Physics

Hypercomplex E8 as it relates to the Sedenions, Trigintaduonions, and beyond

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This post will document some work I am doing related to E8, H4, and the hypercomplex forms of algebras and groups. So stay tuned….

Hypercomplex numbers
Trigintaduonions derived using repeated Cayley-Dickson doubling of my “Palindromic Octonions” (one of 480 possible) that creates a unique Derivation chart (as shown below). Red are the Octonion triads and Blue are Sedenions.
Sexagintaquatronions derived using repeated Cayley-Dickson doubling of my “Palindromic Octonions” (one of 480 possible) that creates a unique Derivation chart (as shown below). Red are the Octonion triads, Blue are Sedenion, and Green are Trigintaduonions.
Palindromic Octonions (with 7 split forms) and their Cayley-Dickson generated Sedenions with uniquely symmetric Derivation chart and 84 Zero Divisors

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