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 introduces a robust optimisation framework that combines variational residual minimisation with a resolvent-based Galerkin projection to efficiently compute invariant solutions, such as equilibria and periodic orbits, for wall-bounded flows like rotating plane Couette flow.
This paper demonstrates that a Thurston-based theory of gravity admits shear-free and static solutions across all Bianchi-Kantowski-Sachs topologies and ensures isotropization with a positive cosmological constant while preventing recollapse under the weak energy condition, thereby resolving specific limitations of General Relativity without introducing additional parameters.
This paper establishes the uniqueness and logarithmic stability of recovering the bottom shape of water waves from surface measurements and boundary data on a bounded domain, without additional assumptions for uniqueness and under a local fatness condition for stability.
This paper introduces a new mechanism called "symmetry spans," where a global symmetry embedded into two larger symmetries enforces infrared gaplessness when no compatible gapped phase exists, offering a powerful tool to establish symmetry-enforced gaplessness even with discrete and non-anomalous continuous symmetries.
This paper introduces causal hidden quantum Markov models (cHQMMs) where emissions precede hidden state transitions, demonstrating that this causal order generally produces distinct, distinguishable quantum processes compared to conventional models, while proving that the two architectures converge only when derived from entangled liftings of classical hidden Markov models, thereby establishing a clear boundary between classical and genuine quantum memory effects.
This paper proposes and validates an exact formula for three-point functions in critical loop models by unifying conformal field theory, lattice transfer-matrix methods, and probabilistic approaches based on conformal loop ensembles and Liouville quantum gravity.
This paper investigates the long-time behavior of exact and numerical solutions for linear stochastic evolution equations on the sphere, demonstrating that while forward and backward Euler-Maruyama schemes fail to preserve the correct evolution of physical quantities like energy and momentum, the stochastic exponential integrator successfully maintains these properties.
This paper derives and analyzes a unidirectional asymptotic model for one-dimensional blood flow in viscoelastic arteries, establishing local well-posedness of strong solutions, proving global existence and exponential decay in the purely elastic regime for small data, and providing a numerical study of the model's dynamics across various viscoelastic and amplitude regimes.
This paper employs exact WKB analysis and resurgence theory to unify the quantization of non-Hermitian inverted triple-well systems, deriving exact median-summed spectra that clarify PT-symmetry breaking, characterize exceptional points via algebraic relations between bounce and bion actions, and demonstrate the complex conjugate relationship between resonance and anti-resonance spectra.
This paper establishes the well-posedness of a two-dimensional incompressible vorticity equation driven by fractional transport noise by adapting the sewing lemma to construct Young integrals, and subsequently derives a statistical estimator for the Hurst parameter based on quadratic functionals of the solution.