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 theoretically establishes that neural architectures using fixed-point Schrödinger-type dynamics on learned latent graphs are equivalent to global stationary systems on supra-graphs, providing a unified framework that links these models to sheaf-based architectures and ensures complexity is governed by sparse graph geometry rather than dense connectivity.
This work employs simulations of open quantum systems and the theory of quantum optimal control, specifically the Krotov method, to overcome noise-induced limitations in statically coupled exchange surface qubits, and demonstrates that high-precision operations are achievable through optimized experimental designs that surpass conventional Rabi driving.
This paper argues that current macroscopic models for the joint filtration of immiscible liquids, such as the Buckley-Leverett model, are insufficient because they lack microscopic detail, and proposes that exact modeling should instead be achieved through classical Newtonian mechanics and homogenization methods.
This paper constructs the asymptotic gauge charges for the Curtright mixed-symmetry field interpreted as a dual graviton in five-dimensional Minkowski spacetime, revealing a charge algebra that forms an abelian extension of a BMS-like algebra with a higher-spin supertranslation sector when restricted to specific symmetry generators on the sphere at null infinity.
This paper investigates how different mathematical forms of the kinetic energy operator affect the energy spectra of double heterostructures with position-dependent effective mass, utilizing both analytical transcendental equations and reflection coefficient pole analysis to critically evaluate the relevance of various operators.
This paper proposes a unified framework of four magnetization state definitions—ranging from intrinsic material properties to motor-level electrical quantities—to bridge the gap between material characterization and performance evaluation in variable flux motors using low coercive force magnets.
This paper investigates how dissipation and toroidal geometry influence the motion of vortex binaries in periodic fluid domains, demonstrating that while local dynamics allow for analytical solutions, the periodic boundary conditions induce geometric corrections such as angular drift in dipoles and a unique nonlinear frequency chirp during inspiral.
This paper demonstrates that torus one-point functions in critical loop models can be expressed via sphere four-point functions at a different central charge, allowing the authors to use a numerical bootstrap approach to systematically compute these functions as infinite linear combinations of conformal blocks.
This paper develops a comprehensive theory of adjusted connections on non-abelian bundle gerbes using Saemann's non-abelian differential cohomology, providing a coordinate-independent formulation of the Tellez-Dominguez lifting theorem that relates these connections to those on abelian bundle 2-gerbes.
This paper demonstrates that one-dimensional hard-rod gases governed by either stochastic (diffusive) or unitary (ballistic) dynamics exhibit identical non-Gaussian fluctuations in the large-scale, long-time one-time joint distribution of tracer positions, revealing an emergent universality despite their fundamentally different microscopic behaviors.