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 establishes a Law of Large Numbers and a Central Limit Theorem for random configurations of solitons in the focusing nonlinear Schrödinger equation, demonstrating that as increases, the random solution converges to a deterministic soliton gas limit with quantifiable fluctuations and correlation functions.
This paper establishes a Lorentzian analogue of Reshetnyak's Majorisation Theorem for spaces with upper curvature bounds, demonstrating that any two timelike curves with the same endpoints can be mapped from a convex region in model Minkowski space via a 1-anti-Lipschitz map, thereby providing a discrete-friendly four-point characterization of such curvature bounds.
This paper investigates the super-Liouville equation on the sphere by establishing a generalized Pohozaev-type identity, deriving uniform bounds for spinor components, proving solution compactness in low-energy and Möbius-invariant regimes, and demonstrating the existence of nontrivial least-energy solutions under even coefficient functions via variational methods.
This paper proposes and experimentally demonstrates a novel scheme for generating spatiotemporally localized optical knots and links within a paraxial field by superposing toroidal light vortices, thereby overcoming the longitudinal space-filling limitations of traditional spatial modes and offering robust topological structures for advanced information transfer and storage applications.
This paper demonstrates that a Grover quantum walk on two arbitrary graphs connected by a weak bridge exhibits a pulsation phenomenon characterized by periodic transfer between the graphs with a period of , where the transfer probability depends solely on the number of edges in each graph rather than their specific structures.
This paper extends the formalism of scale-invariant symmetry reduction to singular Lagrangian systems of both particles and fields by utilizing the De Donder-Weyl multisymplectic framework to construct dynamically equivalent frictional theories, with applications to physical models and implications for classical General Relativity.
This paper bridges continuum thermodynamics and kinetic theory by demonstrating that the Rajagopal–Srinivasa principle of maximal entropy production is kinetically equivalent to a minimal relaxation-time principle, and proposes a hybrid Chapman–Enskog–Rajagopal–Srinivasa framework that successfully recovers standard fluid laws while offering enhanced insights for complex materials like liquid crystals.
This paper introduces a mesoscopic partition function based on combined spatial and phase-space coarse-graining that recovers the standard canonical limit and establishes a unified framework linking the factorization of this function to the extensivity of free energy, with deviations quantified by inter-cell correlations and mutual information.
This paper applies exact WKB analysis and Borel–Padé resummation of quantum periods to derive high-precision quantization conditions that accurately reproduce the quasinormal mode frequencies of extremal Reissner–Nordström and Kerr black holes.
This paper presents a general formulation of quantum stochastic master equations of jump type that unifies diverse fields such as non-Hermitian evolutions, hybrid systems, and quantum walks by introducing concepts like "typical trajectories" for recursive solution construction and "exclusive probability densities" to characterize jump statistics.