2619 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 proof of Robert Bartnik's 1988 cosmological splitting conjecture by combining global viscosity solutions to the Lorentzian eikonal equation with an elliptic approach utilizing the -d'Alembertian operator for .
This paper introduces a multiparameter version of quantum universal enveloping superalgebras and demonstrates that their families, along with their associated multiparameter Lie superbialgebras, remain stable under toral-type twist and 2-cocycle deformations, thereby proving that quantization commutes with deformation.
This paper proposes a novel framework for quantum optimal transport by defining transport costs as linear functions of "states over time" (the Jordan product of a density matrix and a transport map), revealing that this approach yields qualitatively different results from classical Monge transport theory, particularly in the analytically tractable case of unitary-invariant costs.
The paper proposes a novel operator algebraic framework called "Poissonization" to describe the rare topology-changing events in quantum gravity as a universal Poisson process, thereby explaining late-time spectral form factor plateaus and unifying the description of baby universe statistics and multi-boundary correlators across various models like Marolf-Maxfield and Jackiw-Teitelboim gravity.
This paper demonstrates that in the Edwards-Anderson Ising spin glass, the non-existence of space-filling critical droplets implies that incongruent ground states would exhibit volume-scaling energy variance, a result which proves the uniqueness of the metastate in two dimensions and establishes that excitations with positive-density interfaces have energy differences diverging as the square root of the volume.
This paper establishes a geometric framework linking nonabelian multiplicative integration on surfaces to surface holonomy, interpreting the local Stokes law as a curvature obstruction and deriving a global three-dimensional Stokes relation that reproduces the Wess-Zumino phase formula.
This paper establishes the future global-in-time existence and uniqueness of small perturbations for both Maxwell-Jüttner equilibria and vacuum solutions of the massless Boltzmann equation on decelerating FLRW spacetimes with topology, covering hard ball interactions for all expansion rates and vacuum stability for .
This paper introduces a novel eigenvalue technique to solve the adjoint Fokker-Planck equation for the probability distribution of inflationary e-folds, revealing a previously overlooked power-law intermediate regime in quantum diffusion and characterizing how constant drift potentials qualitatively alter the distribution's peak and tail behavior in narrow- versus broad-well limits.
This paper establishes that while smooth observables in the spherical ensemble exhibit standard Gaussian free field fluctuations, logarithmic Green singularities decouple in high dimensions to produce an explicit white-noise limit, yielding precise asymptotics for logarithmic potentials and characteristic polynomials governed by chordal geometry.
This paper integrates Reimann's spectral typicality theorem with Interval Quantum Mechanics to demonstrate that quantum parcels representing finite-precision epistemic knowledge thermalize and concentrate around microcanonical values at late times, while preserving exact separations between conserved quantities even after fuzzy measurements.