2656 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 a Poisson Hamiltonian formulation for the optimal control of mechanical systems on Lie groupoids, demonstrating that symplectic leaves of the dual Lie algebroid serve as the natural reduced phase spaces and proving the equivalence between variational and Poisson Hamiltonian approaches under regularity conditions.
The paper proves that for any local Hamiltonian on a spin chain at finite temperature, there exists a finite entanglement length such that removing an interval of that size renders the remaining left and right half-chains separable.
This paper establishes a general framework for continuous deterministic data assimilation in semilinear parabolic equations using a nudged model driven by partial observations, proving global well-posedness and exponential convergence of the approximating solution to the reference system under suitable conditions, thereby extending the approach to diverse systems like Allen-Cahn, Cahn-Hilliard, Sellers-type energy balance, and bidomain equations.
This study demonstrates that while heavy-tailed -stable jump processes induce anomalous super-diffusive transport in turbulent flows, truncating or exponentially tempering these jumps suppresses long-range excursions and restores classical diffusive behavior.
This paper defines Lorentzian Sabban frames and de Sitter evolutes for space-like curves in Minkowski 3-space to establish the construction, geometric properties, and relationships between Bertrand curves, helices, and space-like constant slope surfaces.
This paper demonstrates that time-like constant slope surfaces in Minkowski 3-space can be reparametrized using rotation matrices derived from unit time-like split quaternions and homothetic motions, with results illustrated through Mathematica-generated examples.
This review paper examines the mathematical properties and biological applications of go-or-grow models, particularly in brain cancer, while highlighting their inherent instability and the current lack of accurate numerical solvers.
This paper establishes the convergence of the massive Klein-Gordon-Maxwell system to the relativistic Euler-Maxwell system in the semi-classical limit using an adapted modulated energy method, while also proving the well-posedness of the latter and clarifying its relationship to the relativistic massive Vlasov-Maxwell equations.
Inspired by BCFW recurrence, this paper introduces plabic tangles and -vector-relation configurations to define promotion maps between Grassmannian products, conjecturing and proving that these maps are quasi-cluster homomorphisms with significant implications for the amplituhedron's geometry and scattering amplitudes in planar super Yang-Mills theory.
This paper demonstrates that Löwdin symmetric orthogonalization (LSO) outperforms Gram-Schmidt orthogonalization in quantifying quantum resources like coherence and superposition by providing a symmetric, order-independent transformation and introducing non-negative Löwdin weights that ensure consistent, physically meaningful resource characterization.