2548 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 while single Majorana modes remain localized at the ends of an XY spin chain (Kitaev chain) tuned to a disorder line, multi-particle Majorana modes penetrate the bulk without attenuation, offering a detectable bulk-edge effect in engineered optical systems.
This paper proposes a new analytical method that solves the Schrödinger equation exactly for general nonlinear potentials by deriving the wave function from classical least action principles and time rescaling, thereby offering a potential replacement for quantum perturbation theory and enabling exact solutions for previously unsolvable systems like the quartic oscillator.
This paper derives explicit solutions for time-fractional anomalous diffusion equations with space- and time-dependent diffusivity coefficients, expressing them in terms of Fox-H and generalized Wright functions to advance the understanding of anomalous diffusion across various fields.
This paper extends the Verlinde-van der Heijden quantum information retrieval protocol to charged black holes by incorporating type III von Neumann algebras, thereby deriving a thermodynamic interpretation of charge evaporation and suggesting constraints on charge quantization through the index-statistics theorem.
This paper derives exact coordinate and momentum distributions for a small composite system of a movable shell and internal particles, demonstrating that their distinct dependencies on particle number and degrees of freedom allow for the inference of internal structure while revealing a unique form of chaotic motion driven solely by internal impacts.
This paper establishes that within the linearized quantum gravity regime of AdS/CFT, the holographic map preserves relative entropy (satisfying the JLMS condition) and, through a modular crossed product construction, rigorously demonstrates that the state-dependent entropy of dual CFT states satisfies the vacuum-subtracted Hubeney-Rangamani-Takayanagi formula for localized semi-classical excitations.
This paper establishes a fundamental separation between regularized bulk universality and unrestricted annealed complexity in spherical -spin landscapes with non-Gaussian disorder, demonstrating that while moment-matching conditions suffice for regularized pressure universality, a coherent block of size prevents unregularized universality even when the first moments match the Gaussian distribution.
This paper establishes the existence and nonlinear stability or instability of rotating Riesz star solutions to the compressible Euler-Riesz equations, demonstrating that rotation can either stabilize or destabilize these stellar configurations depending on whether the system is in the mass-subcritical or mass-supercritical regime.
This paper investigates the spectral asymptotics of vibrations in open-book structures with singularly perturbed density near the binding, demonstrating that the limit operator is a non-self-adjoint block matrix with a genuine Jordan structure where generalized eigenvectors form chains of length at most two.
This paper resolves Sirakov's equal-frequency uniqueness conjecture for the two-component cubic Schrödinger system in dimensions two and three by proving that, within the weak-coupling range, the system possesses a unique positive solution modulo translations, which is necessarily a synchronized state derived from the unique radial solution of the scalar equation.