The Origin of the Equality R²g = rv²
Year: 2026
Type: preprint
Abstract: This preprint examines the physical and geometric origin of the equality R²g = rv². It proposes that attraction toward the center and cyclic orbital motion may be interpreted as two different manifestations of the same central electromagnetic effect. The radial structure is expressed as 4πR²g, while the cyclic structure is expressed as 4πrv². The study explains why 4πr and v² arise within the proposed two-component motion model and shows the mathematical connection between 4πrv² and Kepler’s r³/T² relation. The central argument is that R²g = rv² is not taken as the starting assumption, but as the simplified result of two independently constructed geometric structures.
Author: Gürel, Kadir
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225010920