3210 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 existence, completion, and extension obstructions of mutually unbiased bases by characterizing common unbiased states, demonstrating strong unextendibility in dimension six through amplitude-profile and algebraic constraints, and establishing finiteness results for associated algebraic schemes without resolving the global maximum number of such bases.
This paper provides a complete proof of the Mueller–Ho conjecture from 2002 by establishing the existence of three critical thresholds that determine the global minimizers of a combined theta function and shifted theta function, thereby characterizing the optimal vortex shapes and relative positions in two-component Bose-Einstein condensates.
This paper establishes a general result characterizing the asymptotic vanishing of the -relaxation time of averages under large incompressible drifts within a broad analytic framework, utilizing the singular value gap method to extend prior work by Constantin et al. and Coti Zelati et al.
This paper establishes that coupling independence implies zero-freeness for the antiferromagnetic Potts model and Boolean Holant problems on bounded-degree graphs, proving the absence of Fisher and Lee-Yang zeros in complex neighborhoods of nonnegative activities under specific parameter conditions.
This paper integrates gravitational theories into the framework of factorization algebras by establishing a categorical equivalence for globally hyperbolic manifolds, demonstrating that perturbative general and conformal gravity define Batalin-Vilkovisky classical field theories, and characterizing the observables of linearized general relativity as a factorization algebra on Ricci-flat spacetimes with conjectures linking these structures to black hole entropy.
This paper provides the first von Neumann algebraic quantum group description of the DSSYK model by constructing the quantum Gauss decomposition for , demonstrating that the model's dynamics emerge exclusively from the normaliser extension of the symmetry group, and naturally enforcing physical constraints like length positivity and non-negative integer chord numbers.
This paper presents a constructive algorithm for generating Kraus decompositions of completely positive operators on infinite-dimensional Hilbert spaces by iteratively producing operators with increasing zero entries, thereby ensuring strong-operator topology convergence and improving upon standard nonconstructive proofs through practical process tomography.
This paper introduces a novel framework using scalar generating potentials in orthogonal Grassmannian space and projective geometry to compute three- and four-point cosmological correlators for any spin-, demonstrating that the double copy, color identities, and kinematic relations naturally emerge from the potential's geometric properties and directional derivatives.
This paper proposes "nonlinear spectral computing" based on the nonlinear Schrödinger equation, demonstrating how encoding information as input tokens in wave propagation enables a single physical platform to perform both higher-order combinatorial optimization and programmable Boolean logic, including the solution of 3-SAT instances.
This paper presents a simple ansatz and computational tools to construct integer-spin matrix product state representatives for all symmetry-protected phases defined by triples of topological indices under symmetry, thereby confirming existing classification results and providing explicit examples for spin-1 systems.