1677 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 characterizes the limiting geometry of numerical ranges for fundamental non-Hermitian random matrix ensembles, demonstrating that elliptic Ginibre and chiral variants converge to ellipses while non-Hermitian Wishart matrices and products of multiple elliptic Ginibre matrices form non-elliptic envelopes.
This paper establishes a unified algebraic framework using the meta Racah algebra to study finite families of Racah-type orthogonal polynomials and biorthogonal rational functions, identifying them as overlap coefficients that naturally yield their orthogonality relations and bispectral properties.
This paper establishes the precise late-time oscillating and decaying tails of charged scalar fields on near-extremal Reissner--Nordström spacetimes and proves the existence of asymptotic instabilities along future null infinity and the event horizon using purely physical-space methods without assuming smallness of the scalar field charge.
This paper establishes annealed central limit theorems for finite pattern counts in disordered quantum trajectories under summable mixing and trace-norm forgetting conditions, demonstrating that Gaussian fluctuations persist for admissible initial states and universally for all initial states in the perfect-measurement regime.
This paper serves as a final, albeit reluctant, and satirical rebuttal by Z. Sommer and A. Winter against John Doe and Jean Roe's persistent criticisms of a previous refutation regarding a proposed "genuinely natural information measure." The authors clarify that the original work under discussion was authored solely by A. Winter, not by both Sommer and Winter, and present this April Fools' commentary as a humorous conclusion to the exchange.
This paper argues that the logical inconsistency purportedly demonstrated by the Frauchiger-Renner Gedankenexperiment is resolved by applying the property of contextuality from the Kochen-Specker theorem, rendering the supposed contradiction logically inaccessible.
This paper investigates the existence and size of separable neighborhoods around the identity in bipartite C*-algebras by reducing the problem to estimating completely bounded norms of contractive positive maps, thereby characterizing these neighborhoods via the algebra's rank and resolving a conjecture by Musat and Rørdam.
This paper establishes the convergence of the ground state energy of the Bose-Hubbard model on graphs with large coordination number to a strong-coupling mean-field functional by developing and applying a novel "polaron-type" quantum de Finetti theorem tailored for tensor products involving bosonic Fock spaces.
This paper introduces and studies fused K-operators of arbitrary spin within the framework of the alternating central extension of the -Onsager algebra, proving that they satisfy the spectral-parameter dependent reflection equation and providing explicit expressions for low-spin cases.
This paper investigates the evolution of torsional rigidity under geometric flows by deriving specific bounds for Heisenberg spaces and homogeneous spheres under Ricci Flow, and establishing comparison inequalities with flat disks for strictly convex free-boundary hypersurfaces under Inverse Mean Curvature Flow.