2255 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 demonstrates that accelerating scaling attractors in a two-fluid cosmological system with dark matter particle creation can emerge without dark energy, but only when the energy exchange is driven by dark matter density and flows from dark matter to the second fluid.
This paper reveals that exact Pauli-detecting quantum codes form connected continuous families characterized by a scalar variance parameter , demonstrating that stabilizer codes constitute only measure-zero discrete subsets within a largely unexplored continuum of nonadditive solutions.
This paper establishes the first rigorous end-to-end theory for tensor network belief propagation on strongly injective projected entangled pair states, proving that the algorithm converges efficiently and exhibits "algorithmic locality," which allows local perturbations to be handled via local recomputation and enables accurate approximation of physical quantities in polynomial time.
This paper advances the theory of quadratic Hamiltonians in fermionic Fock spaces by utilizing novel elliptic operator-valued differential equations to achieve diagonalization under weaker assumptions and establishing the equivalence between their definition as generators of Bogoliubov transformations and the condition that the vacuum state lies within their domain, a result analogous to the Shale-Stinespring condition.
This paper establishes that two-dimensional crystallization occurs for the Heitmann-Radin sticky disk potential under any arbitrary norm, proving that minimizers are affine transforms of triangular or square lattices determined by the norm's kissing number, while also constructing explicit -norm families for lattice crystallization and numerically identifying unexpected phase transitions in minimizers for Lennard-Jones and Epstein zeta potentials.
This paper defines invariant, Carrollian-geometric extended boundaries at timelike and spatial infinity (Ti and Spi) for asymptotically flat spacetimes, demonstrating their utility in characterizing asymptotic symmetries, realizing massive field scattering data, and naturally recovering the BMS and Poincaré groups along with Strominger's matching conditions.
This paper generalizes the Vershik-Kerov limit shape problem to circular and linear quiver theories, as well as a double-elliptic setting related to six-dimensional gauge theory, proving that the resulting limit shape is governed by a genus two algebraic curve which suggests unexpected dualities between enumerative and equivariant parameters.
This paper investigates a non-Hermitian Jaynes-Cummings model by analyzing exceptional points and quantum phase transitions within its invariant subspaces, demonstrating that spin-oscillator entanglement entropy profiles effectively distinguish between the resulting real and complex eigenvalue phases.
This paper demonstrates that the multichannel Hankel alternative view of Koopman (mHAVOK) algorithm is a robust, data-driven framework for accurately recovering Hamiltonian parameters in open quantum systems from first-moment observables, outperforming traditional Fourier and matrix-pencil methods particularly in regimes with strong dissipation.
This paper demonstrates that the classical elliptic Toda and Ruijsenaars-Toda chains are specific cases of the elliptic Ruijsenaars chain, derives their classical -matrix structures, and establishes their gauge equivalence to discrete Landau-Lifshitz and XYZ spin chain models.