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 derives the exact solutions of the inverted Dirac-Moshinsky oscillator in dimensions, revealing a purely continuous spectrum governed by $SU(1,1)$ symmetry and identifying Gamow resonances that signal vacuum instability and spontaneous pair production analogous to the Schwinger effect.
This paper introduces temporal matrix scale invariance (tMSI) as a mathematical framework for analyzing multivariate time series near tipping points, deriving a classification scheme that distinguishes between recoverable and catastrophic transitions based on the relationship between dynamical and spectral relaxation exponents and providing a matrix-valued early warning diagnostic applicable to conditions like epilepsy and myocardial infarction.
This paper revisits the Salecker–Wigner–Peres stationary quantum clock to identify and remove a universal low-energy threshold singularity, thereby isolating the true resonant delay contribution and providing a refined observable that distinguishes kinematic threshold effects from pole-sensitive scattering dynamics.
The paper claims to prove the global in time regularity of solutions to the Navier-Stokes equations when defined in complex space.
This paper establishes that the expected spectral measures of self-adjoint operators on infinite unimodular weighted graphs satisfy a logarithmic Hölder regularity estimate under natural geometric conditions, extending the classical Craig–Simon theorem beyond Euclidean lattices to diverse settings including group algebras, random operators, and quasi-transitive graphs.
This study reveals that while attractive interactions mediated by shell restructuring enable the formation of bound pairs, chains, and hexagonal clusters of bimerons and hopfions in chiral magnet thin films with a conical background, these systems ultimately fail to crystallize into stable lattices due to the progressive invasion of conical spiral or CF-1 phases into inter-soliton regions.
This paper establishes that multi-region relaxed magnetohydrodynamic (MRxMHD) equilibrium equations are the necessary and sufficient conditions for a magnetic field and metric to be stationary points of magnetic energy under constraints on pressure, relative helicity, and magnetic flux, while also introducing a new gauge condition, proving the gauge invariance of relative helicity, and identifying a sufficient condition for energy minimization in single-region cases.
This paper establishes an upper bound on the ground state energy of a dilute two-dimensional Fermi gas with repulsive short-range interactions, deriving a two-dimensional analogue of the Huang–Yang formula that captures the first three terms of the asymptotic expansion for small density and scattering length.
This paper investigates a nonlinear heat transfer equation in one, two, and three spatial dimensions by classifying its symmetries with respect to the thermal conductivity function, deriving recursion operators and infinite symmetry hierarchies for the one-dimensional case, and constructing exact solutions for all dimensions.
This paper utilizes the Kac-Rice formalism to derive the finite-size eigenvalue and eigenvector distributions for a Gaussian ensemble interpolating between non-Hermitian classes A and AI, revealing that while bulk and fixed-parameter edge behaviors follow standard laws, a specific scaling of the interpolation parameter uncovers a new universal transitional regime in the edge eigenvalue density.