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 extends Favard-type spectral representations to unbounded banded matrices by utilizing -dependent shifts to ensure positive bidiagonal factorizations of truncated operators, thereby establishing a limiting matrix-valued measure and mixed-type multiple biorthogonality relations that recover the classical spectral theory for Jacobi matrices as a special case.
This paper employs quantum dynamical Krylov complexity to demonstrate that the Hilbert space dimension of a black hole in 2+1-dimensional Anti-de Sitter space equals the exponential of its Bekenstein-Hawking entropy, derived from the late-time saturation of state spread in a chaotic system.
This paper proposes an equatorial projection framework that refines meromorphic 2D CFTs by encoding genus-one couplings via modular-invariant matrices, demonstrating how Verlinde lines and anyon-permuting defects act on commutant pairs within the theory to generate new modular-invariant non-meromorphic theories beyond the landscape.
This paper theoretically derives and experimentally validates how the contact angle of a submerged bubble influences impulsive jet speed, revealing a non-monotonic relationship with depth that yields an optimal bubble curvature only when the tube is submerged.
This paper investigates the Riemann problem for cold plasma equations at an impenetrable interface between two media with different ion fields, where the interface acts as a free boundary determined by generalized Rankine-Hugoniot conditions and the stability criterion of intersecting Lagrangian particle trajectories.
This paper establishes an operator algebraic framework for generalized Cardano polynomials by leveraging the spectral properties of the circular operator and quantum information tools to clarify the structure and solvability of odd-order polynomials while connecting them to Chebyshev polynomials and the Ferrari equation.
This paper establishes a generalized Bekenstein-type entropy bound () for Klein-Gordon wave packets within local, Poincaré covariant nets of standard subspaces, formulates a variational problem for non-localized cases, and connects these results to recent numerical computations on modular Hamiltonians while providing entropy balance and ant formulas.
This paper constructs an infinite set of off-shell, gauge-invariant Dirac observables for toroidal Gowdy cosmologies that remain regular at the Big Bang and systematically connect the full gravitational dynamics to a simpler Carroll-type theory via an anti-Newtonian expansion, thereby generalizing the Asymptotic Velocity Domination property.
This paper proposes that dark energy emerges naturally from a topological mechanism involving massless chiral spinors and harmonic 1-forms in spacetimes with internal boundaries, which induce contortion terms in the Einstein-Cartan action that mimic General Relativity with a cosmological constant.
This paper proposes a novel approach to proving Witten's conjecture on the isomorphism between instanton Floer homology and Khovanov homology by demonstrating that adiabatic solutions of decoupled Haydys-Witten equations correspond to non-vertical paths in a moduli space of extended Bogomolny equations, which can be modeled by the Grothendieck-Springer resolution and suggests a deep connection to symplectic Khovanov homology.