2563 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 unified framework for constructing Poisson and Jacobi brackets induced by 2-covariant tensors by deriving a curvature-based formula for the Schouten-Nijenhuis bracket that characterizes obstructions to these structures and recovers classical geometric brackets.
This paper provides a systematic construction of Yangian descendant states for the Haldane-Shastry spin chain using the algebraic Bethe ansatz, enabling the derivation of explicit product and determinant formulae for their norms and overlaps.
This paper proposes that intelligence can be universally measured as the thermodynamic amplification of rare but valid futures, arguing that recursive self-simulation is both necessary and nearly sufficient for a system to achieve high levels of this "rare-valid lift."
This paper establishes a symplectic duality identifying the cohomology of a quasimap space categorifying the constant term of geometric Eisenstein series for the mirabolic parabolic subgroup of with the local cohomology of a vector bundle on the fixed locus of the -surface singularity's Coulomb branch, under the action induced by a rank-one local system on the curve.
This paper investigates high-frequency electromagnetic propagation in a rotating García--Díaz black hole coupled to nonlinear electrodynamics, demonstrating that the constitutive response induces birefringence that splits the spacetime's null cone into two effective optical metrics, resulting in distinct polarization-dependent critical contours on the observer's celestial sphere.
This paper establishes conditions on the boundary traces of L2-solutions to general linear differential equations that allow for the unique reconstruction of the solution, demonstrating that for equations with constant coefficients, these trace conditions manifest as a generalized moment problem.
This paper extends the theory of Green functions and related kernels from reversible Markov chains with positive weights to networks with complex-valued admittances, demonstrating that concepts like transience and recurrence persist via analytic continuation and enabling the comparison of matrix power series between the two settings.
This paper investigates the spectral properties of discrete Laplacian and transition operators over non-Archimedean ordered fields, establishing a Cheeger's inequality and demonstrating its critical role in analyzing the convergence of random walks to equilibrium, with specific applications to the Levi-Civita field.
This paper establishes the almost sure wellposedness of the cubic nonlinear wave equation in a weighted Besov space over by proving the invariance of the weak limit of measures under the equation, while also deriving a weaker invariance result for the nonlinear Schrödinger equation.
This paper develops a forward-backward stochastic differential equation (FBSDE) approach to analyze the sine-Gordon Euclidean quantum field on full space up to the second threshold (), providing a cutoff-free description that facilitates the study of its large deviations, integrability, correlation decay, and other fundamental properties.