Algebraic Structure of Quantum Measurement in RQT
Year: 2025
Type: article
Abstract: 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.
Author: Janiszewski, Krzysztof
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7107952998
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