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

Niestegge, Gerd (2020) A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras. Royal Society Proceedings A, 476. 0-14.

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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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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Niestegge, Gerdgerd.niestegge@web.de0000-0002-3405-9356
Keywords: Jordan algebra, quantum logic, transition probability, higher-order interference
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Gerd Niestegge
Date Deposited: 04 Feb 2020 15:13
Last Modified: 04 Feb 2020 15:13
Item ID: 16880
Journal or Publication Title: Royal Society Proceedings A
Publisher: The Royal Society
DOI or Unique Handle: 10.1098/rspa.2019.0604
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: January 2020
Page Range: 0-14
Volume: 476
URI: http://philsci-archive.pitt.edu/id/eprint/16880

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