2548 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 geometric realization of spherical T-duality for oriented -bundles over by relating it to bifree -diagrams and demonstrating that, after stabilization, these dualities between homotopy 7-spheres (including exotic ones like the Gromoll–Meyer sphere) are implemented by product-preserving generalized logarithmic transformations.
This paper determines the exact bulk one-arm exponent for CLE percolations in the non-simple regime by leveraging the coupling between Liouville quantum gravity and SLE curves, thereby completing the set of arm exponents for the fuzzy Potts model and providing the first prediction for the bichromatic one-arm exponent of the critical 3-state Potts model.
This paper presents a quantum algorithm that efficiently generates arbitrary -qubit pure superposition states with specified precision using one-qubit rotations, multi-controlled C-NOT gates, and a crucial controlled measurement to eliminate garbage without requiring classical pre-calculation or suffering from low success probabilities.
This paper establishes the "Physical Counting Impossibility Theorem," which argues that no fixed-budget physical substrate can provide universal exact proof because the thermodynamic cost of retaining the necessary irreversible records eventually exceeds the system's finite capacity.
This paper proves that the free state of the Potts model on Cayley trees is either extremal or glassy, a result that extends the characterization of the Ising model's free state to the entire spin-glass regime.
This paper establishes universal asymptotic formulas for the number of connected, labeled, genus- Eulerian maps with arbitrary degree sequences as the vertex count grows, linking the leading constant to the Painlevé I equation via orthogonal polynomials and analytic combinatorics, while also providing the first exact enumeration for genus-1 non-regular maps.
This paper establishes the local Lipschitz continuity of the focalization and cut times in globally hyperbolic spacetimes, extending classical Riemannian results to the Lorentzian setting and proving that the cut locus has a Hausdorff codimension of at least one.
This paper introduces the "Hamilton extension," a constructive procedure for four-dimensional vector sets that transforms KS-colorable configurations into KS-uncolorable ones by generating emergent measurement contexts, thereby establishing that six vectors constitute the minimal parent set capable of producing logical Kochen-Specker contradictions through this mechanism.
This paper establishes the -inextendibility of one-horizon Birmingham-Kottler spacetimes with nonpositive cosmological constant and general closed fibers by proving a local obstruction to continuous extensions at warped spacelike singularities and classifying the finite proper-time ends of timelike geodesics without requiring symmetry or homogeneity assumptions.
This paper introduces a class of regular axisymmetric black hole geometries characterized solely by mass and spin that interpolate between regular spacetimes and the Kerr solution, featuring quasi-extremal configurations independent of the spin-mass ratio and offering a framework for analytically describing Kerr black hole formation.