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Observable and Unobservable in Quantum Mechanics

Poletti, Marcello (2025) Observable and Unobservable in Quantum Mechanics. Foundations of Physics, 55.

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Abstract

This work explores the connection between logical independence and the algebraic structure of quantum mechanics. Building on results by Brukner et al., it introduces the notion of \textit{onto-epistemic ignorance}: situations in which the truth of a proposition is not deducible due to an objective breakdown in the phenomenal chain that transmits information from a system A to a system B, rather than to any subjective lack of knowledge. It is shown that, under such conditions, the probabilities accessible to a real observer are necessarily conditioned by decidability and obey a non-commutative algebra, formally equivalent to the fundamental postulates of quantum mechanics.

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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Poletti, Marcelloepomops@gmail.com0000-0001-7864-5317
Keywords: Quantum Mechainics
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Mr. Marcello Poletti
Date Deposited: 30 Jun 2025 13:28
Last Modified: 30 Jun 2025 13:28
Item ID: 25857
Journal or Publication Title: Foundations of Physics
Publisher: Springer
Official URL: https://link.springer.com/article/10.1007/s10701-0...
DOI or Unique Handle: 10.1007/s10701-025-00868-9
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 9 June 2025
Volume: 55
URI: https://philsci-archive.pitt.edu/id/eprint/25857

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