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

Preview

Text Arbeitsversion.pdf Download (306kB) | Preview

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.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Published Article or Volume
Creators:	Creators Email ORCID Niestegge, Gerd gerd.niestegge@web.de 0000-0002-3405-9356
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:	https://philsci-archive.pitt.edu/id/eprint/16880

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Altmetric.com

Actions (login required)

View Item