2656 papers
Mathematical physics sits at the fascinating intersection where abstract equations meet the fundamental laws of our universe. This field uses rigorous mathematical tools to model everything from the behavior of subatomic particles to the curvature of spacetime, turning complex theories into testable predictions. It is the language through which physicists describe reality, bridging the gap between pure mathematics and physical observation.
On Gist.Science, we process every new preprint published in this category on arXiv to make these dense studies accessible to everyone. Whether you are a specialist or a curious reader, you will find both plain-language overviews and detailed technical summaries for each paper. Below are the latest mathematical physics papers from arXiv, curated to help you explore the cutting edge of theoretical science.
This paper demonstrates that spontaneous symmetry breaking occurs in NLP models like BERT-6 during pre-training and fine-tuning, where individual attention nodes acquire specialized capabilities that, through cooperative scaling, enhance global task performance beyond the sum of their individual parts.
This paper presents a topology optimization framework based on time-dependent Ginzburg-Landau theory under the Weyl gauge to inversely design the structural geometries of type-II superconductors with superconductor-dielectric/vacuum interfaces, aiming to enhance flux pinning and current density through optimal defect placement.
This paper introduces and analyzes a new class of coherent states based on Fox-Wright functions, extending their properties from the discrete to the continuous spectrum and further generalizing the framework to the bicomplex domain.
This paper establishes necessary and sufficient conditions for the simultaneous symplectic spectral decomposition of a family of real positive semidefinite matrices with symplectic kernels and provides a precise algebraic condition for the orthosymplectic spectral diagonalization of a single such matrix, thereby generalizing existing results for positive definite matrices.
This paper establishes a general framework demonstrating that self-similar solutions to two-dimensional Riemann problems for the isentropic Euler system with shocks generally exhibit low regularity, specifically that the velocity field fails to belong to and may be discontinuous in the subsonic domain, thereby revealing a significantly more complex structure than solutions for potential flow.
This paper presents a unified Kähler manifold framework that systematically derives linear response equations for computing electronic excitation energies across various variational models, offering a streamlined alternative to traditional methods like Casida's derivation for Hartree-Fock and DFT.
This paper investigates the accretion of a collisionless relativistic gas by a rotating Kerr black hole, deriving closed integral expressions for physical observables and demonstrating that while black hole rotation significantly reduces the angular momentum accretion rate, it exerts a smaller, analytically predictable influence on mass and energy accretion rates.
This paper derives an exact kinetic solution for stationary Bondi-type accretion onto a Kerr black hole, providing explicit formulas for mass, energy, and angular momentum accretion rates to analyze black hole growth and spin-down under constant or cosmologically decreasing ambient energy densities.
This paper computes the imaginary part of the phononic excitation spectrum for a homogeneous Bose gas at low temperatures and low momentum in the thermodynamic limit, utilizing two distinct perturbation theory approaches based on the standard Liouvillean to analyze resonances near zero and the 2-point correlation function.
This paper derives discrete equations, including a new one with ternary symmetry, from Bäcklund transformations of the fifth Painlevé equation and constructs hierarchies of their rational solutions using generalized Laguerre and Umemura polynomials, while also demonstrating how nonunique rational solutions of the original equation yield distinct solution hierarchies for the same discrete equation.