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Magic Star and Exceptional Periodicity: an approach to Quantum Gravity

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arxiv 1811.11202 v1 pith:CVFNKACG submitted 2018-11-27 hep-th math-phmath.MPmath.RAmath.RT

classification hep-thmath-phmath.MPmath.RAmath.RT
keywords exceptionalalgebrastructuresalgebraicapproacharguebeyondchain
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abstract

We present a periodic infinite chain of finite generalisations of the exceptional structures, including the exceptional Lie algebra $\mathbf{e_8}$, the exceptional Jordan algebra (and pair) and the octonions. We will also argue on the nature of space-time and indicate how these algebraic structures may inspire a new way of going beyond the current knowledge of fundamental physics.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exceptional Periodicity and Magic Star Algebras. I : Foundations

    math.RT 2019-09 conditional novelty 5.0 of 10

    The paper rigorously defines 'Magic Star algebras', periodic finite dimensional generalizations of e6, e7, and e8, which are Lie algebras only at the base level n=1.

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