3210 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 establishes that under specific positivity and variance compatibility conditions, interacting particle systems with inverse-separation interactions avoid simultaneous multi-particle or disjoint-pair collisions, and utilizes symmetric polynomials to derive precise Hausdorff dimension bounds for their collision times, thereby generalizing results for well-known models like Dyson and Wishart processes.
This paper revisits and refines the combinatorial loop-equation method to systematically solve planar disc amplitudes in multi-matrix models, successfully recovering known results for the three-state Potts model and deriving new algebraic equations for cases with unequal couplings and previously unsolved models.
This article serves as the second part of a review on spacetime singularities, focusing on their concrete realization in spatially homogeneous cosmologies by deriving field equations, classifying various singularity types (from matter to whimper singularities), and analyzing their dynamical behaviors within the Bianchi classification framework.
This paper introduces causal graph rewriting, an asynchronous computational model on directed acyclic graphs where oriented edges serve as both dependencies and mutable locality constraints, establishing that local rules preserve structural context and can simulate any one-dimensional cellular automaton.
This paper establishes a mesoscopic central limit theorem for linear statistics of -ensembles in the intermediary temperature regime , revealing a transition between Random Matrix and Poisson fluctuation behaviors at a critical scale and proving the result via optimal local laws, Stein's method, and novel correction terms to the equilibrium measure.
This paper derives explicit asymptotic expansions of partition functions up to order $1$ for determinantal planar Coulomb gases with smooth radial potentials and various jump-type singularities and hard wall regions, thereby unifying and generalizing numerous previous results.
This paper establishes an upper bound for the ground state energy density of a dilute Bose gas interacting via a general short-range, repulsive potential by extending a recent approach originally developed for hard spheres.
This paper establishes that the subcritical mass gap in the planar Ising model is comparable to the Lee-Yang gap raised to the power of by combining random-current moment bounds, correlation inequalities, and finite block expansions for the upper bound with Lee-Yang product relations and critical magnetization for the lower bound, while also deriving uniform factorial bounds on the pressure's field derivatives.
This paper establishes the asymptotic stability of soliton solutions for the 2D Maxwell–Lorentz equations describing an extended charged rotating particle moving with constant velocity and rotating with constant angular velocity.
This paper establishes a quasi-local thermodynamic formalism for general spacetimes by generalizing the Bondi-Sachs formalism to past light cones, demonstrating Hawking radiation and an irreversible inequality to construct a framework that unifies spacetime dynamics with thermodynamics and defines rest-mass density from thermodynamic variables.