2669 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 demonstrates that higher-order collective behavior, characterized by synergistic dependencies, can emerge solely from shared stochastic environmental fluctuations without direct component interactions, provided the system-environment coupling is dynamic rather than time-independent.
This paper establishes Hardy-type inequalities for magnetic Dirichlet forms with singular integral weights, analyzes their local and global optimality through detailed examples, and applies the findings to derive spectral estimates for magnetic Schrödinger operators.
This paper investigates the dynamics of charged null dust collapse in spherical symmetry by establishing that any timelike curve can serve as a bounce hypersurface for such fluids and formulating a free boundary problem to describe the conditional formation of these surfaces within Reissner-Nordström spacetime.
This paper reviews and extends general displacement solutions for static isotropic strain gradient elasticity by demonstrating that all classical elasticity representations can be generalized through Helmholtz decomposition, while establishing their consistency with prior work and proving the completeness of the resulting stress functions.
This paper proposes and substantiates a conjecture that the infinite symmetries of integrable systems are linear combinations of translation symmetries associated with the free parameters of multi-wave solutions, suggesting that undiscovered symmetries exist and that a unified hierarchical framework for classical, supersymmetric, and ren-symmetric integrable systems can be established using ren-variables.
This paper introduces a family of generalized fidelities rooted in the Riemannian geometry of the Bures-Wasserstein manifold that unifies and extends standard quantum fidelities and Rényi divergences while establishing their key invariance properties, matrix characterizations, and Uhlmann-like theorems.
This paper investigates the rich dynamical structure of higher-order -th -family equations by proposing and computationally verifying conjectures regarding the existence of distinct -independent and -dependent peakon and pseudo-peakon solutions, thereby generalizing previous results and outlining future directions for rigorous proof and physical application.
This paper introduces a novel grading approach to simplify and systematize the construction of polynomial Poisson algebras associated with commutants in Lie algebra enveloping algebras, demonstrating its utility through detailed analyses of reduction chains and the classification of centralizers for classical series .
This paper investigates the spectral properties of the scalar Laplacian on -dimensional warped product manifolds with compact cross-sections, specifically analyzing both compact and non-compact cases with finite-volume cusps to derive the resolvent, scattering matrix, and heat kernel, while demonstrating that the asymptotics of the regularized heat trace involve global coefficients expressed via the zeta function of the cross-sectional manifold.
This paper develops a semiclassical technique to compute the form factors of composite branch-point twist operators in the 1+1 dimensional quantum sinh-Gordon model on multi-sheeted Riemann surfaces, addressing the challenge of identifying exact bootstrap solutions with specific local fields to facilitate the calculation of entanglement entropies.