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 an inverse method to construct exact atmospheric models that explain the observed 3.7–4.4 mHz acoustic resonances by demonstrating that a finite-thickness mesospheric cut-off barrier, modeled via a Rosen-Morse potential, accounts for the distinct damping behaviors of the fundamental and overtone modes through quantum-like tunnelling and leakage mechanisms.
This paper establishes that the de Sitter-covariant indecomposable Krein realization of scalar discrete-series unitary irreducible representations of possesses an underlying Araki-cohomological structure that refines the standard Gupta-Bleuler triplet into a four-layer quadruplet, thereby distinguishing the physical representation from its complex-conjugate sector through non-trivial first cohomology classes.
This paper establishes a scale-invariant spatial non-collapse estimate for hypersurface-orthogonal timelike geodesic congruences by extending Raychaudhuri-based comparison methods to include quantitative bounds on spatial distance distortion, ensuring that domain volumes remain bounded below by a positive, time-dependent coefficient before any potential comparison solution blow-up.
This paper introduces a generalized framework for heterogeneous diffusion with position-dependent recruitment and mortality, revealing that such systems reach a non-equilibrium stationary state with a recruitment-independent saturation limit and exhibit a counter-intuitive "mortality-assisted search" effect where an optimal removal rate minimizes search times and accelerates epidemic spread.
This paper proves that for locally finite Galton-Watson trees with infinite offspring mean, the critical parameter for the emergence of infinite cycles in the random interchange process is zero, thereby establishing a complete dichotomy with the finite-mean case where the critical parameter is strictly positive.
This paper demonstrates that a specific constrained gauge theory with a degenerate curvature kinetic operator and an adjoint Higgs field restricted to the orbit is locally equivalent to Yang-Mills theory, while also drawing structural parallels to the Stelle-West Higgs-gravity action and introducing projected Pontryagin theories.
This paper characterizes the existence of positive bidiagonal factorizations for banded totally positive matrices via the convergence of Metelmann factors and demonstrates how these factorizations yield explicit mixed-type Chebyshev multiple orthogonal polynomials with absolutely continuous spectral measures and associated random walk laws.
This paper establishes the asymptotic completeness of wave operators intertwining ordinary or fractional Laplacians with Hardy operators under short-range perturbations, while demonstrating their nonexistence for long-range potentials, utilizing three distinct analytical approaches including abstract semigroup frameworks, Kato smoothness theory, and novel propagation estimates.
This paper resolves a longstanding problem in Bernoulli percolation by deriving sharp Ornstein--Zernike asymptotics for the probability of finite cluster connections between distant points throughout the entire supercritical regime on (), utilizing a combination of a new volume bound and an adapted coarse-graining framework that eliminates the need for mass separation.
This paper introduces -TNR, a tensor network renormalization framework that incorporates fusion category constraints to flow from non-fine-tuned initial tensors to stable gapless fixed points, thereby enabling a topological bootstrap that accurately recovers sector-resolved conformal data for various conformal field theories.