1695 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 numerical simulations and explicit gate count analyses using Qrisp to characterize the behavior of the Double-bracket Quantum Imaginary-Time Evolution (DB-QITE) algorithm, specifically focusing on its signatures when navigating saddle points in the Riemannian steepest-descent energy landscape.
This paper demonstrates that the multiplicative statistics of unitary random matrices with a critical edge point, where the limiting density vanishes as a power of 5/2, are governed by the first three equations of the Korteweg-de Vries hierarchy, and it analyzes the asymptotic behavior of the corresponding solutions.
This paper establishes a coordinate- and foliation-invariant Heisenberg-type uncertainty principle for sharp position measurements on spacelike hypersurfaces in general relativity, demonstrating that strict confinement to a geodesic ball of radius enforces a momentum uncertainty lower bound of derived from the spectral geometry of the manifold.
This paper rigorously establishes that for boundary-driven open quantum systems in the Zeno limit, the long-time dynamics and steady states are well-approximated by an effective reduced system on the boundary, provided the boundary dissipator is ergodic and gapped, and further proves the existence of a unique steady state with a convergent asymptotic expansion in powers of the inverse dissipation strength.
This paper presents an exact quantization framework for superconducting circuits that derives dressed mode frequencies and constructs a convergent Hamiltonian by synthesizing the Josephson junction's driving-point admittance into a canonical Cauer ladder network, enabling systematic diagonalization across all coupling regimes without requiring artificial ultraviolet cutoffs.
This paper resolves the tension between d'Alembert-Lagrange and integral variational approaches in nonholonomic mechanics by demonstrating that the commutation of variation and differentiation is generally incompatible with Chetaev's principle unless specific geometric conditions are met, while revealing that dynamic consistency can emerge as a collective phenomenon where interactions between multiple non-integrable constraints cancel out deviations from holonomy.
This paper refutes the claim that a generalized de Almeida-Thouless criterion proposed by Jagannath and Tobasco universally characterizes the replica symmetric regime in mixed -spin glasses by constructing explicit counterexamples using the Hopf-Lax representation of the Parisi formula, while noting that the validity of the classical condition for the Sherrington-Kirkpatrick model remains an open question.
This note explains key elements of the recent proof by Y. Deng, Z. Hani, and X. Ma, which extends the derivation of the Boltzmann equation from hard-sphere dynamics to arbitrary large times, provided the solution remains regular, thereby overcoming the short-time limitation of Lanford's original result.
This paper establishes the convergence of solutions from a stochastic 3D Navier-Stokes system to a generalized stochastic primitive equation model that incorporates relaxed hydrostatic assumptions via martingale terms, demonstrating that this modified framework serves as a well-posed, higher-order approximation of the original equations under specific asymptotic scalings and boundary conditions.
This paper rigorously establishes the equivalence between classical moment closure and a nonlinear variational approximation of the Fokker-Planck equation for dilute polymeric flows within the linearized Hookean spring chain setting, demonstrating that the invariance of a Gaussian manifold under linear dynamics recovers the exact Oldroyd-B closure while providing a framework for constructing reduced schemes for nonlinear systems.