Part I: The Anchor Independence Theorem: Empirical Reduction of the Standard Model

The fundamental mass hierarchy of the Standard Model is currently determined by empirical measurement rather than established through first-principles derivation. This paper presents a phenomenological framework illustrating that these parameters are not mathematically independent, but instead comprise a rigidly constrained, dimensionless web governed by strict algebraic invariants. By establishing the Anchor Independence Theorem, we demonstrate that the entirety of the mass hierarchy—encompassing the non-perturbative QCD confinement scale and the macroscopic gravitational constant G—can be derived entirely from a single arbitrary empirical input. We demonstrate the reversibility of this web by utilizing the electron as the exact metrological anchor, evaluating higher-energy resonances as bare topological states subject to dynamic lattice perturbations, and deriving macroscopic gravity as a pure, zero-parameter geometric output. The presence of this invariant dimensionless network strongly implies that the Standard Model serves as the effective low-energy limit of a highly constrained, discrete topological phase space.