3366 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 a systematic theory that derives effective surface susceptibilities for arbitrary curved interfaces by applying a spatial moment expansion to nonlocal optical response kernels, thereby generalizing Feibelman's -parameters to include curvature corrections and establishing generalized Maxwell boundary conditions.
This paper establishes a pathwise deterministic limit for the FENE polymer density equation in random turbulent flow, revealing a new second-order operator that captures average turbulent stretching, and subsequently identifies the stationary distribution of polymer length as the time-scale vanishes.
This paper investigates the multicritical scaling limit of shifted Schur measures, explicitly determining the limit shape of strict partitions and demonstrating that the edge scaling limit of the correlation function converges to a higher-order Airy kernel determinant, thereby rigorously establishing a transition from a Pfaffian point process to a determinantal distribution.
This paper establishes a rigorous mathematical framework for quantum 2x2 games using the Eisert-Wilkens-Lewenstein protocol, extending classical concepts to arbitrary unitary and mixed strategies while proving the existence of Nash equilibria in the quantum setting.
This paper demonstrates that identical topological manifolds, specifically the 7-sphere endowed with inequivalent differential structures, can support distinct physical laws, as evidenced by explicit variations in the Dirac operator spectrum under a Kaluza-Klein reduction to SO(4) Yang-Mills gauge theory.
This paper investigates the spherically symmetric gravitational collapse of diverse matter fields in de Sitter spacetime by combining analytical and numerical methods to demonstrate that the quasilocal formalism of marginally trapped surfaces effectively tracks the evolution of black hole and cosmological horizons.
This paper establishes connections between various definitions of quantum Wasserstein distance and quantum fidelities by proving that optimizing over separable bipartite states yields quantities equal to the Uhlmann-Jozsa fidelity (specifically for qubits) and the superfidelity, while also demonstrating the triangle inequality for certain cases involving pure states.
This paper demonstrates that, unlike their bosonic counterparts which vanish, static fermionic tidal Love numbers are non-zero for non-extremal Reissner-Nordström black holes, highlighting a universal distinction in how black holes respond to fermionic versus bosonic tidal perturbations.
This paper investigates the spectral properties of generators for non-local Dirichlet forms on ultrametric path spaces of Bratteli diagrams and establishes a cohomological Dirichlet principle guaranteeing unique energy-minimizing representatives for cohomology classes when the parameter exceeds a sharp bound determined by the diagram's structure and the measure-theoretic entropy of the associated Gibbs measure.
This paper investigates extreme first-passage statistics of random walkers on discrete hierarchical networks, identifying a unique class of non-classical distributions characterized by a strict lower time bound in source-trap-dominated geometries and explaining the mechanism of "entropic collapse" that destroys this scaling in bulk-dominated structures, thereby establishing a geometry-encoding function to diagnose network hierarchy.