1605 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 extends the enumeration of eventually constant set-valued quiver representations to finite quivers without sinks by encoding them as directed acyclic graphs and applying a recursive source-removal method to derive cardinality formulas that recover multisymmetric generating polynomials without relying on the matrix-tree theorem.
This paper presents a new proof of Lorentzian splitting theorems by utilizing a non-uniformly elliptic -d'Alembert operator to sacrifice linearity for ellipticity, thereby unifying these results with the framework of the Riemannian Cheeger-Gromoll splitting theorem.
This paper introduces polynomial-depth duality transformations to efficiently prepare Gibbs states for quantum Hamiltonians, such as the 2D toric code, by mapping them to dual classical systems like Ising chains while preserving key mixing properties under Lindbladian dynamics.
This paper establishes a correspondence between free point particle dynamics on Riemannian manifolds and spin chains by utilizing the Kirillov orbit method and geometric quantization to demonstrate that the Laplace-Beltrami operator on a Lagrangian submanifold is spectrally equivalent to a spin Hamiltonian derived from the quadratic expansion of a specific Hamiltonian.
This paper employs catastrophe theory to demonstrate that the transition from inspiral to plunge for extreme mass-ratio inspirals on inclined Kerr orbits is universally governed by the tritronquée solution of the Painlevé I equation, with equatorial and inclined cases corresponding to fold and cusp catastrophes, respectively.
This paper demonstrates that the Ivancevic option-pricing nonlinear Schrödinger equation, under constant-coefficient assumptions, admits a Betchov-type hydrodynamic formulation analogous to the vortex filament equation, thereby establishing a structural bridge between nonlinear wave models in mathematical finance and geometric fluid mechanics.
This paper proposes a novel framework linking de Sitter quantum field theory, harmonic analysis, and analytic number theory by using Krein space quantization to derive a spectral interpretation of the Riemann -function on the critical line, where its zeros correspond to a mass-time scaling in de Sitter geometry.
This paper presents a new open-source compositional flow model implemented in the PorePy framework that simulates non-isothermal, multiphase flow and halite precipitation in high-enthalpy fractured geothermal reservoirs, utilizing a robust primary variable formulation and discrete fracture-matrix approach to accurately predict permeability damage and operational challenges.
This paper proves that nonequilibrium steady states on large dense networks exhibit Boltzmann-like occupation probabilities despite extensive entropy production, driven by the principle that these systems spend more time in states they exit more slowly.
This study analyzes a toxin-driven plant-herbivore model with cross-diffusion to demonstrate how varying toxicity levels and movement strategies induce distinct dynamical regimes, including Hopf and Turing bifurcations, leading to the emergence of coherent spatiotemporal structures such as oscillations, spatial patterns, and mixed modes.