(depr.) Octonions

It seems to me that Octonions are fine as a hint how to get to the thing, but as you ultimately use GA anyway you can skip it

Even though im not halfway finished with STA i just have to dig here too and well its somewhat nicer to do STA with σ ngl

$Octonions 1$

If you want to remember this easier you can see:

- You can rotate that 120°
- -I sigma is opposite to sigma
- e₇ is in the middle ...

σ₁ = γ₁γ₀
σ₂ = γ₂γ₀
σ₃ = γ₃γ₀

e₁ = -I σ₁
e₂ = -I σ₂
e₃ = σ₁
e₄ = -I σ₃
e₅ = σ₃
e₆ = σ₂
e₇ = -I

Thats just 4D

So i guess you dont actually need this

e₁ = -I σ₁ = γ₂γ₃ e₂ = -I σ₂ = γ₃γ₁ e₄ = -I σ₃ = γ₁γ₂

e₃ = σ₁ = γ₁γ₀ e₆ = σ₂ = γ₂γ₀ e₅ = σ₃ = γ₃γ₀

e₇ = -I