Quaternions and the ather hypercomplexe numbers

[matteo16]

apologie me if this question isn't corret or is simple for you

do solutions of an equation as quaternions or as the ather hypercomplex numbers exist?

wath do they do in physics?

for exemple ottonions or sedenions

do ather hypercomplex numbers exist?

 

[matt grime]

Yes, of course there are solutions in quaternions to things like x^2+1=0 (there are many, in fact, that being the whole point) and of course the real numbers are a subset of the quaternions...

As for physics, look at John Baez's website (google for it).