3366 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 analyzes the coupled Riemann problem for compressible Euler equations with a stationary heat-flux discontinuity, demonstrating that non-uniqueness arises in Lax weak entropy solutions and establishing the existence and structure of unique admissible solutions under specific smallness conditions on the heat flux jump while identifying cases where no such solutions exist.
This paper revisits Jean-Marie Souriau's geometric quantization of the relativistic electron by proving key theorems to establish necessary symplectic and contact structures, ultimately deriving the Dirac equation, spin current conservation, and a systematic Kaluza-Klein-based construction of C, P, and T symmetries.
This heuristic paper extends the Laplace-Beltrami formalism, previously used to model gravitational wave energy from coalescing compact binaries, to a broader analysis of the Einstein field equations across zeroth, first, and second-order differential terms to evaluate its practicality and limitations in describing various general relativistic systems.
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 -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 realization of the sixth-order Pais-Uhlenbeck oscillator, revealing a hidden symmetry that governs both the classical non-diagonalizable Jordan chain structure and the quantum spectrum, while demonstrating that the associated tri-Hamiltonian formulation lacks a positive-definite generator and yields no independent higher-order integrals.