2619 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 presents a framework for analyzing rare events in small-noise Doob conditioned processes by reinterpreting the conditioned ensemble as a post-selected original process, thereby deriving an optimal-control variational principle for the generating function without requiring the explicit construction of the Doob drift.
This paper formulates a framework for algebraic tomography of finite-dimensional non-Hermitian Floquet systems that reconstructs spectral data from observable trace sequences using characteristic polynomial constraints and resolvent methods, while clarifying identifiability limits and demonstrating applications in driven qutrits and SSH chains.
This paper demonstrates that the SU(1,1) nonlinear Fourier transform can diverge pointwise for square-summable coefficients, thereby proving that classical pointwise asymptotics for orthogonal polynomials on the unit circle may fail even within the Szegő class, while also identifying specific conditions under which convergence is preserved.
This paper proves Soumik Pal's conjecture regarding the asymptotic behavior of the permanent of block-uniform matrices, confirming that the normalized permanent converges to an expression involving a large deviation rate functional and a Fredholm determinant derived from Peter McCullagh's formula.
This paper characterizes the minimizers and explicitly computes the optimal constants for a class of sharp weighted Sobolev-type inequalities on the interval by demonstrating that extremizers have constant signs and solve a nonlinear polyharmonic eigenvalue problem, thereby recovering various known sharp estimates and Hardy-type inequalities.
This paper investigates static, spherically symmetric spacetimes in covariant teleparallel gravity with electromagnetic sources, deriving field equations and conservation laws to establish a general reconstruction procedure that yields exact charged solutions—including black-hole-like and wormhole-like branches—which generalize Reissner–Nordström spacetimes and offer new insights into strong-field physics beyond General Relativity.
This paper investigates how localized slow bonds modify the large deviation functions of particle current in the symmetric simple exclusion process across three distinct geometries, providing exact analytical expressions validated by rare-event simulations and offering an elementary derivation for the semi-infinite case.
This paper proves a Quantum Ergodicity theorem for subLaplacian eigenfunctions on contact metric manifolds with ergodic Reeb flows by employing a specialized semiclassical pseudodifferential calculus and microlocal Landau projectors to adapt the classical proof strategy.
This paper introduces algebraic embedding techniques, specifically utilizing commuting embeddings and Lie theory, to compress the quantum resources required for parallel non-local games, thereby reducing the necessary qubit count below the standard tensor product baseline and enabling more efficient resource-constrained quantum computations.
This paper establishes that certain recently constructed smooth -modules admit a Wakimoto-type realization at both critical and non-critical levels, identifying their simple quotients with known Wakimoto modules in the critical case and generalizing specific constructions as generalized Whittaker modules.