The Algebra of the Pseudo-Observables II: The Measurement Problem Edoardo Piparo‡ Liceo Scientifico Statale “Archimede”, Viale Regina Margherita 3, I-98121 Messina, Italy E-mail:
[email protected] Abstract. In this second paper, we develop the full mathematical structure of the algebra of the pseudo-observables, in order to solve the quantum measurement problem. Quantum state vectors are recovered but as auxiliary pseudo-observables storing the information acquired in a set of observations. The whole process of measurement is deeply reanalyzed in the conclusive section, evidencing original aspects. The relation of the theory with some popular interpretations of Quantum Mechanics is also discussed, showing that both Relational Quantum Mechanics and Quantum Bayesianism may be regarded as compatible interpretations of the theory. A final discussion on reality, tries to bring a new insight on it. Keywords: Quantum measurement problem, interpretation of quantum mechanics, relational quantum mechanics, quantum bayesianism PACS numbers: 03.65.Ta arXiv:1708.01170v2 [quant-ph] 10 Sep 2017 ‡ A.I.F. Associazione per l’Insegnamento della Fisica - Gruppo Storia della Fisica: http://www.lfns.it/STORIA/index.php/it/chi-siamo The Algebra of the Pseudo-Observables II 2 1. Introduction 1.1. Measurement in Quantum Mechanics Quantum measurement theory in standard textbooks is expressed in term of the Copenhagen interpretation, that can be summarized in the following essential points: (i) A state vector gives a complete description of the state of a physical system. It determines the probability distribution of the measure outcomes of any observable quantity. (ii) Our knowledge of the physical reality cannot be expressed but by means of the language of the “Classical Physics”.