Vacuum Mechanics: A Complete Framework (Papers I-IX)

A series of nine papers presenting the Vacuum Mechanics framework, which derives Standard Model parameters from two inputs (N=137, v=246.22 GeV) on the lens space L(137,1). The series covers: the complete framework (I), gauge couplings including the fine-structure constant (II), fermion masses (III), cosmological predictions including dark energy and the Hubble tension (IV), topological properties of L(137,1) including Dedekind sums and modular forms (V), experimental tests and known limitations (VI), pure mathematical results (VII), the Yang-Mills mass gap (VIII), and Navier-Stokes regularity (IX). These are preprints under preparation for journal submission.