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 introduces a family of second-order, linear, and unconditionally stable implicit-explicit methods for solving the Cahn-Hilliard-Navier-Stokes equations, which utilize an auxiliary-variable formulation and temporal-curvature regularization to ensure long-time stability while requiring only linear solves at each time step.
This paper derives finite size corrections for the real eigenvalue densities of elliptic Ginibre matrices in the orthogonal symmetry class across global and edge scaling regimes under both strong and weak non-Hermiticity, thereby extending previous asymptotic findings and recovering known results for the Gaussian orthogonal ensemble in the Hermitian limit.
This paper investigates the fine-scale analytic properties of imaginary multiplicative chaos, establishing its monofractality, a law of the iterated logarithm, and exact Besov regularity to demonstrate its noise-like behavior, while proving that its squared magnitude converges in law to white noise.
This paper proves that the critical inverse temperatures for the one-sided and two-sided Dyson models coincide when the interaction power lies strictly between 1 and 2, while conjecturing that this equality also holds for the case .
This paper demonstrates that the Krylov basis evolution of thermofield double states in random matrix theory provides a semiclassical Hilbert space description analogous to the double-scaled SYK model, which reduces to the Liouville Hamiltonian of JT gravity in a low-energy continuum limit, thereby suggesting a dual bulk gravity interpretation.
This paper presents a general geometric framework for constructing time-dependent integrable chiral field theories by mapping autonomous unitary -matrices to physical spacetime via affine characteristic transport, thereby deriving nonautonomous interactions and many-body wavefunctions directly from factorized scattering data and spatial homogeneity.
This paper proposes Mellin space reflection identities as a unifying framework for deriving modular transformation formulas and associated polynomial anomalies for special functions, ranging from the - function to the elliptic Gamma function and beyond.
This paper presents a thermodynamically consistent framework for modelling polyatomic gases by integrating the GENERIC formalism with an 11-moment description to unify rational and extended irreversible thermodynamics, ensuring second-law compliance and validating the model against DSMC simulations and experiments for shock wave structures in nitrogen.
This paper presents a deep-learning framework based on YOLOv11 that re-analyzes rejected GOTHIC survey candidates to distinguish genuine dual active galactic nuclei from chance superpositions, yielding a refined catalogue of approximately 13,672 to 29,605 plausible systems that significantly reduces contamination and expands the census of merging supermassive black holes.
This paper utilizes functional analysis to reveal four universal orthogonal decompositions of Hilbert spaces that characterize the static equilibrium of elastic bodies across arbitrary dimensions, boundary conditions, and formulations, including data-driven approaches.