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 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.
This exploratory numerical study evaluates the potential for quantum advantage in solving network-based linear systems by analyzing 50 graph families across multiple quantum algorithms, identifying specific "good" families that offer exponential speedups over classical solvers, and proposing visual conjectures to predict these advantages while acknowledging practical hardware limitations.
This paper proposes a kinetic model based on Boltzmann-type equations to describe the coupled evolution of wealth and knowledge in national and global markets, demonstrating how individual interactions and international transfers lead to emergent Pareto tails in long-term distributions.
This paper presents a systematic framework for constructing (3+1)-dimensional fermionic topological quantum field theories that realize specified finite symmetry anomalies by translating supercohomology data into fusion 2-categories, ultimately proving that all supercohomology anomalies are realizable while beyond-supercohomology anomalies are not.
This paper establishes the "Teleportation=Translation" conjecture by constructing a continuous unitary interpolation between discrete algebraic teleportation and modular flow, proving that black hole information recovery is rigorously equivalent to a geometric translation generated by twice the modular momentum within a Type II operator algebra framework.