Microphysical Extensions: Topology, Spectrum, Confinement, and Scale Continuity (Complete Derivations and Step-by-Step Analysis)

We present the microphysical extensions of Quantum Informational Relativity (QIR), built upon the informational field p(x) and the geometric modulation Z(p). This work develops, with full derivations, five complementary aspects: (i) the topological classification of stationary solutions and the emergence of particle families; (ii) perturbative quantization around informational solitons and the resulting mass spectrum; (iii) parameter mapping and experimental correspondence; (iv) an informational confinement mechanism consistent with strong interactions; (v) macro–micro continuity linking cosmology and particle structure. The framework preserves covariance, generalized conservation, and the unified Einstein equation with Z appearing in the numerator.