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 investigates the minimum speed limit required for particles to enable the reconstruction of a potential via an inverse scattering problem, utilizing both theoretical examples and a machine learning pipeline to generalize the traditional Radon transform approach.
This paper establishes semiglobal uniqueness for the Lorentzian Calderón problem by comparing a large perturbation of the Minkowski metric to a small one using distorted plane waves and weighted -estimates, thereby solving a formally determined version of the problem without relying on control-theoretic arguments or microlocal reductions.
This paper presents an exact analytical solution for the non-selfadjoint Maxwell–Cattaneo–Vernotte heat conduction equation with heat-transfer boundary conditions by establishing a biorthogonal eigenfunction system, which provides a comprehensive benchmark for analyzing the transition between diffusive and wave-like thermal behaviors across various parameter regimes.
This paper develops an operator-theoretic approach using the Baker-Campbell-Hausdorff formula to analyze Toeplitz determinants with symbols exhibiting slow Fourier decay (), demonstrating that their asymptotic behavior is governed by a quadratic term while higher-order coefficients remain bounded, thereby establishing two-sided bounds and a central limit theorem for associated Circular Unitary Ensemble linear statistics.
This paper demonstrates that in the maximal density regime of self-organized criticality, affine symmetry emerges and the scaling limit of the toppling function converges to the unique concave solution of a Monge-Ampère equation, thereby linking the model's behavior to optimal transport and enabling precise estimates of density deviations.
This paper proves that every PPT linear map has a finite entanglement-breaking index, establishing their eventual entanglement-breaking property in full generality and showing that a broad class of such maps becomes entanglement-breaking within at most three iterations, thereby providing strong evidence for the PPT-cubed conjecture.
This paper presents a general strategy for analyzing the PPT square conjecture, offering a detailed examination of specific tensor cones and their associated mapping classes, with a particular focus on key mappings relevant to quantum information.
The paper proposes the Branched Hilbert Subspace Interpretation (BHSI), a minimalist framework that explains quantum measurement as a unitary branching of local Hilbert space into decoherent subspaces to resolve the measurement problem without wave function collapse or parallel worlds, while offering testable predictions for phenomena like the double-slit experiment and quantum teleportation.
This paper derives the covariant equations for locally rotationally symmetric spacetimes with torsion sourced by a Weyssenhoff fluid in Einstein-Cartan-Sciama-Kibble gravity, establishing a classification scheme for these spacetimes and presenting novel analytical solutions that elucidate the relationship between conformal structure and torsion.
This paper investigates the volumes of moduli spaces of bordered Klein surfaces by deriving explicit formulas for specific topologies using regularized integration and Norbury's extension of Mirzakhani–McShane identities, while exploring their connection to refined topological recursion and identifying challenges in establishing a general geometric recursive structure.