Finite-Capacity Vacuum Response: A Precision Unification of Electroweak, Leptonic, and Nuclear Scales

This technical report presents a unified framework based on the Finite-Capacity Vacuum, addressing simultaneously three of the most persistent tensions in contemporary precision physics: the W-boson mass (CDF II measurement), the muon anomalous magnetic moment (Fermilab g-2), and the proton charge radius. In contrast to prevailing approaches that respond to experimental discrepancies through the progressive introduction of auxiliary degrees of freedom (effective particles, ad hoc corrections, or non-verifiable extensions), this work adopts a strictly physical strategy: correcting the response of the fundamental medium itself rather than modifying the ontological content of the theory. The vacuum is explicitly treated as a physical medium endowed with finite static rigidity and a causal relaxation time, removing the need for compensatory hypotheses. Using a closed and non-adjustable set of input parameters fixed by universal scales (a0, tau, alphaG), the framework achieves: agreement at the fourth decimal place with the central value of the measured W-boson mass (80. 4335 GeV), consistency at the 10^-10 level in the muon sector, and an independent prediction for the proton charge radius, interpreted as a bare informational core, distinct from hadronic dressing effects present in experimental extractions. The Standard Model is shown to be continuously recovered in the linear-response limit of the vacuum, positioning this framework not as a replacement, but as a minimal physical regularization of its implicit assumptions. This document constitutes the final numerical validation of the approach and serves as a formal priority record for the resolution of precision anomalies via informational vacuum saturation, fixing calculated values in advance of future experimental updates. Relevant aspects of the underlying framework and methodology are protected through formal registration with the Argentine National Institute of Industrial Property (INPI), where applicable.