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 demonstrates that for non-compact Lorentzian manifolds satisfying the "no observer horizons" condition, the group of time orientation-preserving isometries acts properly, leading to the existence of an invariant Cauchy temporal function and a structural decomposition of the isometry group into a compact subgroup and a time-translation component restricted to the trivial group, , or .
This paper analyzes a two-step port-based teleportation protocol that reuses the same resource state, demonstrating that it achieves high fidelity comparable to optimal multi-port teleportation while proving that entanglement recycling remains feasible even with non-optimized resources.
This paper introduces a mathematically well-posed second-gradient framework for incompressible viscous fluids with pressure-dependent viscosity that ensures ellipticity of the governing pressure equation, and demonstrates that explicit solutions for steady cylindrical flows converge to classical Navier-Stokes results as characteristic length scales vanish.
This paper establishes a rigorous framework for analyzing ergodicity and mixing in time-inhomogeneous quantum dynamics by introducing a quantum Markov-Dobrushin approach that quantifies convergence rates, reveals the structural nonequivalence of forward and backward evolutions, and unifies the theory with non-translationally invariant matrix product states for experimentally relevant many-body systems.
This paper extends the explicit parametrization of torsion-free rank one sheaves with vanishing cohomology on projective irreducible curves to arbitrary ranks, illustrated by a specific calculation for rank two sheaves on a Weierstrass cubic curve.
This paper derives a gauge-invariant local classical action for Lie-Poisson electrodynamics that resolves the longstanding challenge of formulating gauge theory on -Minkowski space-time by yielding deformed Maxwell equations as Euler-Lagrange equations for any Lie-algebra-type noncommutativity.
This paper investigates the first-passage properties of a jump process with constant drift and arbitrary light-tailed distributions, identifying three distinct regimes (survival, absorption, and critical) and deriving explicit expressions for exponential decay rates, algebraic decay, and asymptotic behaviors of mean first-passage times and variances.
This paper presents a geometric formulation of quantum mechanics that extends the standard Kähler framework by coupling the symplectic structure of projective Hilbert space to a metric-affine background, resulting in a mathematically consistent, deformed Hamiltonian dynamics where curvature and torsion induce specific corrections to quantum evolution and geometric phases.
This paper demonstrates the integrability of a generalized multivariable Painlevé-II equation with symmetry breaking, utilizing a Lax pair and the exact solution of the Demkov-Osherov model to derive connection formulas for asymptotic solutions and apply them to the precise scaling of excitations in unstable vacuum decay during second-order phase transitions.
This paper establishes moment bounds for weighted degrees on random Delaunay triangulations derived from stationary point processes, demonstrating how these integrability properties ensure the well-definedness and key characteristics of symmetric simple exclusion processes while extending construction results to non-symmetric cases under specific dependence and boundedness conditions.