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 provides a comprehensive classification of the edge singularities and interior zeros of the Brown measure for deformed -valued circular elements, establishing that the measure possesses a real-analytic density with specific jump discontinuities at the spectral boundary and demonstrating that all identified singularity types are realizable in the context of large non-Hermitian random matrices.
This paper introduces a novel parallel athermal quasistatic deformation scheme that utilizes a two-level stepping approach to significantly accelerate the computation of molecular system trajectories, achieving speed-ups between 2.02 and 6.33 times while maintaining simulation accuracy.
This paper derives an explicit formula for spherically symmetric solutions to the Klein-Gordon equation in a de Sitter expanding universe and applies these results to analyze the temporal decay of fields generated by a pionic atom.
This contribution presents a theory-independent, geometric analysis of the interior of Schwarzschild black holes, demonstrating that dynamical evolution generically produces new singularities absent in static configurations, thereby imposing stringent constraints on gravitational collapse.
This paper establishes that the perturbative Chern-Simons path integral expanded around flat connections forms a horizontal family over the moduli space of flat connections in the BV formalism, enabling the construction of a metric-independent volume form on this moduli space that serves as a 3-manifold invariant.
This work establishes the curvature decay rate as a universal geometric threshold for the coupled Einstein–Maxwell system and demonstrates that decay rates faster than this value lead to compact perturbations, whereas a decay rate exactly at triggers delocalization of the essential spectrum as well as the emergence of gravitational and electromagnetic memory.
This paper constructs a universal logic representing the event space of a -times repeated experiment for any general orthocomplemented complete lattice , extending the classical Boolean result to non-distributive logics and defining tensor products for families of such lattices.
This paper investigates topological defects in non-unitary conformal field theories by constructing impurity models and defect operators within restricted solid-on-solid lattice systems, where numerical computations of energy spectra and thermodynamic properties are validated against analytical predictions and used to analyze renormalization group flows.
This paper identifies the rank two Jacobi algebra as the dynamical algebra of the generic quadratic superintegrable model on the two-sphere, enabling an algebraic derivation of its exact solution and wavefunctions expressed in terms of two-variable Jacobi polynomials.
This paper establishes the first part of a six-paper series presenting an operator-algebraic framework that derives special relativity from non-relativistic quantum mechanics by analyzing the photon sector of free QED, distinguishing the roles of constants and , and proposing the "SR-selection conjecture" which posits that the transition to a relativistic Haag-Kastler net is structurally obstructed in the Galilean case.