Creating 3, 4, 6 and 10-dimensional spacetime from W3 symmetry

J. Ambjorn; Y. Watabiki

Creating 3, 4, 6 and 10-dimensional spacetime from W3 symmetry

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arxiv 1703.04402 v1 pith:GLQYKSD2 submitted 2017-03-13 hep-th gr-qc

Creating 3, 4, 6 and 10-dimensional spacetime from W3 symmetry

J. Ambjorn , Y. Watabiki This is my paper

classification hep-th gr-qc

keywords symmetrybreakingdimensionalleadsimplestspacetimealgebrascomplex

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We describe a model where breaking of W3 symmetry will lead to the emergence of time and subsequently of space. Surprisingly the simplest such models which lead to higher dimensional spacetimes are based on the four "magical" Jordan algebras of 3x3 Hermitian matrices with real, complex, quaternion and octonion entries, respectively. The simplest symmetry breaking leads to universes with spacetime dimensions 3, 4, 6, and 10.

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The emergence of the universe
gr-qc 2026-01 reject novelty 5.0

A Jordan-algebra W3 model knits one-dimensional universes via wormholes into a 4D spacetime; a singular point of its modified Friedmann equation is claimed to explain the hierarchy and the small coupling g.