HTSD - Hartmann Operator Geometry - Release 1.0 (Preprint Collection)

This release presents the initial preprint collection of the Hartmann Time-Source-Density (HTSD) Theory and the emerging framework of Hartmann Operator Geometry (HOG). The HTSD operator T=D+12Σ2 T = D + 12 Σ^2T=D+21Σ2 is developed as a universal Laplace-type structure on *(-algebras, equipped with a product identity, a Dirichlet-type geometry, a well-defined spectral theory in the Hilbert–Schmidt model, and a functorial behaviour under *(-algebra homomorphisms.This release contains Monograph I and the first three research papers, establishing the axiomatic foundation, the geometric interpretation, and the Lie-algebraic and functorial structure of the HTSD operator.The publication serves as the official timestamp and initial public reference for the long-term development of the HTSD/HOG framework.