This collection explores the fundamental physics concepts that govern how matter and energy interact across the universe. From the invisible forces shaping our daily lives to the complex mechanics driving cosmic phenomena, these studies reveal the underlying rules of reality. Here, we translate cutting-edge research into insights anyone can understand, bridging the gap between abstract theory and tangible discovery.

Every new preprint in this category originates from arXiv, where researchers first share their latest findings with the global community. At Gist.Science, we process each of these submissions to provide both detailed technical summaries and clear, plain-language explanations. This dual approach ensures that whether you are a seasoned physicist or a curious learner, you can grasp the significance of every breakthrough without getting lost in dense equations.

Below are the latest papers in Class-Ph, freshly processed and ready for you to explore.

🔭 astrophysics

Projective Transformations for Regularized Central-Force Dynamics: Hamiltonian Formulation

This paper presents a Hamiltonian framework for regularizing and linearizing central-force dynamics by introducing a new canonical extension of projective decomposition, which yields closed-form solutions for inverse-square and inverse-cubic forces while being numerically validated for the two-body problem with J2 perturbations.

Joseph T. A. Peterson, Manoranjan Majji, John L. Junkins2026-09-17
🔢 mathematics

Efficient calculation of inductive coupling for arrays of wire ring resonators

This paper addresses the need for efficient and precise calculations of inductive coupling in large arrays of wire ring resonators under non-quasistatic conditions by deriving a series expansion for generalized inductance and proposing a numerical approximation method validated through examples of loop pairs and metamaterial scattering.

Stepan K. Zhogolev, Mikhail Y. Petrov, Aleksandr O. Makarenko, Mikhail Lapine, Alexey A. Shcherbakov2026-09-15
🌀 nonlinear sciences

A Canonical Lagrangian Formulation of the Two-Dimensional Lotka-Volterra System

This paper derives a canonical Lagrangian formulation for the two-dimensional Lotka-Volterra predator-prey system directly from its Hamiltonian, revealing a mechanical interpretation of the dynamics as a particle in a potential well with position-dependent damping or "revving," and verifies the construction by identifying the system's Hamiltonian as the conserved quantity via Noether's theorem.

Dima Watkins, Gene Chen2026-09-15
⚛️ general relativity

Wave optical imaging of an oscillating electric dipole orbiting a black hole

This paper derives the electromagnetic radiation from an oscillating electric dipole orbiting a Kerr black hole using first-principles perturbation theory and develops a wave-optical imaging framework that reveals relativistic beaming, gravitational lensing, and polarization-dependent scattering effects beyond geometric optics.

Filipe Nazaré, João S. Santos, Vitor Cardoso, José Natário2026-09-11
🔬 optics

A Two-Mirror Faceted Projection System for EUV Lithography

This paper proposes an all-reflective, two-mirror faceted projection system for EUV lithography that achieves high numerical aperture (0.993\approx 0.993) and significantly improved optical throughput by utilizing dedicated planar mirror pairs for each diffraction order, rigorous optical path equalization, and optimized multilayer coatings to resolve sub-10-nm features.

Vasiliy A. Es'kin, Egor V. Ivanov, Olga V. Martynova2026-09-11
🔬 applied physics

Resonant Excitation of Surface Plasmon for Wakefield Acceleration by Beating GW Lasers on Smooth Cylindrical Surface

This paper theoretically and numerically demonstrates that beating two co-propagating laser pulses on a smooth cylindrical plasma-vacuum interface can resonantly excite high-amplitude surface plasmon wakefields via curvature-induced geometric effects, offering a pathway to portable laser-driven plasma accelerators using state-of-the-art gigawatt fiber lasers.

Bifeng Lei, Hao Zhang, Alexandre Bonatto, Bin Liu, Javier Resta-Lopez, Matt Zepf, Guoxing Xia, Carsten Welsch2026-09-10
🔬 physics

Induced electromotive force of a thin metal rod in the alternating electromagnetic field of Helmholtz coil: experimental results and theoretical analysis

This paper experimentally demonstrates that the induced electromotive force in a thin metal rod within a Helmholtz coil's alternating magnetic field peaks at a specific off-center radial position where the rod partially extends beyond the coil, a phenomenon successfully explained and quantitatively validated through four theoretical magnetic field models.

Yilin Shao, Minghan Gao, Baiqing Li, Xiaoguang Li, Chengfu Mu2026-09-09