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 establishes the local existence of weak solutions for time-dependent fractional Kohn-Sham equations in three dimensions with energy subcritical non-linearities, proves their global extension under specific energy control conditions, and demonstrates well-posedness for the case where the fractional parameter lies in using Strichartz estimates.
This paper derives and solves the Schwinger-Dyson and saddle point equations for type (0,1) random fuzzy geometries coupled to fermions or bosons, providing rigorous free energy and moment formulas in Gaussian cases that connect to the Hoppe and three-colour models.
This paper derives exact analytic quasi-stationary states for a massive scalar field in a dyonic Kerr-Sen black hole background using horizon-regular coordinates, revealing a quantized spectrum where positive-energy modes grow exponentially to destabilize the chronology-violating inner region, thereby supporting Hawking's chronology protection conjecture.
This paper establishes the long-time asymptotics for the focusing modified Korteweg-de Vries equation with finite-genus quasi-periodic initial data and discrete spectrum in a critical regime where stationary phase points coalesce with branch cut endpoints, revealing that the solution is uniformly approximated by a modulated algebro-geometric background and breathers governed by a Painlevé XXXIV parametrix.
This paper derives an explicit blockwise formula for the $RO(O(2))$-valued spectral flow of Dirac operators on a finite warped cylinder with higher-rank orthogonal twists and APS boundary conditions, demonstrating how representation-theoretic information is preserved beyond standard integer-valued spectral flow through the decomposition of moving and stationary blocks under reflection symmetry.
This paper constructs a cohesive -topos equipped with a quantum modality derived from finite-dimensional -algebras, providing the first rigorous model for cohesive linear homotopy type theory that interprets decoherence, yields a non-degenerate affine model of multiplicative intuitionistic linear logic, and establishes a synthetic no-cloning theorem.
This paper investigates a resonant three-dimensional ghostly Hamiltonian model of the Pais-Uhlenbeck oscillator, revealing a hidden symmetry that governs its non-diagonalisable Jordan chain structure, tri-Hamiltonian geometry, and the absence of a positive-definite Hamiltonian despite the existence of higher-order symmetries.
This paper introduces the concept of a timelike ideal boundary for non-positively curved Lorentzian length spaces, equips it with a cone topology and angular metric to establish upper curvature bounds, and analyzes its relationship with generalized cones and warping functions.
This paper addresses the challenge of defining diffeomorphism actions on cochains within a quantum gravity framework by utilizing homotopy transfer to induce an action, which is explicitly computed for interval, circle, and square space-times.
This paper demonstrates that the Husain-Kuchař model arises as the Carrollian limit of the Holst term within background-independent field theories and examines the resulting Carrollian symmetry features in its Hamiltonian formulation.