Wilce, Alexander (2016) A Royal Road to Quantum Mechanics (or Thereabouts). [Preprint]

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Abstract

This paper fails to derive quantum mechanics from a few simple postulates. But it gets very close --- and it does so without much exertion. More exactly, I obtain a representation of finite-dimensional probabilistic systems in terms of euclidean Jordan algebras, in a strikingly easy way, from simple assumptions. This provides a framework within which real, complex and quaternionic QM can play happily together, and allows some --- but not too much --- room for more exotic alternatives.

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Item Type:	Preprint
Creators:	Creators Email ORCID Wilce, Alexander wilce@susqu.edu
Keywords:	Reconstruction of quantum mechanics; Jordan algebras; Correlation
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Alexander Wilce
Date Deposited:	02 Jul 2016 19:08
Last Modified:	02 Jul 2016 19:08
Item ID:	12246
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Date:	29 June 2016
URI:	https://philsci-archive.pitt.edu/id/eprint/12246

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