New research demonstrates a fundamental link between the structure of entanglement entropy and holographic graph models, revealing which entropy profiles can be physically realized.
A new review assesses the strengths and weaknesses of density functional theory approaches for accurately predicting the behavior of these unique materials.
![The study demonstrates how circular quiver configurations-built from [latex]SU(N)[/latex] gauge groups-can be utilized, suggesting that even the most meticulously constructed theoretical frameworks are ultimately subject to the inescapable limitations inherent in any system approaching a singularity.](https://arxiv.org/html/2512.23878v1/Circular.jpg)
Researchers have extended a key mathematical conjecture to incorporate circular quivers and a novel deformation, revealing surprising connections between seemingly disparate areas of physics and mathematics.
![The growth rate function [latex] \tilde{g}\_{d\_{l},d\_{r},w,L}(\alpha) [/latex] of the average stopping set distribution demonstrates that, for a normalized size α and parameters [latex] (d\_{l},d\_{r},w,L) = (3,6,3,6) [/latex], the improved coupled ensemble exhibits a marginally larger smallest positive zero-approximately 0.01278 compared to the standard ensemble’s 0.01011-indicating a subtle shift in the distribution’s behavior.](https://arxiv.org/html/2512.24232v1/x3.png)
New research reveals the performance boundaries of SC-LDPC codes over finite fields, demonstrating optimal distance properties and a universal saturation point for decoding.
This article systematically examines the emerging landscape of regulatory technology designed to bring accountability to the decentralized world of cryptocurrencies.
New research delves into how disturbances to the simple harmonic oscillator impact the evolution of quantum wave functions and the formation of space-time singularities.
![Despite advancements in digital semantic communication ([latex]SemCom[/latex]), significant challenges remain in ensuring both security and practical deployment, necessitating further research into open problems within the field.](https://arxiv.org/html/2512.24602v1/x5.png)
As communication shifts toward transmitting meaning rather than raw data, a new wave of security vulnerabilities emerges, demanding novel defense strategies.
![The study numerically investigates how defects influence system dynamics within a [latex]L=21[/latex] system, revealing that the density of excitations originating from product states-specifically those defined by unit cells (3,5), (3,9), (5,7), (2,5), (4,5), and (6,5)-is demonstrably affected by these imperfections.](https://arxiv.org/html/2512.23794v1/x20.png)
Researchers have used programmable Rydberg atom arrays to model complex quantum systems, revealing how broken symmetries and critical points shape their behavior.
This review unveils a robust theory of stable envelopes, offering a powerful tool for understanding the geometry of critical loci and advancing enumerative problems.
Researchers demonstrate a new method for encrypting data and uniquely identifying devices using the inherent randomness of light traveling through silicon nitride chips.