Constructing numbers in quantum gravity: infinions

Based on the Cayley-Dickson process, a sequence of multidimensional structured natural numbers (infinions) creates a path from quantum information to quantum gravity. Octonionic structure, exceptional Jordan algebra, and e 8 Lie algebra are encoded on a graph with E9 connectivity, decorated by integ...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1194; no. 1; pp. 12008 - 12017
Main Authors Aschheim, Raymond, Irwin, Klee
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.04.2019
Subjects
Graph theory
Lie groups
Number theory
Quantum gravity
Quantum phenomena
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Summary:Based on the Cayley-Dickson process, a sequence of multidimensional structured natural numbers (infinions) creates a path from quantum information to quantum gravity. Octonionic structure, exceptional Jordan algebra, and e 8 Lie algebra are encoded on a graph with E9 connectivity, decorated by integral matrices. With the magic star, a toy model for a quantum gravity is presented with its naturally emergent quasicrystalline projective compactification.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1194/1/012008