1605 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 introduces a new class of -type exact solutions in Finsler gravity that generalize known pp-waves, demonstrating that the resulting Finslerian gravitational waves produce observational signatures on interferometers that are indistinguishable from standard gravitational waves in general relativity.
This paper proves that the vertex-reinforced jump process on the hierarchical lattice is recurrent for spectral dimensions by establishing fractional-moment decay for the effective field of the associated model, thereby identifying the recurrent phase in the model's phase diagram while leaving the weak-reinforcement critical regime as the remaining open problem.
This paper investigates the validity of the Generalized First and Second Laws of thermodynamics in Loop Quantum Cosmology models with spatial curvature, analyzing entropy corrections and exploring the potential role of negative absolute temperatures in resolving thermodynamic violations.
This paper proposes a nonlinear extension of the Madelung transformation using a hyperbolic phase-amplitude coupling to derive amplitude-dependent quantum hydrodynamics that modifies the continuity and force equations, ultimately leading to density-gradient-sensitive corrections in the London equations and Meissner effect.
This paper introduces a unified mathematical framework for density-functional theories on finite-dimensional Hilbert spaces, defining a minimal "scope" of observables and Hamiltonian components that enables the systematic derivation of universal functionals, uniqueness theorems, and convexity properties across a broad class of quantum systems, with specific connections to Lie-algebra structures and symplectic geometry.
This paper demonstrates that incorporating a single Kerr nonlinear element into a time-delayed feedback loop enables continuous-variable quantum reservoir computers to achieve unbounded computational superiority over linear Gaussian systems by generating genuine cross-time nonlinear correlations through loss-induced non-redundant mixing, thereby replacing the need for exponentially many linear modes with a single nonlinear one.
This paper evaluates communication strategies for multi-GPU 3D FDTD simulations with CPML boundary conditions, demonstrating that direct GPU-to-GPU peer exchange significantly outperforms host-staged transfers while revealing that enlarged ghost regions offer only modest benefits due to trade-offs between reduced communication frequency and increased computational redundancy.
This paper reviews rigorous analytic results on the dynamics of periodic FPU chains, establishing stability properties through their connection to the integrable Toda system and KdV hierarchy in the finite and continuous limits, and demonstrating slow thermalization in the thermodynamic limit via the decay of time autocorrelation functions.
This study investigates how magnetic field, anisotropy, Dzyaloshinskii-Moriya interaction, and temperature modulate quantum resources in a two-qubit anisotropic XY model, revealing a distinct hierarchy of thermal degradation where nonlocality vanishes first while coherence persists longest, and demonstrating that anisotropy and DM interactions synergistically enhance the robustness of entanglement and correlations for spin-based quantum technologies.
This paper investigates quantum anomalies of 1-form symmetries by computing the oriented and spin bordism groups of up to degree 8, thereby identifying new mixed perturbative and discrete anomalies in 5- and 7-dimensional theories and providing their physical interpretations through invertible phases and bordism invariants.