3210 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 establishes that optimal temporal hiding in correlated quantum reference-frame processes can be mapped to a -ary coding problem, where the trade-offs between payload, leakage, and error resilience are precisely characterized by the parameters of nested classical codes and quantum erasure correction.
This paper establishes a gauge-invariant sign rule for quantum rotor networks, demonstrating that the notorious sign problem in classical simulations is entirely controlled by loop frustration fluxes, which vanish only when all fluxes are zero modulo and otherwise generate an extensive simulation cost applicable to diverse phenomena like the Mott transition and lattice gauge theory.
This paper proposes a quasi-reversibility method that truncates the Fourier series of the solution to a governing equation, transforming the inverse source problem into a system of linear elliptic equations to directly reconstruct the space-dependent source function.
This paper proposes -graded Lie (super)algebras as novel symmetry generators for the -matrix, demonstrating that such structures can extend the supersymmetric algebra and serve as internal symmetries, thereby providing natural generalizations of the Coleman-Mandula and Haag-Lopuszański-Sohnius no-go theorems.
This paper establishes the equivalence between gauge-invariant field strengths of abelian potentials on Poisson manifolds and covariant tensors within the local symplectic groupoid framework, subsequently proposing a Poisson Chern-Simons model and discussing its equations of motion.
This study reveals that a soft robotic arm modeled as a Cosserat rod in a viscous fluid exhibits a counterintuitive sequence of elastohydrodynamic instabilities, where increasing terminal pressure first triggers Hopf bifurcation-induced oscillations and then unexpectedly restores stability at a higher threshold.
This paper demonstrates that while finite radar verification of a strict bound is equivalent to the halting problem, any effective theory sound for such absence statements must leave infinitely many true sentences undecided, thereby providing a simple radar-based realization of a fundamental computability obstruction.
The paper establishes that for all odd dimensions , spherically symmetric Yang-Mills equations in dimensions possess exactly three smooth self-similar solutions (modulo reflection symmetry), two of which admit closed-form expressions, suggesting a rigid and simple landscape for blowup scenarios in high-dimensional gauge theories.
This paper proposes and validates entropy-stable numerical schemes for the generalized Lagrange multiplier (GLM) reformulation of the Chew, Goldberger & Low (CGL) plasma equations, demonstrating that this approach significantly improves the control of magnetic field divergence compared to the standard CGL model.
This paper introduces a symplectic bi-Grassmannian formalism in Klein space that encodes four-dimensional conformal field theory correlators as integrals over mutually orthogonal -planes, offering a geometrically unified, compact, and manifestly covariant framework that reproduces known structures for scalars, fermions, and conserved currents while explicitly revealing the double copy between Yang-Mills and gravity amplitudes.