The Cosmic Gearbox Model

ABSTRACTThis paper introduces a unified, non-empirical kinematic model that connects the micro-world and macro-world through a single elastic vacuum fabric. We demonstrate that fundamental constants (c, G, hbar) are not arbitrary isolated values but properties of a cosmic balance ruled by a linear vacuum density (mu_v) and geometric gearboxes based on 2pi. By forcing objects from the electron and water molecules to planets, black holes, and the entire observable Universe into a light-speed compression framework, their structural parameters collapse symmetrically into identical quantum invariants: 1.05410^-34 Js, 6.62610^-34 Js, and the sub-plank action 1.67810^-35 Js. This proves a fractal, self-consistent topology of the Universe governed by pure rotation and tension.