Hydrogen Atom and Micro–Macro Geometric Correspondence

This work proposes a geometric interpretation of the hydrogen atom based on a spiral reconstruction mechanism generated by the proton. In this model, the observable electron orbit is interpreted as the projection of an internal motion occurring at the speed of light. A natural reconstruction scale emerges from the geometric mean of the Bohr radius and the classical electron radius, leading to a reconstruction number that reproduces the known relation between the electron orbital velocity and the speed of light. The model shows that the same compactation structure appears both in atomic binding and in gravitational systems, suggesting a possible geometric correspondence between microscopic atomic physics and macroscopic gravitational dynamics.