2656 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 reviews recent progress and presents original results on applying quantum geometry, including Zeeman and information geometries, to -wave magnets () to derive universal analytic formulas for their anomalous transport, magneto-optical, and oscillation phenomena.
This paper generalizes Müger's result to non-fusion cases by proving that the unitary Drinfeld center of a unitary tensor category is equivalent to the category of unitary bimodules for a canonical W*-algebra object, a result subsequently applied to express factorization homology via C*-algebraic extensions and actions of Drinfeld doubles of compact quantum groups.
This paper introduces and analyzes multi-variable Sklyanin-Whittaker integrals by establishing their determinantal formulas, while also exploring their -deformations, connections to determinantal point processes, and associated Mellin-Barnes integrals.
This paper establishes the existence of forward self-similar weak solutions to the 2D hypodissipative Navier-Stokes equations with fractional diffusion for large homogeneous initial data, and proves that these solutions are smooth and satisfy specific decay estimates when .
This paper investigates the algebraic structure of two-time physics by demonstrating that its extended phase space corresponds to a reduced Freudenthal triple system over a Lorentzian spin factor, where gauge fixing restricts the system to specific nilpotent orbits, a framework illustrated through both relativistic and non-relativistic physical models.
This paper establishes an upper bound for the ground state energy density of a dilute Bose gas of hard spheres in the thermodynamic limit that matches the celebrated Lee-Huang-Yang formula up to lower-order terms.
This paper establishes that in specific modified gravity theories characterized by a parameter , all vacuum Bianchi type IX solutions converge to a Mixmaster attractor composed of Bianchi type I and II states, thereby proving an analogue of Ringström's theorem and demonstrating that, unlike in general relativity, no solutions converge to locally rotationally symmetric states.
This paper explains the impossibility of regularizing intrinsic-exceptional-point singularities in non-Hermitian quantum models like the PT-symmetric imaginary cubic oscillator by constructing an exactly solvable finite-dimensional matrix toy model that mimics the asymptotic degeneracy of these systems while demonstrating that, unlike conventional exceptional points, such singularities cannot be resolved through small perturbations.
This paper demonstrates that sparse random graphs with independent edges can naturally exhibit finite clustering and power-law degree distributions through infinite-mean node fitness and node aggregation invariance, challenging the prevailing view that such structural features require underlying geometry or higher-order dependencies.
This paper establishes the necessary and sufficient conditions for the existence of Schmidt decompositions in multipartite quantum states and provides an efficient algorithm to compute such decompositions when they exist.