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 establishes a direct correspondence showing that static, orthogonal solutions of the large-distance effective action in Horava gravity are quasi-Einstein metrics, with the converse holding true under a specific condition on the manifold's defining function.
This paper proposes and rigorously supports a holographic dual for the relative entropy of entanglement in a boundary tripartition, equating it to the difference between the areas of a minimal bulk tripartition surface and the standard minimal surface homologous to the subsystems, with proofs provided for both general random tensor networks and specific Haar random tensor configurations.
This paper establishes full Edgeworth expansions for the extreme eigenvalue distributions of Gaussian-type and Laguerre-type random unitary ensembles at their spectral edges, revealing universal correction structures expressed through finite sums of Airy and Bessel functions and their derivatives.
This paper proves the conjectured vanishing threshold and sharp rank-two structure of chained words in the even order Kaleidoscope Yang-Baxter algebra, establishing its underlying monotone-path structure, infinite representation type, and field-independent radical properties.
This paper corrects a sign error in a previous calculation of the vacuum energy for a massive scalar field in a spherical cavity, demonstrating that the renormalized energy vanishes for large masses and exhibits multiple sign changes as a function of the cavity radius.
This paper constructs the complete spectrum of gravitational total-transmission modes for Kerr black holes, establishing a uniform four-family classification that resolves previous ambiguities in symmetry-related roots, clarifies the behavior of divergent branches and exceptional points, and reveals a previously unreported anomalous proximity between the family and unconventional quasinormal modes.
This paper proves the optimal constant for Bravyi's small incremental mixing conjecture by establishing a sharp matrix inequality for the commutator via the operator layer cake theorem, thereby determining the precise dimension-independent limit on quantum entropy mixing rates and correcting a prior conjecture by Lieb and Vershynina.
This paper demonstrates that circle-valued spectral values in Tate Rabinowitz Floer homology correspond to quantized energy levels, thereby recovering the quantum mechanical spectrum of a system of uncoupled harmonic oscillators.
This paper introduces efficient and accurate methods for analyzing and implementing Scrooge ensembles by developing a polynomial approximation for their moments and a quantum algorithm that estimates observable expectation values with low sample complexity, thereby overcoming previous challenges related to non-polynomial integrands and costly postselection.
This paper investigates Lie groups equipped with left-invariant Lorentzian metrics of nonzero constant sectional curvature by characterizing their Lie algebras based on the causal nature of their center and derived ideal, providing complete classifications in dimensions up to four, and proving that semisimple Lie groups admitting such metrics are locally isomorphic to .