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.

🔬 physics

Note on Jackson's formalism of gauge transformation

This paper outlines Jackson's derivation of the inhomogeneous wave equations for auxiliary functions Ψ\Psi and V\mathbf{V} in his 2002 AJP paper, clarifying their distinct roles in transforming the Lorenz-gauge vector potential to the Coulomb gauge by showing that AC\mathbf{A}_C results from subtracting Ψ\nabla\Psi from AL\mathbf{A}_L rather than being given directly by ×V\nabla\times\mathbf{V}.

V. Hnizdo2026-03-06
🔬 condensed matter

Residual Entropy of Glasses and the Third Law Expression

This paper resolves the apparent contradiction between the nonzero residual entropy of glasses and the third law of thermodynamics by redefining equilibrium states through atomic positions, demonstrating that residual entropy arises from evaluating the system on an extended space of frozen configurations while the entropy of the single thermally active configuration strictly vanishes at absolute zero.

Koun Shirai2026-02-25
🔬 physics

Damped harmonic oscillator revisited: a new approach to energy decay in the case of Coulomb, Stokes, and Newton damping

This paper presents a novel, simplified analytical framework for deriving accurate approximate formulas for energy decay in damped harmonic oscillators under Coulomb, Stokes, and Newton damping, while also offering an exact solution for Stokes damping that bypasses standard differential equation methods, making the approach suitable for undergraduate and advanced high school physics education.

Robert Pezer, Karlo Lelas2026-02-24
🌀 nonlinear sciences

Progresses on some open problems related to infinitely many symmetries

This paper proposes and substantiates a conjecture that the infinite symmetries of integrable systems are linear combinations of translation symmetries associated with the free parameters of multi-wave solutions, suggesting that undiscovered symmetries exist and that a unified hierarchical framework for classical, supersymmetric, and ren-symmetric integrable systems can be established using ren-variables.

S. Y. Lou2026-02-17