systems spanning zero to three dimensions—covering low-dimensional ices, bulk liquid water and biological hydration layers—are characterized by disjoint theoretical formalisms, without a consistent quantitative analytical toolkit. This work constructs an a…
В работе проведена сравнительная оценка эффективности трёх металлоорганических катализаторов — 2-этилгексаноата олова(II) (ЭГО), 2-этилгексаноата висмута(III) (CAT 22) и неодеканоата висмута(III) (CAT 20A) — при формировании остеопластических композитов на основе гидроксилсодержащего силоксанового…
This paper explores the fundamental question of how much historical information is necessary for accurate prediction. We investigate whether predicting future states solely based on the current state [P(x_t)] is sufficient, or if incorporating past states [P(x_t, x_{t-1}, ..., x_0)] is required. We…
In deep-water environments, the coupled effects of hydrostatic pressure, explosion-induced shock waves, and bubble pulsation can produce complex nonlinear dynamic responses and instability in stiffened cylindrical shells. Clarifying these response mechanisms is critical for the safety assessment an…
Jahn–Teller (JT) distortions are a key driver of physical properties in many correlated oxide materials. Cooperative JT distortions, in which long-range orbital order reduces the symmetry of the average structure, are common in JT-distorted materials at low temperatures. This long-range order will…
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 Mathem…
Efficient and green exfoliation of bulk MoS 2 into few-layer nanosheets remains challenging due to its intrinsic hydrophobicity and van der Waals interlayer forces. Although pure water is an ideal solvent for sustainable processing, solubility theory and experiments show that MoS 2 nanostructures r…