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Physics Preprint PDF DOI

Towards Systematics of Calabi-Yau Landscape for String Cosmology

George K. Leontaris, Pramod Shukla · 2026

In this review, we discuss the relevance and impact of studying Calabi-Yau threefolds in the context of global model building in string phenomenology. First, taking a phenomenologist-friendly approach…

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Physics Preprint PDF DOI

New gravitational-wave templates for metastable cosmic strings: Loop breaking versus network collapse

Doa Hashemi Asl, Kai Schmitz · 2026

Metastable cosmic strings are a common prediction of grand unified theories and act as a source of a gravitational-wave background (GWB) that can explain the 2023 pulsar timing array (PTA) signal. In …

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Computer Science Preprint PDF DOI

Succinct Graph Representations and Algorithmic Applications

Ahammed Ullah, Alex Pothen · 2026

We propose new graph representations that exploit dense local structure to improve time and space simultaneously. Given an undirected graph $G$, we define a dual clique cover (DCC) representation of $…

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Physics Preprint PDF DOI

Giant Spin Magnetization from Quantum Geometry in Altermagnets

Neelanjan Chakraborti, Sudeep Kumar Ghosh, Snehasish Nandy · 2026

Altermagnets host spin-split band structures while exhibiting vanishing equilibrium spin magnetization, making field-induced responses a direct probe of their quantum geometry. A central question, in …

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Mathematics Preprint PDF DOI

Failure of the semi log canonical Abundance for compact K\"{a}hler threefolds

Swapnajit Das · 2026

In this article we show that the semi log canonical abundance for compact K\"ahler varieties fails in dimension $3$. More specifically we construct a counterexample of a compact K\"ahler (irreducible)…

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Physics Preprint PDF DOI

g-tensor Optimization in Ge/SiGe Quantum Dots

Aram Shojaei, Edmondo Valvo, Maximilian Rimbach-Russ, Eliska Greplova, Ana Silva · 2026

Planar germanium heterostructures hosting hole-spin qubits are among the leading platforms for scalable semiconductor-based quantum computing. Yet, device performance is hindered by significant quantu…

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Mathematics Preprint PDF DOI

A torsion-intersection proof of perfect-cuboid nonexistence on 1,072 explicit master-tuple fibers

Rene Peschmann · 2026

Building on the genus-3 reduction $C_A : w^2 = \lambda^8 + A \lambda^4 + 1$ established in our companion paper (arXiv:2604.09328), we give an unconditional proof of the perfect-cuboid conjecture ("Con…

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Mathematics Preprint PDF DOI

Hypergraph independence bounds: from maximum degree to average degree

Jing Yu, Junchi Zhang · 2026

We prove a transfer theorem for hereditary classes of $(r+1)$-uniform hypergraphs. Let $\mathcal G$ be such a class, and for $H\in\mathcal G$ write $\Delta(H)$ and $d(H)$ for the maximum degree and av…

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AI & Data Science Preprint PDF DOI

Collaborative Agent Reasoning Engineering (CARE): A Three-Party Design Methodology for Systematically Engineering AI Agents with Subject Matter Experts, Developers, and Helper Agents

Rahul Ramachandran, Nidhi Jha, Muthukumaran Ramasubramanian · 2026

We present Collaborative Agent Reasoning Engineering (CARE), a disciplined methodology for engineering Large Language Model (LLM) agents in scientific domains. Unlike ad-hoc trial-and-error approaches…

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Physics Preprint PDF DOI

Deep Strong light-matter Coupling in 3D Kane Fermions

Dmitriy Yavorskiy, David Hagenmuller, Noureddine Charrouj, Yurii Ivonyak, Alexander Kazakov, Yanko Todorov, Wojciech Knap, Marcin Bialek · 2026

Deep strong light-matter coupling represents an extreme non-perturbative regime of quantum electrodynamics, in which the interaction strength exceeds the bare frequencies of the uncoupled systems. The…

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Mathematics Preprint PDF DOI

Extremal graphs for average size of maximal matchings in bicyclic graphs

Kai Zhang · 2026

For a graph \(G\), let $avm(G)$ denote the average size of its maximal matchings. This parameter was introduced by Engbers and Erey in the study of extremal problems for maximal matchings, and they as…

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Mathematics Preprint PDF DOI

Classification results of Liouville equations and rigidity of Riemannian surfaces

Qianzhong Ou · 2026

We study the Liouville equation $\triangle u+e^{2u} =0$ in a Riemannian surface $(M, g)$ with nonnegative $Ricci$ curvature. Under some asymptotic lower bound assumptions, we classify all the soluti…

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Computer Science Preprint PDF DOI

Simpler and Improved Replacement Path Coverings

Davide Bilo, Shiri Chechik, Keerti Choudhary, Sarel Cohen, Martin Schirneck · 2026

An important tool in the design of fault-tolerant graph data structures are $(L,f)$-replacement path coverings (RPCs). An RPC is a family $\mathcal{G}$ of subgraphs of a given graph $G$ such that, for…

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Physics Preprint PDF DOI

Rotation-Induced Pressure Anisotropy in Newtonian White Dwarfs: Sequences and Applicability Criteria

Aray Muratkhan, Saken Toktarbay, Hernando Quevedo · 2026

We introduce a fast, one-dimensional Newtonian {reduced model} to capture uniform rotation in cold white dwarfs, encoding centrifugal support as an effective pressure anisotropy. Using $\Delta_{\rm ro…

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Physics Preprint PDF DOI

Axion dark matter from extended misalignment with a constant-$\omega_\phi$ pre-oscillatory phase and dark radiation

Jose Maria Perez-Poyatos · 2026

In this work, we extend the standard pre-inflationary misalignment mechanism for axion-like particles (ALPs) by introducing a pre-oscillatory phase with constant equation of state $\omega_\phi\in[-1,1…

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Mathematics Preprint PDF DOI

Stein's square function associated with the Bochner-Riesz means on M\'etivier groups and its applications

Joydwip Singh · 2026

In this paper, we study the $L^p$-boundedness of Stein's square function $\mathfrak{S}^{\alpha}(\mathcal{L})$ associated with the sub-Laplacian $\mathcal{L}$ on M\'etivier group $G$. A key aspect of o…

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Mathematics Preprint PDF DOI

Sufficient conditions for spanning $k$-trees in tough graphs

Caili Jia, Yong Lu · 2026

The toughness of a graph $G$, denoted by $\tau(G)$, is defined by $\tau(G)=$min $\{\frac{|S|}{c(G-S)}:S\subseteq V(G)$ and $c(G-S)\geq2\}$. A graph $G$ is said to be $\tau$-tough if $\tau(G)\geq \tau$…

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Physics Preprint PDF DOI

A New Perspective on Galactic Evolution: Studying the Outskirts of the Abell S1063 Galaxy Cluster

L. Pecoraro, A. Mercurio, M.Annunziatella, M. D'Addona, R. Ragusa, G. Angora, M. Girardi, G. Granata, C. Grillo, L. Limatola, P. Rosati, P. Bergamini, G. Caminha, F. Getman, A. Grado, M. Meneghetti, E. Vanzella · 2026

Galaxy physical properties are influenced by their environments, but the processes responsible for mass and environmental quenching and structural transformations remain debated. Galaxy clusters are i…

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Biology & Life Sciences Preprint PDF DOI

The Lifetime Cardiac-Cycle Invariant in Endothermic Vertebrates: A 230-Species Comparative Dataset, Statistical Validation, and Explicit Falsifiability Criteria

Mesfin Taye · 2026

A pygmy shrew (\textit{Suncus etruscus}, ${\approx}2$\,g) sustains a resting heart rate near $1{,}000$\,beats\,min$^{-1}$ and dies within two years; an African elephant (${\approx}4{,}000$\,kg) beats …

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Physics Preprint PDF DOI

Some Properties and Uses of the Species Scale

Luis E. Ibanez · 2026

The 'Species Scale' has proved to be an important concept when studying consistent effective actions in Quantum Gravity. This is a short summary of my contribution to the Corfu Summer Institute in Sep…

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