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arXiv · 1905.04189

A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras

Gerd Niestegge
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Abstract

Quantum theory's Hilbert space apparatus in its finite-dimensional version is nearly reconstructed from four simple and quantum-mechanically motivated postulates for a quantum logic. The reconstruction process is not complete, since it excludes the two-dimensional Hilbert space and still includes the exceptional Jordan algebras, which are not part of the Hilbert space apparatus. Options for physically meaningful potential generalizations of the apparatus are discussed.

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Gerd Niestegge. 2019-05-10. A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras. https://doi.org/10.1098/rspa.2019.0604

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