We present a fully geometric, parameter-free derivation of the origin of all matter — ordinary baryons, dark-matter halos, and the particle mass spectrum — within hyperhamiltonian quantum mechanics (HHQM). In this approach we utilize the correspondence between three consistent paradigms R, C, H, of the observer and the three particle generations. A single object, the mascon, emerges as a localized defect of measure equivalence between the Haar (structural) and Lebesgue (metric) measures on the quaternionic monocosm ��∘. At the universal crossover scale ��∗=��−1, the same visibility kernel ��(��)=Σ(��)⋅Πtime(Σ(��)=��/(1+��)2, Πtime=1/2) that already produces the observed baryon-to-dark-matter ratio ΩDM/Ω��≈5.4 and the fine-structure constant ��−1≈137.036 in the cosmological setting now weights the microscopic Haar excess. The resulting mass spectrum is purely geometric: ����,��,��=��(2��+1)����⋅(5/27)⋅(1+����), where �� counts discrete logarithmic Haar shells, �� labels ����(2) fiber irreps, ���� are the paradigm volumes {2,2��,2��2}, and ���� is the exact vista correction derived from kernel curvature (identical to the �� term in the �� prediction). Dark-matter halos are the same mascons viewed in the pure Haar regime. No new particles, no vacuum density scale, no free parameters. The framework closes the gap between the macroscopic two-measure cosmology and the microscopic particle-core structure of nonzero quaternions, restoring strict geometric consistency across all scales.