Mass Hierarchy and Charge Structure in the Collective Vacuum Model: From a Single GL(3,C) Field to Leptons, Baryons and Electroweak Modes

This work develops the Collective Vacuum Model (CVM) by connecting the previously identified charged-lepton mass hierarchy to the internal geometry of a single collective matrix field (\mathcal{M}\in GL(3,\mathbb{C})). Using the polar decomposition of the field, the model separates a Hermitian deformation sector, associated with multiplicative mass transport, from an (SU(3)) unitary sector carrying internal orientation and topology. The same structure contains a neutral (3\otimes\bar{3}=1\oplus8) sector, integer (SU(3)) winding, and a rank-one projector whose spectrum reproduces the quark-like charge ratios ((2/3,-1/3,-1/3)). An embedded (SU(2)) subalgebra yields the corresponding charged-transition algebra and standard hypercharge assignments. The paper also explores a candidate epoch-dependent relaxation of the lepton and baryon sectors toward a (4\pi) spinorial reference scale, leading to an electroweak-scale estimate near (98,\mathrm{GeV}). A combined collision-induced and (SU(2)) deformation gives the testable ideal-limit relation[m_H^2m_W^5=m_Z^7.] Electromagnetic (U(1)), photon transversality, gauge zero-mode normalization, and the distinction between geometric (CP^1) two-forms and the physical electromagnetic field are treated explicitly. Throughout the paper, established mathematics and Standard Model relations are separated from results derived within explicit CVM ansätze and from open model hypotheses. The work is intended as a consistency and structural study rather than a complete derivation of the Standard Model. The main remaining task is to derive the relevant mass and gauge structures from the Hessian of a single microscopic CVM action.