1695 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 the semiclassical Einstein equations naturally emerge from the proportionality between quantum relative entropy and horizon area variations, thereby generalizing Jacobson's thermodynamic derivation by replacing classical entropy with well-defined quantum information measures.
Challenging previous conclusions that curvature enhances entanglement, this paper demonstrates that while increasing curvature in de Sitter spacetime strengthens correlations between local field modes, it paradoxically decreases their entanglement, revealing a qualitative alteration of the vacuum's entanglement structure by the cosmological constant.
Motivated by the failure of the Birkhoff–von Neumann theorem in the quantum setting and questions regarding graph quantum automorphisms, this paper introduces graph-based quantum magic squares, demonstrates that their defining analogue already fails for the cycle via an explicit counterexample, and establishes that these structures form compact free spectrahedra admitting monic linear matrix inequality descriptions.
This paper elucidates the symmetry structure of general spin-boson Hamiltonians to derive their exact spectra, a result that is numerically demonstrated for the two-mode case.
This paper proposes a cohomological framework for analyzing perturbative anomalies in quantum mechanics, demonstrating that system perturbations and symmetry anomalies correspond to the first and second Chevalley-Eilenberg cohomology groups, respectively, of the underlying Abelian Lie algebra acting on the Hilbert space.
This paper demonstrates a method for certifying genuine randomness in a black-box setting without relying on assumptions about data generation or a random seed, thereby provably preventing any deterministic adversary from successfully faking random outcomes using single particle state measurements.
This paper demonstrates that by incorporating gravitational constraints and a boundary charge into the algebra of observables on a dynamical black hole horizon, one can construct a Type- von Neumann factor whose entropy satisfies a first law of thermodynamics and is directly related to the Hollands-Wald-Zhang entropy of perturbed black holes via horizon and null infinity fluxes.
This paper rigorously derives a variational action principle for classical initial value problems by taking the classical limit of the Schwinger-Keldysh formalism, revealing that both forward and backward paths possess classical solutions and fluctuations, with the backward path uniquely propagating backwards in time to naturally enforce zero deviation without manual constraint.
This paper introduces HERB, a unified thermomechanically consistent framework driven by the Rice-Beltz concept that integrates hydrogen transport, dislocation emission, and void growth to reconcile multiple hydrogen embrittlement mechanisms (HEDE, HELP, NVC, and HESIV) within a single multiscale model.
This paper establishes the direct and inverse scattering framework for the focusing nonlinear Schrödinger equation with step-like initial data consisting of elliptic traveling waves, formulating the inverse problem as a solvable Riemann–Hilbert problem that generalizes to full soliton-gas initial data.