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Octonions and M-theory

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arxiv hep-th/0301037 v1 pith:PPHD4O4T submitted 2003-01-07 hep-th

Luis J. Boya (Universidad de Zaragoza) This is my paper · ORCID
classification hep-th
keywords m-theoryoctonionsexceptionalrelatedstructuresappeararguebetter
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We explain how structures related to octonions are ubiquitous in M-theory. All the exceptional Lie groups, and the projective Cayley line and plane appear in M-theory. Exceptional G_2-holonomy manifolds show up as compactifying spaces, and are related to the M2 Brane and 3-form. We review this evidence, which comes from the initial 11-dim structures. Relations between these objects are stressed, when extant and understood. We argue for the necessity of a better understanding of the role of the octonions themselves (in particular non-associativity) in M-theory.

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  1. Octonions in Particle Physics through Structures of Generalised Proper Time

    physics.gen-ph 2019-09 conditional novelty 3.0 of 10

    Generalised proper time as a higher-order polynomial yields octonionic exceptional-group structures whose symmetry breaking resembles Standard Model matter, with full unification deferred to a predicted E8 form.

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