1694 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 explores how reference frame transformations can be modeled as mixed states forming a semigroup rather than pure states forming a group, demonstrating that a quantum system in a pure state relative to one frame can appear as a thermal mixed state relative to another, particularly within the context of Galilean transformations and the time-energy uncertainty relation.
This paper rigorously establishes a solution concept for the linear two-dimensional mountain wave problem by deriving a Helmholtz equation with an altitude-dependent potential and constructing the physically correct solution via a transform method that distinguishes between vertically propagating waves and trapped lee waves under a non-classical radiation condition.
This paper demonstrates that PT-symmetry serves as the fundamental mechanism underlying quasi-integrability in deformed integrable models, ensuring the asymptotic conservation of charges through the definite PT-properties of their Lax pairs and anomalous contributions across various physical systems.
This study utilizes a large-scale, patient-specific computational fluid dynamics framework to demonstrate that specific abdominal aortic aneurysm geometric features reliably dictate hemodynamic patterns, suggesting these geometry-driven flow signatures can serve as valuable biomarkers for predicting aneurysm growth and rupture risk.
This paper develops an age-structured hydrodynamic theory to describe the collective behavior and non-equilibrium steady states of large ensembles of anomalously diffusing particles under stochastic renewal resetting, revealing that while independent resetting yields standard densities, protocols introducing global inter-particle correlations result in steady-state distributions with compact supports.
This paper introduces a novel data-driven framework for discovering stochastic differential equations by unifying Weak SINDy's spatial Gaussian test functions with stochastic system identification, thereby eliminating structural regression bias through unbiased noise projection and enabling the joint sparse recovery of drift and diffusion terms with high accuracy across multiple benchmarks.
This paper presents a priori error analysis for a fully discrete, explicit, loosely coupled scheme for the time-dependent Stokes-Biot problem, proving unconditional first-order temporal accuracy and optimal spatial convergence through a discrete energy framework and numerical validation.
This paper establishes the existence and completeness of wave operators, the absence of singular continuous spectrum, and specific eigenvalue accumulation properties for scattering systems governed by non-elliptic unperturbed operators and anisotropic potentials, with applications to invariance principles and time-dependent scenarios.
This paper analyzes the causal structure and geodesic dynamics of horizonless JMN-1 and JNW spacetimes to demonstrate how their distinct singularity types and effective repulsive behaviors produce unique strong-field lensing and shadow signatures that could be observationally distinguished from black holes by instruments like the Event Horizon Telescope.
Motivated by recent works of Lewin, Lieb, and Seiringer, this paper proposes rigorous definitions of the quantum and classical non-uniform electron gas via grand-canonical functionals, establishes them as thermodynamic limits, and analyzes their properties in the presence of an arbitrary lattice-periodic background density.