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 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.
This paper generalizes the notion of blobbed topological recursion to settings with non-topological expansions and proves that its differentials satisfy KP integrability when the input blobs are KP-integrable, thereby unifying and providing a new proof for the previously conjectured integrability of non-perturbative differentials.
This paper introduces a novel operator-based framework for laser-plasma wakefield acceleration in capillary discharges that utilizes specific mathematical operators to systematically describe coupled laser-plasma dynamics and invariant subspaces, while integrating neural operator methods to enable efficient reduced-order modeling and predictive control for next-generation accelerator experiments.
This paper proposes a quantum-coherent thermodynamic framework based on "minimum-variance foliation" of state space, introducing a "leaf typicality" hypothesis that extends eigenstate thermalization to non-equilibrium dynamics by demonstrating that local observables are determined solely by a state's leaf label and energy.
This paper establishes rigorous integrability conditions for one-dimensional quantum systems to be classified as free or interacting fermions by defining free fermions through the simultaneous satisfaction of the Yang-Baxter equation and Shastry's decorated star-triangle relation, and provides a procedure to construct integrable interacting models, such as the Hubbard and XY models, via deformations of these free fermionic -matrices.