1695 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 well-posedness of the heat equation with homogeneous Dirichlet boundary conditions in time-evolving domains undergoing topological transitions by introducing anisotropic space-time function spaces and applying the Babuška-Banach theorem to prove existence, uniqueness, and a priori estimates for weak solutions.
This paper investigates the Gibbs phenomenon in the Fourier approximation of the sign function using Krawtchouk polynomials, demonstrating that unlike classical orthogonal polynomials, it exhibits a distinct Gibbs constant and a bounded steepness that converges to as the degree increases.
This paper employs Lie Symmetry Analysis and Noether Point Symmetry methods to derive the symmetry generators and conserved quantities of the Einstein vacuum field equations, thereby offering a novel reformulation of Birkhoff's Theorem.
This paper utilizes the isomorphism between the six-dimensional nilpotence variety and within the pure spinor superfield formalism to classify and explicitly construct various six-dimensional supermultiplets, including vector, hyper, and supergravity multiplets, by associating them with line bundles and higher-rank equivariant vector bundles on projective spaces.
This paper demonstrates that arbitrarily small odd-parity perturbations fundamentally alter the topology of zero-helicity vortices and field-reversed configurations by transforming their interior flux surfaces from toroidal to simply connected, thereby necessitating a revision of established models in both fusion confinement physics and fluid dynamics.
This paper establishes the well-posedness, instantaneous separation, and long-time convergence to stationary states for a two-dimensional bulk-surface Cahn--Hilliard model with non-degenerate mobility and singular potentials, utilizing a novel regularity theory for bulk-surface elliptic systems to prove uniqueness and continuous dependence.
This paper establishes that the uniqueness of quantum state purifications up to local unitary transformations is mathematically equivalent to Haag duality (), demonstrating that this uniqueness can fail in infinite-dimensional systems even when local tomography is possible.
This paper establishes a geometric control framework for boundary-catalytic branching processes by utilizing a Steklov spectral problem to determine the critical absorption rates required to balance population growth and achieve a steady state, while identifying a threshold beyond which such control becomes impossible.
This paper extends PrvanoviÄ's coordinate-free formulation of the Einstein connection for almost Hermitian manifolds to almost contact metric manifolds satisfying an -torsion condition, providing explicit torsion formulas and analyzing special cases within the Gray-Hervella classification.
This paper proposes group entropies as a unifying framework that defines universality classes of extensive entropies for strongly correlated systems, successfully deriving consistent thermodynamic laws and demonstrating that black holes naturally exhibit negative specific heat within this formalism.