Flow, Form, and Symmetry: A New Geometric View of Fluid Dynamics
![The study examines the interplay between the coisotropic [latex]\mathcal{C}_{M^{4}}[/latex] and the Lagrangian [latex]\mathcal{L}_{{{\varepsilon}},{\bf g}}[/latex] within the manifold [latex]\mathscr{P}_{M^{4}}[/latex], suggesting a fundamental relationship governing the system’s dynamics.](https://arxiv.org/html/2512.25053v1/cois-lag.png)
A novel mathematical framework casts relativistic hydrodynamics as a problem of intersecting geometric structures, potentially unlocking new insights into integrable systems.
![The study examines the interplay between the coisotropic [latex]\mathcal{C}_{M^{4}}[/latex] and the Lagrangian [latex]\mathcal{L}_{{{\varepsilon}},{\bf g}}[/latex] within the manifold [latex]\mathscr{P}_{M^{4}}[/latex], suggesting a fundamental relationship governing the system’s dynamics.](https://arxiv.org/html/2512.25053v1/cois-lag.png)
A novel mathematical framework casts relativistic hydrodynamics as a problem of intersecting geometric structures, potentially unlocking new insights into integrable systems.

Researchers have demonstrated a novel method to control the quantum properties of 2D materials by applying oscillating strain, paving the way for new device functionalities.
![The twisted-translated Coulomb branch operator [latex]\mathcal{O}(\varphi)[/latex] manifests as distinct actions on the hemisphere partition function-[latex]\mathcal{O}_{N}[/latex] corresponding to [latex]\mathcal{O}(0)[/latex] at the [latex]N[/latex] endpoint of [latex]HS^{1}[/latex], and [latex]\mathcal{O}_{S}[/latex] representing [latex]\mathcal{O}(\pi)[/latex]-illuminating how operator behavior is intrinsically linked to specific points within the system’s geometric configuration.](https://arxiv.org/html/2512.23908v1/x3.png)
New research delves into the complex behavior of 3D supersymmetric theories with unconventional matter content, revealing insights into their fundamental structure.
A new review clarifies the complex interplay of symmetry and interactions driving subtle spin phenomena in materials, paving the way for advanced magnetic technologies.

A new analysis of the Klein paradox reveals how constant and pulsed electric fields can induce current flow through what appears to be a vacuum, a consequence of fundamental particle-antiparticle creation.

New theoretical work reveals how spin decoherence impacts magnetoresistance in nanoscale magnetic materials, offering a more complete picture than traditional models.
![Correlation functions for [latex]J/\psi \Lambda[/latex] pairs were obtained, parameterized according to the values detailed in Table 2, to explore the underlying dynamics of this particle system.](https://arxiv.org/html/2512.24247v1/x5.png)
This review explores the subtle forces between particles and how they reveal the existence of previously unknown states of matter.
![The residue of a bound-state pole in a six-dimensional system exhibits a dependence on the bound-state mass [latex]m_b^2[/latex], with calculations employing [latex]N_{max} = 8[/latex] and [latex]N_{max} = 10[/latex] demonstrating convergence of the renormalised coupling [latex]g_{ren}[/latex] to a finite value at [latex]m_b^2 = 4[/latex].](https://arxiv.org/html/2512.24474v1/x6.png)
A new analysis reveals how the fundamental rules governing particle interactions change as we move beyond familiar dimensions.

Advances in spectroscopic techniques are now allowing scientists to directly visualize and quantify the geometric properties of electrons in solids, promising unprecedented control over material behavior.
![The study models interacting particles as a dimer of spheres-characterized by radius [latex]a[/latex] and inter-center distance [latex]d[/latex]-and represents their behavior through a two-port equivalent circuit applicable in both full-wave and static regimes, ultimately defining a resonant mode condition where input impedance reaches zero and is sensitive to polarization along the [latex]x[/latex], [latex]y[/latex], and [latex]z[/latex] axes.](https://arxiv.org/html/2512.24104v1/x1.png)
New research reveals how to precisely control light scattering from paired spheres by harnessing exceptional points of degeneracy, opening doors to more sensitive optical sensors.