2548 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 constructs the first long-range crystals exhibiting arbitrarily fast polynomial quantum dispersion by utilizing highly oscillatory Weierstrass functions and developing a new Fourier decay theory that simultaneously resolves a 1980 question regarding the local time of such functions.
This paper constructs a dual unitary 2-cocycle on a locally compact group extension to define a cocycle bicrossed product deformation of its dual, generalizing previous finite group results and providing a quantization framework for solutions to the Yang-Baxter equation and brace structures via irreducible projective representations and Kohn-Nirenberg type maps.
This paper establishes a general connection between kinematics and the folding of Grassmannian cluster algebras by deriving explicit kinematic constraints in terms of Plücker coordinates and constructing a family of foldable seeds that reproduce these constraints for arbitrary .
This paper establishes a framework for constructing solutions to higher-order polygon and simplex equations by demonstrating how commutative pairs of polygon equation solutions generate higher-order polygon solutions and by defining a compatibility condition between -gon and dual -gon equations to derive solutions for - and -simplex equations.
This paper computes the full probability distribution of the moment of inertia for a harmonically trapped noninteracting Bose gas in the thermodynamic limit, demonstrating that its large deviation rate function exhibits a singularity at a critical value that serves as a real-space diagnostic for the Bose-Einstein condensation transition in dimensions greater than two.
This paper establishes a classification framework for invertible translation-invariant stabilizer codes using relative L-theory groups, revealing that their equivalence classes in three and four spatial dimensions correspond respectively to the Witt group of 2D abelian topological orders and a conjectural non-trivial invertible phase.
This paper derives an exact, closed-form expression for the digital Euler characteristic (genus) of conservative multiplicative cascades using a transfer operator on an ultrametric tree structure, thereby analytically linking their topological scaling to multifractal spectra without requiring Monte Carlo simulations.
This paper proves that the even-spin component of the supermoduli space for genus 4 super Riemann surfaces is non-projected by constructing a specific compact curve and demonstrating that the obstruction class to projectedness does not vanish when restricted to it.
The paper introduces PhysElite, a large-scale bilingual multimodal benchmark containing 11,586 Olympiad-level physics problems with step-by-step solutions, which reveals that even the most advanced multimodal large language models currently achieve only 33.7% accuracy on these complex reasoning tasks.
This paper provides a spectral geometric description of the variational equation for the Korteweg-de Vries (KdV) equation around cnoidal waves by characterizing it through the interaction of two spectral curves.