3190 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 proves a non-perturbative characteristic gluing theorem that constructs vacuum spacetimes transitioning from a Schwarzschild horizon to an extremal Kerr horizon, thereby providing the first rigorous counterexample to the third law of black hole thermodynamics in vacuum.
This paper proves that determining membership in the convex cone of quantum states over time is NP-hard by demonstrating that the cone contains a linear copy of the bipartite separable cone, thereby establishing that no polynomial-time membership tests exist unless P=NP and that the cone lacks a finite semidefinite representation under specific dimensional constraints.
This paper provides a complete classification of finite-dimensional simple Novikov algebras over an algebraically closed field of characteristic , including previously missing families, and determines their explicit normal forms, isomorphisms, and all nontrivial irreducible bimodules.
This paper constructs stationary measures for the multispecies ASEP on the positive half-line with boundary injection using vertex models, extending full-line results to the half-line and computing joint occupation distributions for the two-species case.
This paper quantifies the sharp violation constants for various characterisations of traces and central elements in matrix algebras and finite von Neumann algebras, demonstrating that these constants are governed by Michelson contrast and noncentrality parameters respectively, with exact values derived for numerous inequalities including Gardner's inequality and the Novikov-Tikhonov characterisations.
This paper proposes an optomechanical protocol utilizing Stokes-like measurements of an optical field to experimentally characterize phase-space noncommutativity in an anisotropic oscillator by deriving the system's covariance matrix and establishing a theoretical link between noncommutative parameters and observable optical responses.
This paper provides an overview of open-source software, computational pipelines, and community standards—such as BIDS, HED, and FAIR principles—that are essential for achieving reproducible, robust, and generalizable EEG research across diverse datasets and analytical environments.
This paper investigates Birkhoff magnetic billiards in constant weak magnetic fields by establishing the existence of a functional family of centrally-symmetric convex tables with the magnetic Radon property via topological arguments, while proving that tables with discrete rotational symmetry admit invariant curves of periodic orbits only if they are circular, all supported by newly developed tools including magnetic duality and generating functions for outer magnetic billiards.
This paper establishes a path space large deviation principle for interacting particle systems on a finite lattice, identifying the rate function as the Legendre transform of a nonlinear Hamiltonian through martingale techniques and exponential tilting, while demonstrating the framework's applicability to diverse models ranging from partial exclusion processes to continuous-state energy-exchange systems.
This paper establishes the -inextendibility of all Kerr spacetimes, including subextremal, extremal, and overextremal regimes with positive mass and nonzero rotation, by demonstrating that the singular ring creates an obstruction characterized by unbounded proper time in fixed-endpoint causal homotopy classes that persists under continuous conformal rescalings and causal cone widening.