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 employs complex time Hamiltonian evolution and generalized coherent state transforms to analyze the response of integer and fractional quantum Hall states to both flat and non-flat Kähler toroidal geometry deformations, deriving explicit analytic expressions for the evolution of Laughlin states up to a curvature singularity in the latter case.
This paper characterizes the full set of KMS states for abelian Kitaev models by representing the quasilocal observables as a groupoid -algebra, proving the uniqueness of these states for all finite temperatures, and demonstrating that their zero-temperature limit coincides with the unique frustration-free ground state.
This paper introduces a homothetic extension of Weyl integrable geometry to develop a twisted Hodge theory that provides a rigorous geometric regularization of elliptic boundary value problems, enabling consistent weak solutions for incompatible data and nonsingular models for point sources through a diffuse interface penalty layer.
This paper introduces a structure-preserving Gaussian process framework that utilizes a novel nonholonomic matrix-valued kernel to learn dynamics while strictly enforcing nonholonomic constraints, thereby ensuring physically consistent motion and establishing theoretical guarantees on consistency and representation.
This paper proposes a -deformed Wheeler--DeWitt framework for Schwarzschild black and white holes that yields a finite-dimensional Hilbert space and bounded entropy, thereby resolving evaporation divergences through a stable cold remnant and establishing a consistent semiclassical link between quantum gravity and cosmology.
This paper demonstrates that a 1D periodic network of slowly time-modulated interfaces can generate effective time-dependent bulk wave properties and high-order dispersive effects through homogenization, while preserving reciprocity and exhibiting k-gaps under periodic modulation.
This paper develops a colored directed graph formalism to establish sharp operator norm bounds for partial traces of matrix tensors, demonstrating that their maximum values depend on the maximal number of directed cycles in associated graphs and applying these combinatorial results to extend asymptotic freeness concepts in multi-matrix random matrix theory.
This paper proves that for even levels, the Chern-Simons topological quantum field theory is naturally isomorphic to the Reshetikhin-Turaev TQFT constructed from the pointed modular category , establishing their equivalence as extended -dimensional theories for both closed 3-manifolds and bordisms with boundary.
This paper demonstrates that wave-particle complementarity is fundamentally reshaped by indefinite causal order, revealing a separation between spatial and causal resources that precludes a universal linear additive relation and necessitates the introduction of "causal coherence" to fully capture interference between alternative causal orders.
This paper derives and analyzes reduced bidirectional and unidirectional weakly nonlinear models for hydroelastic water waves coupled to a nonlinear viscoelastic plate, establishing local and global well-posedness results for these new nonlocal evolution equations.