2548 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 investigates holographic fluctuation equations with apparent singularities approaching the boundary, demonstrating that their merger can generate either zeros or poles in spectral functions while preserving the validity of the holographic product formula.
This paper establishes the sharp asymptotic threshold for the decay of real-valued potentials in one-dimensional discrete Schrödinger operators that determines the existence or nonexistence of embedded eigenvalues.
This paper proposes a new model for spherically symmetric anisotropic neutron stars in General Relativity by introducing a non-zero, positive minimum complexity factor at the stellar boundary, demonstrating that the vanishing complexity condition is not applicable to compact objects in the strong-gravity regime.
This paper establishes an exact algebraic framework for active continua on hyperbolic manifolds that derives precise critical thresholds for macroscopic polarization, identifies a BPS limit enabling velocity field reduction via Möbius symmetry, and reveals a non-Hermitian second-order exceptional point with a specific algebraic scaling law, thereby providing a closed-form solution for geometric frustration and topological phase transitions in soft mechanics.
This paper establishes multi-time soft-edge moment convergence for the Jack–Plancherel process to an Airy-related limit described by a Brownian bridge expansion, which further yields a -topological expansion for the marginal -conjecture and an explicit nonnegative formula for Witten–Kontsevich intersection numbers at .
This paper establishes a singular perturbation limit for the Schrödinger equation in a randomly fluctuating magnetic field, demonstrating that the solution converges to a deterministic equation with Gaussian fluctuations and proposing a simplified stochastic model that captures both the average behavior and fluctuations to facilitate the study of observable distributions.
This paper establishes a rigorous mean-field limit for the Schrödinger-Lohe model with quantitative fluctuation estimates in the 2-Wasserstein distance and derives sufficient conditions for complete and practical synchronization in the resulting kinetic equation.
This paper presents an asymptotically exact geometric framework using conformal mapping to resolve electromechanical domain wall propagation in dielectric elastomers, deriving a rigorous topological mass term and exact analytical scalings for interface properties while eliminating the phenomenological parameters inherent in traditional models.
This paper identifies non-Gaussian corrections to the central limit theorem for the Stieltjes transform of Wigner matrices, revealing a substantially slower convergence rate in the real case compared to the complex case through the development of new extended cumulant hierarchies analyzed via a refined zigzag strategy.
This paper proposes a manifestly conformally invariant off-shell definition of the Galilean Weyl tensor and its electric and magnetic parts, arguing that the vanishing of the magnetic part via specific observers should be a necessary condition for a theory to be termed "Newtonian," while also demonstrating that a unique Galilean boost-invariant connection can be constructed without a mass gauge field.