Pickering, Phil and Baron, Sam and Tanner, John (2026) Vector Mereology. [Preprint]

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Abstract

This paper outlines a notion of parthood for vectors, which has come to the fore in discussions of quantum mechanics. We show that existing accounts fail to generalise in a way that preserves transitivity. We thus present a new more general account that preserves transitivity and is applicable to quantum systems but may have applicability beyond quantum mechanics, including classical vector quantities and waves.

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Item Type:	Preprint
Creators:	Creators Email ORCID Pickering, Phil phil.pickering@outlook.com 0009-0004-8802-2665 Baron, Sam S.Baron@unimelb.edu.au Tanner, John john.tanner@uwa.edu.au>
Keywords:	vectors, quantum mechanics, mereology, parts, parthood
Subjects:	Specific Sciences > Mathematics Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Mr Phil Pickering
Date Deposited:	11 Mar 2026 15:27
Last Modified:	11 Mar 2026 15:27
Item ID:	28475
Subjects:	Specific Sciences > Mathematics Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics
Date:	15 January 2026
URI:	https://philsci-archive.pitt.edu/id/eprint/28475

Available Versions of this Item

• Vector Parthood. (deposited 16 Jan 2026 13:32)
  • Vector Mereology. (deposited 11 Mar 2026 15:27) [Currently Displayed]

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