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The Jordan formulation of Quantum Mechanics: a review
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abstract
This is a transcription of a conference proceedings from 1985. It reviews the Jordan algebra formulation of quantum mechanics. A possible novelty is the discussion of time evolution; the associator takes over the role of $i$ times the commutator in the standard density matrix formulation, and for the Jordan algebra of complex Hermitian matrices this implies a Hamiltonian of the form $H= i[x,y] + \lambda \mathbb{I}$ for traceless Hermitian $x,y$ and real number $\lambda$. Other possibilities for time evolution in the Jordan formulation are briefly considered.
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Cited by 1 Pith paper
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Trace dynamics, octonions, and unification: An $E_8 \times E_8$ theory of unification
A brief review of the author's octonionic unification program, which claims to derive the standard model, gravity, and two new forces from trace dynamics and E8 × E8 symmetry.
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