2560 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 systematic adjoint-kernel framework to characterize and quantify "operational concealment," a phenomenon where measurement incompatibility remains mathematically intact but becomes inaccessible under specific quantum channels, providing structural classifications, robustness measures, and geometric insights with implications for restricted-access quantum information.
This paper demonstrates that paraparticles, defined by non-unitary exchange statistics, intrinsically violate Hardy-space analyticity in open quantum systems by introducing a "shadow metric" that distorts the memory kernel's analytic structure and breaks Kramers-Kronig relations at weak coupling, a phenomenon absent in standard unitary bosons and fermions.
This paper establishes that for diffeomorphisms with a dominated splitting, positive Lyapunov exponents along the center-unstable bundle imply non-uniform expansion and the existence of SRB measures, provided the bundle admits a finest 1-dominated splitting on the support of an observable measure.
This paper establishes a combinatorial antipode formula for the sub-adjacent Hopf algebra of the universal enveloping algebra of a post-Lie algebra by twisting the post-Hopf product, which simultaneously yields a closed inverse formula for the Guin-Oudom isomorphism and a cancellation-free antipode expression for the Grossman-Larson Hopf algebra of ordered trees.
This study employs linear stability analysis via the Orr-Sommerfeld eigenvalue problem to investigate the stability mechanisms, vorticity distribution, and energy balance of vertical liquid films on moving substrates across a wide range of Kapitza numbers, revealing that surface tension exhibits dual stabilizing and destabilizing effects and that the Landau-Levich-Derjaguin solution is inherently convectively unstable.
This paper identifies a new class of non-eigenstates where the lower bounds of both Heisenberg-Robertson and Schrödinger uncertainty relations vanish due to zero correlation, and demonstrates that the uncertainty principle fundamentally acts as both a lower bound on the product of standard deviations and an upper bound on the correlation function's modulus.
This paper investigates loop ensembles on locally finite rooted trees induced by Poisson processes of links, demonstrating that while the critical threshold for infinite loops strictly exceeds that of the underlying Bernoulli link percolation on Galton-Watson trees with finite mean offspring, the two thresholds coincide at zero under heavy-tailed offspring distributions in the random interchange case.
This study demonstrates that a Proximal Policy Optimization-based reinforcement learning controller, interacting with pneumatic and electromagnetic actuators, effectively stabilizes 3D liquid metal films on moving substrates by simultaneously pushing wave crests with gas jets and raising troughs via Lorentz forces.
This paper classifies (3+1)d symmetry-enriched topological orders with finite -symmetry by employing 2-categorical (de-)equivariantization to establish a correspondence with -enriched -crossed braided fusion 2-categories, thereby unifying the classification of these theories with fermionic generalizations of the Wang-Wen-Witten construction.
This paper extends the decomposition of cyclic products of fermion correlation functions in genus two by utilizing a framework with a branch point fixed at infinity to express these products in terms of genus two theta functions for up to four points, while deriving trilinear relations from differential equations and outlining a method for the six-point case.