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Journal Article

The geometry of physical observables

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Farnsworth,  Shane
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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2003.01708.pdf
(Preprint), 370KB

5.0021707.pdf
(Publisher version), 5MB

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Citation

Farnsworth, S. (2020). The geometry of physical observables. Journal of Mathematical Physics, 61: 101702. doi:10.1063/5.0021707.


Cite as: https://hdl.handle.net/21.11116/0000-0005-EA18-9
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.