Algebraic Structure of Quantum Measurement in RQT

This document develops the algebraic structure of quantum measurement within the Relational Quantum Theory (RQT) framework. We show that the measurement process corresponds to a sequence of algebraic reductions through the division algebra hierarchy: 𝕆 → ℍ → ℂ → ℝ. We construct explicit projection operators for the ℍ → ℂ reduction, derive the associated Lindblad dynamics, and propose connections to particle generations and the dark matter problem. The formalism provides a unified algebraic interpretation of wave function collapse, mass generation, and the distinction between visible and dark sectors.