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.

Discrete versus continuous -- linear lattice models and their exact continuous counterparts

This paper systematically reviews and analyzes the correspondence between discrete linear lattice models (ranging from infinite to finite with various boundary conditions) and their continuous partial differential equation counterparts, utilizing Fourier analysis to examine their relationship primarily through the lens of dispersion relations.

Lorenzo Fusi, Oliver Křenek, Vít Pr\r{u}ša, Casey Rodriguez, Rebecca Tozzi, Martin Vejvoda2026-03-13🔬 physics

Extended Structural Dynamics and the Lorentz Abraham Dirac Equation: A Deformable Charge Interpretation

This paper resolves the well-known pathologies of the Lorentz Abraham Dirac equation by modeling charged particles as finite, deformable spheres with internal breathing modes, thereby deriving a causal radiation reaction force that eliminates pre-acceleration and runaway solutions while providing a mechanical interpretation of the Schott term as reversible internal energy storage.

Patrick BarAvi2026-03-13🔬 physics

Balance laws versus the Principle of Virtual Work and the limited scope of Noll's theorem

This paper demonstrates that within a distributional framework, the Principle of Virtual Work is necessary to characterize equilibrium in higher-gradient continua where balance laws alone are insufficient, and it clarifies that Noll's theorem regarding surface contact forces relies on assumptions that fail for such materials, thereby validating the existence of curvature-dependent contact interactions.

Casey Rodriguez, Francesco dell'Isola2026-03-10🔬 physics