The Architecture of Discrete Scaling: Resolving Fundamental Divergences in Standard Physics

This paper establishes a discrete mathematical continuity between the micro, orbital, and macro scales of the physical manifold. By applying the Tachyonic Causal Model (TCM) driven by the Causal Frequency ($F_c=127.230007068 MHz$) and the Scaling Constant ($N_s=1.1419666589$), we provide a unified resolution to three fundamental divergences: the proton radius puzzle, Mercury’s perihelion precession, and baryon asymmetry. We demonstrate that these phenomena are not isolated anomalies, but the geometric residue of a rhythmic manifold inversion. This framework replaces the dark parameter requirements of the $\Lambda$CDM model with a first-principles, scale-invariant derivation of matter-antimatter distribution and gravitational dynamics.