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A kinematic derivation of the Born rule

Fraser, Patrick (2026) A kinematic derivation of the Born rule. In: UNSPECIFIED.

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Abstract

Physical theories assign values of quantities to physical systems, and they assign probabilities to the possible outcomes of measurements of those quantities. In quantum theory, probabilities are assigned using the Born rule. Here, I show that the Born rule is uniquely determined by the conditions under which quantum systems instantiate values of quantities as they are specified by the eigenstate-eigenvalue link, together with minimal theory-independent assumptions about how probabilities are sensitive to the structure of physical quantities.


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Item Type: Conference or Workshop Item (UNSPECIFIED)
Creators:
CreatorsEmailORCID
Fraser, Patrickp.fraser@mail.utoronto.ca0000-0003-1804-029X
Keywords: Born rule, quantum mechanics, quantities
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Mr. Patrick Fraser
Date Deposited: 13 Jun 2026 12:45
Last Modified: 13 Jun 2026 12:45
Item ID: 30101
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 12 June 2026
URI: https://philsci-archive.pitt.edu/id/eprint/30101

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