2656 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 generalizes Backhausz and Szegedy's result on the infinite regular tree by proving that the Gaussian wave is the unique typical process with Green's function covariance for any infinite tree of finite cone type satisfying mild expansion, thereby establishing the convergence of local eigenvector distributions to the Gaussian wave for random bipartite biregular graphs and generic configuration models.
This paper demonstrates that while the combination of Hamiltonian evolution and dissipation in unital quantum Markov semigroups can initially violate complete modified logarithmic Sobolev inequalities, exponential relative entropy decay eventually re-emerges at finite timescales, with a rate inversely bounded by the dissipative strength in the regime of "self-restricting noise" where strong damping suppresses noise spreading.
This paper presents a new strategy to rigorously establish an improved upper bound of for the Froude number of irrotational solitary water waves, marking the first analytical improvement over Starr's classical 1947 result by deriving new inequalities for relative horizontal velocity and applying them to bound the bottom velocity beneath the wave crest.
This paper proves that the fast mode dynamics in quantum operator evolution exhibit emergent random matrix universality within the Krylov space recursion method, leading to universal Green's function scaling forms in both chaotic and non-chaotic systems and enabling a new spectral bootstrap technique for approximating spectral functions.
This paper offers a pedagogical introduction to black hole information loss for readers with a background in special relativity and quantum mechanics, arguing that no true paradox exists and that proposals deviating from established theories are inherently contradictory.
This review highlights classical electrostatic principles—such as potentials for balls and hyperellipsoids, equilibrium measures, conformal mappings, and balayage measures—and demonstrates their applications in predicting asymptotic behaviors, particle densities, fluctuation formulas, and gap probabilities within statistical mechanics and random matrix theory.
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.