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The geometry of physical observables

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Oct 2020Embargo end date: 01 Jan 2020 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 61 (issn: 0022-2488, eissn: 1089-7658, Copyright policy )Funded by:DFG | unidentified, EC | Qosmology
Authors: S. Farnsworth;

doi: 10.1063/5.0021707 , 10.48550/arxiv.2003.01708

arXiv: 2003.01708

handle: 21.11116/0000-0005-EA1A-7 , 21.11116/0000-0005-EA18-9 , 21.11116/0000-0007-6070-E

The geometry of physical observables

Abstract

Jordan algebras were first introduced in an effort to restructure quantum mechanics purely in terms of physical observables. In this paper, we explain why, if one attempts to reformulate the internal structure of the standard model of particle physics geometrically, one arrives naturally at a discrete internal geometry that is coordinatized by a Jordan algebra.

Related Organizations
Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Unified quantum theories, FOS: Physical sciences, Associated geometries of Jordan algebras, Mathematical Physics (math-ph), Mathematical Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
Green
hybrid