1605 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 systematically establishes the equivalence between two variational formulations of magnetostatics—one using magnetization and magnetic field, and the other using only magnetic induction—demonstrating that this link remains stable in coupled magnetoelastic models despite the absence of standard convex duality and the lack of preserved convexity or coercivity in the transformation.
This paper proves the weak cosmic censorship conjecture for circularly symmetric Einstein-scalar field systems in dimensions with a negative cosmological constant by demonstrating that generic initial data evolve into spacetimes free of naked singularities, a result underpinned by the existence of a mass gap and the instability of naked singularities due to infinite blueshift.
This paper proves the Gang-Kim-Yoon integrality conjecture for all torus knots and non-negative integers by introducing Verlinde numbers derived from the modular S-matrix, establishing their recursion formulas, and demonstrating how adjoint Reidemeister torsions can be recovered from the Hessian of a birational model of the character variety.
This paper introduces Interval Quantum Mechanics (IQM), a finite-precision framework that replaces idealized point states with "quantum parcels" (open sets of density matrices) to resolve foundational paradoxes like the von Neumann entropy dilemma and wave-particle duality by treating quantum states as epistemic geometric objects that evolve deterministically and refine through measurement, while recovering standard quantum predictions in the infinite-precision limit.
This paper presents a complete analysis of the glass transition in the self-overlap-corrected quantum Sherrington-Kirkpatrick model under a transverse magnetic field, determining the phase boundary between glassy and paramagnetic phases through a simplified Parisi variational principle that relies solely on classical order parameters.
This paper demonstrates that time-dependent boundaries in a non-Hermitian spin-boson model, mapped to a Hermitian system via a squeezing transformation, can induce and control transitions between bosonic sectors through the coherent interference of varying non-Hermitian parameters.
This paper aims to bridge a gap in pedagogical literature by demonstrating the application of the Hamilton-Ostrogradski formalism to the Pais-Uhlenbeck oscillator and coupled oscillators, providing a foundation for advanced classical mechanics courses.
This paper conjectures and provides strong numerical evidence that the Mayer series coefficients for dimer gases on various regular bipartite lattices follow a specific asymptotic exponential form, while also drawing surprising connections to Ising model susceptibility series and the partition function, and challenging combinatorialists to explain the latter's "magic" property.
This paper presents a universal improvement to the Robertson-Schrödinger uncertainty relation by introducing a new, experimentally accessible noncommutativity-induced term that tightens the bound for mixed states and becomes an exact equality for all states and observables in two-level quantum systems.
This paper extends the established result of long-range antiferromagnetic order in the AKLT model from Cayley trees to a broader class of structures, including specific tree-like graphs, arbitrary trees with prescribed volume growth, and bilayer Cayley trees.