2578 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 energy spectrum of a quantum vortex ring in a flowing fluid within a cylindrical pipe, demonstrating the existence of states with negative and large effective masses, proposing a mechanism for turbulence formation based on coupled vortex pairs, and offering a new method to determine the critical Reynolds number in quantum turbulence.
This paper establishes that the generalized Stieltjes system defined by a monic polynomial source of degree possesses exactly solutions for generic parameters, a bound derived from intersection multiplicity that is attained on a Zariski open set, while also characterizing the asymptotic behavior of these solutions as the system decomposes into weakly coupled classical Stieltjes systems near the zeros of the source polynomial.
This paper presents lecture notes from a Perimeter Institute course delivered in late 2025 on diffusive quantum measuring instruments and their connection to continuous Markov processes.
This paper extends the shifted topological recursion to a -deformed framework using highest weight vectors in -algebra representations, thereby deriving -deformed quantum curves and unifying approaches to quantum integrability with insights into -deformed moduli spaces.
This paper proposes a unified geometric framework that canonically quantizes closed contact 3-manifolds via holomorphic embeddings into to define finite-dimensional Hilbert spaces, while demonstrating that the Reeb vector field models Einstein gravity under Sasakian assumptions and providing a novel quantum invariant to distinguish tight contact structures.
This paper provides a complete classification of nontrivial solutions, proves the nondegeneracy of the linearized operator, and derives exact -mass identities for the one-dimensional -component cubic nonlinear Schrödinger system, thereby resolving conjectures previously established only for the cases and .
This paper establishes that complex-weighted graphs with sectorial edge weights generate -sectorial Dirichlet Laplacians, enabling their extension to electrical networks to prove convergence results and characterize recurrence through functional spaces, capacities, and resolvent properties.
This paper presents a data-driven method that automatically discovers dimensionless physical groups from raw measurements using logarithmic transformation, singular value decomposition, and integer-exponent search, thereby recovering classical engineering laws without prior knowledge of the underlying physics.
This paper derives the exact time-space correlation function for the finite-length semi-open Glauber-Ising model quenched to zero temperature, enabling the calculation of the dual coagulation-diffusion process's empty-interval probability and confirming consistency with dynamical finite-size scaling theory.
This paper establishes that quantum uniformity norms are pullbacks of matrix-valued uniformity norms under the Weyl orbit embedding, a result that proves their Gowers-Cauchy-Schwarz and triangle inequalities while characterizing Clifford levels via unitary-valued Leibman polynomial maps.