math-ph papers | Gist.Science

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.

Categorical Symmetries via Operator Algebras

This paper proposes that the symmetry category of a 2D quantum field theory with a 0-form $G$ -symmetry and 't Hooft anomaly $k$ is equivalent to the category of twisted measurable fields of Hilbert spaces over $G$ , and demonstrates that its Drinfeld center corresponds to the representation category of a twisted groupoid $C^*$ -algebra, thereby enabling the computation of bulk 3D SymTFT braiding and providing physical examples for both abelian and non-abelian Lie groups.

Qiang Jia, Ran Luo, Jiahua Tian, Yi-Nan Wang, Yi Zhang2026-04-29⚛️ hep-th

Fractional Angular Momentum and Quasi-Probability Densities for Angular Degrees of Freedom

This paper explores the use of two-parameter quasi-probability densities to identify quantum behavior in states with fractional mean angular momentum, demonstrating that while negative values in these densities can signal quantum superpositions, experimental uncertainty data can also reveal these unique quantum features.

Bo-Sture K. Skagerstam, Per K. Rekdal2026-04-28🔢 math-ph

Asymptotic Preserving and Accurate scheme for Multiscale Poisson-Nernst-Planck (MPNP) system

This paper proposes and validates a two-species multiscale model for the Poisson-Nernst-Planck system that accounts for the simultaneous, Coulomb-coupled motion of positive and negative ions interacting with a small-scale surface trap.

Clarissa Astuto, Giovanni Russo2026-04-28🔢 math-ph

Learning Latent Graph Geometry via Fixed-Point Schrödinger-Type Activation: A Theoretical Study

This paper theoretically establishes that neural architectures using fixed-point Schrödinger-type dynamics on learned latent graphs are equivalent to global stationary systems on supra-graphs, providing a unified framework that links these models to sheaf-based architectures and ensures complexity is governed by sparse graph geometry rather than dense connectivity.

Dmitry Pasechnyuk-Vilensky, Martin Takáč2026-04-28🔢 math-ph

Overcoming limitations on gate fidelity in noisy static exchange-coupled surface qubits

This work employs simulations of open quantum systems and the theory of quantum optimal control, specifically the Krotov method, to overcome noise-induced limitations in statically coupled exchange surface qubits, and demonstrates that high-precision operations are achievable through optimized experimental designs that surpass conventional Rabi driving.

Hoang-Anh Le, Saba Taherpour, Denis Janković, Christoph Wolf2026-04-28🔬 physics.atom-ph

Correct mathematical models of joint filtration of two immiscible viscous liquids

This paper argues that current macroscopic models for the joint filtration of immiscible liquids, such as the Buckley-Leverett model, are insufficient because they lack microscopic detail, and proposes that exact modeling should instead be achieved through classical Newtonian mechanics and homogenization methods.

Anvarbek Meirmanov2026-04-28🔢 math-ph

A QFT information protocol for charged black holes

This paper generalizes the Verlinde-van der Heijden quantum information retrieval protocol to type III von Neumann algebras relevant to Quantum Field Theory, deriving a formula for charged black hole evaporation that links the statistical dimension of superselection sectors to thermodynamics and suggests constraints on charge quantization.

Paolo Palumbo2026-04-28🔢 math-ph

The asymptotic charges of Curtright dual graviton and Curtright extensions of BMS algebra

This paper constructs the asymptotic gauge charges for the Curtright mixed-symmetry field interpreted as a dual graviton in five-dimensional Minkowski spacetime, revealing a charge algebra that forms an abelian extension of a BMS-like algebra with a higher-spin supertranslation sector when restricted to specific symmetry generators on the sphere at null infinity.

Federico Manzoni2026-04-28🔢 math-ph

Effect of kinetic energy operator on double heterostructures spectra

This paper investigates how different mathematical forms of the kinetic energy operator affect the energy spectra of double heterostructures with position-dependent effective mass, utilizing both analytical transcendental equations and reflection coefficient pole analysis to critically evaluate the relevance of various operators.

R. Valencia-Torres, J. García-Ravelo, E. Choreño-Ortiz, J. Avendaño2026-04-28🔢 math-ph

Defining the Magnetization State of LCF Magnets: From Material Properties to Motor-Level Metrics

This paper proposes a unified framework of four magnetization state definitions—ranging from intrinsic material properties to motor-level electrical quantities—to bridge the gap between material characterization and performance evaluation in variable flux motors using low coercive force magnets.

Taha El Hajji, Aleksandr Nadkin, Stefan Skoog, Lars Sjöberg, Kristoffer Nilsson, Anthony C. Morcos2026-04-28🔬 physics.app-ph

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