1668 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 presents a novel, compact QUBO encoding method for cryptographic algorithms that significantly reduces the number of logical variables and coefficient magnitudes compared to previous approaches, thereby increasing the vulnerability of systems like AES-256 to future quantum annealers.
This paper introduces the HZ character expansion for HOMFLY-PT polynomials to identify factorisability conditions based on hook-shaped Young diagrams, constructs an infinite family of HZ-factorisable hyperbolic knots as extensions of torus knots, and conjectures a decomposition of non-factorisable HZ functions into sums of factorised terms.
This paper proposes a non-integer-dimensional model for anisotropic solids using q-deformed derivatives inspired by Tsallis statistics to derive thermodynamic properties that accurately match experimental data while linking the deformation parameter to microscopic disorder and memory effects.
This paper establishes the connection between previously constructed non-perturbative mean-field trivial solutions of the four-dimensional theory and perturbation theory by demonstrating that, with an UV cutoff, the renormalized perturbation series is locally Borel-summable and asymptotic to the exact non-perturbative solution.
Using the covariant phase space formalism, this paper provides a unified description of noncommutativity in both tensile and tensionless open strings, demonstrating how constant Kalb-Ramond and gauge fields induce boundary-supported symplectic structures that lead to noncommutative endpoint coordinates.
This paper investigates the divergence issues in bilinear products for Schwarzschild black-hole quasinormal modes on hyperboloidal foliations, proposing regularization procedures and flux-based alternatives to define finite orthogonality relations and explicitly compute excitation factors.
This paper establishes a geometric framework using Inönü–Wigner contractions and local slice constructions to prove that non-degenerate relative equilibria and periodic orbits in Hamiltonian systems persist when deforming from the Euclidean plane to constant-curvature surfaces, with specific application to the Newtonian -body problem.
This paper investigates nonautonomous difference equations derived from semi-classical orthogonal polynomials, demonstrating that systems sharing the same Sakai surface type () can be inequivalent due to non-conjugate dynamics and nodal curve constraints, thereby arguing for a refined discrete Painlevé equivalence problem that incorporates group elements and parameter restrictions beyond mere surface classification.
This paper investigates the three-dimensional deformation and bifurcation behavior of inextensible ferromagnetic elastic rods under combined tension, twisting, and magnetic fields by formulating a reduced Hamiltonian system that reveals distinct post-buckling characteristics and localized modes differing between soft and hard ferromagnetic materials.
This paper expands the set of known non-generic solutions to the cubically nonlinear Schrödinger equation by introducing a new family of hyperbolic and rational solutions, building upon previous work that established the non-existence of certain solutions in the general case.