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 Lie algebra are encoded on a graph with E 9 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.
Journal of Physics: Conference Series
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Constructing numbers in quantum gravity: infinions
To cite this article: Raymond Aschheim and Klee Irwin 2019 J. Phys.: Conf. Ser. 1194 012008
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IOP Conf. Series: Journal of Physics: Conf. Series 1194 (2019) 012008
IOP Publishing
doi:10.1088/1742-6596/1194/1/012008
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Constructing numbers in quantum gravity: infinions
Raymond Aschheim, Klee Irwin
Quantum Gravity Research, Los Angeles, California, USA
E-mail: raymond@quantumgravityresearch.org
Abstract. 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 e8 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.
1. Introduction
This paper is dedicated to the two centuries of the eight squares theorem, published in
latin as "Adumbratio demonstrationis theorematis arithmici maximale universalis" by Carl
Ferdinand Degen, (October 7th, 1818)[1] and the one century of the Cayley-Dickson process,
"On quaternions and their generalization and the history of the eight square theorem" published
by Leonard Eugene Dickson in March, 1919 [2]. Inspired by the Nag Hammadi codex VI (from
3rd century AD) "The eighth reveals the ninth", we take the ninth-dimensional vision of the
lattice of octonion integrals, the E9 affine Lie algebra, and get a new quasicrystalline view on
q