3190 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 demonstrates that the Neumann–Poincaré spectrum does not uniquely determine a planar domain up to Möbius transformation by constructing counterexamples, while simultaneously establishing that the first positive eigenvalues uniquely and stably determine the domain within specific finite-dimensional families of conformal maps under prescribed higher-order constraints.
This paper establishes a Widom trace formula for spatial compressions of semiclassical Schrödinger spectral projections within strictly allowed regions, yielding exact asymptotics for entanglement entropies and their universal ratios to particle-number variance by combining commutator estimates with a boundary-adapted normal form, while demonstrating that continuity and weighted integrability alone are insufficient for such results.
This paper develops an -lane TASEP model with local reservoirs to demonstrate that gradual microtubule degradation can trigger a saddle-node bifurcation in source-driven axonal transport, causing a transition from efficient flow to persistent pathological jamming when cargo production exceeds the network's capacity.
This paper outlines key mathematical methods for deriving nonlinear quantum kinetic equations from many-particle dynamics, focusing on the evolution of observables and addressing generalizations for non-separable initial states.
This paper establishes that the finite-time equilibration error of a quantum subsystem coupled to a maximally mixed bath is strictly bounded by its local autocorrelation function, demonstrating how local relaxation can coexist with exact conservation laws and finely spaced spectra in both periodic clock and random commuting models.
This paper introduces DisCo algebra, a compositional framework for joint probability that demonstrates how combining block-wise CDF summaries with regular conditional measures fails to perfectly reconstruct the original distribution due to an inherent information loss quantified as "probability curvature," which measures the obstruction to lossless decomposition caused by cross-block dependence.
This paper extends the port-Hamiltonian framework by introducing energy ports through the augmentation of Lagrangian submanifolds with external variables, thereby characterizing constrained Hamiltonian systems with input-dependent Hamiltonian functions.
This paper establishes the global well-posedness and proves the global-in-time convergence with an rate of the hyperbolic linear sigma model to its mean-field limit on the two-dimensional torus, including the convergence of their invariant Gibbs dynamics.
This paper establishes the essential self-adjointness and spectral properties of the one-dimensional Dirac Hamiltonian for hydrogenic ions with a screened Coulomb potential, demonstrating a one-to-one correspondence between bound states and heteroclinic saddle-saddle connectors in a dynamical system to analyze how the number of eigenvalues varies with nuclear charge.
This paper establishes that the string tangential structure satisfies the condition for type IIA string theory, extends the orientability of from to , and applies the computed homotopy groups of to analyze anomaly cancellation in specific string theory compactifications.