Follow the math! : the mathematics of quantum mechanics as the mathematics of set partitions linearized to (Hilbert) vector spaces

DOI10.1007/s10701-022-00608-3OpenAlexW4294631392WikidataQ114226451 ScholiaQ114226451MaRDI QIDQ2081054

David P. Ellerman

Publication date: 12 October 2022

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.00384

zbMATH Keywords

partitionsdefinite-all-the-way-downdirect-sum-decompositionsobjective indefinitenesspartition join

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General and philosophical questions in quantum theory (81P05) Quantum measurement theory, state operations, state preparations (81P15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Measures of information, entropy (94A17) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (1)

Entropies and dynamical systems in Riesz MV-algebras

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