/sci/ - Science & Math » Thread #11551354

20KiB, 270x270, 1-s2.0-S0021999119305157-gr001.jpg

View Same Google iqdb SauceNAO

Anonymous Fri 10 Apr 15:50:43 2020 No.11551354 View Reply Original Report

Quoted By: >>11551382 >>11551387

Is there a functional use for octonions, sedenions ect.

Anonymous

Anonymous Fri 10 Apr 2020 15:59:25 No.11551380 Report

Quoted By:

TS^7 = S^7 x R^7

Anonymous

Anonymous Fri 10 Apr 2020 15:59:37 No.11551382 Report

Quoted By: >>11551529

>>11551354
Yes. Or by functional do you mean physical? I think octonions are used in theoretical physics.

Anonymous

Anonymous Fri 10 Apr 2020 16:00:53 No.11551387 Report

Quoted By:

>>11551354
The octonions are occasionally useful in group theory. All the exceptional Lie groups are automorphisms of (stuff related to) the octonions, and octonions can be used in some alternative constructions of finite simple groups.
I've never heard of anyone using sedenions for anything.

Anonymous

Anonymous Fri 10 Apr 2020 16:02:18 No.11551395 Report

Quoted By: >>11551475 >>11553090

https://www.youtube.com/watch?v=3BZyds_KFWM&list=PLNxhIPHaOTRZMO1VjJcs7_3dgyJ2qU1yZ

Anonymous

View Same Google iqdb SauceNAO divisionalgebras.jpg, 39KiB, 653x294

Anonymous Fri 10 Apr 2020 16:23:50 No.11551475 Report

Quoted By:

They do have applications in theoretical physics (see >>11551395). I think I once saw a nice picture of each division algebra, their corresponding Lie group and an application in physics; maybe in Wikipedia or something but I can't find it anymore.

Anonymous

Anonymous Fri 10 Apr 2020 16:42:35 No.11551529 Report

Quoted By:

>>11551382
There's one professor who tries to introduce them as a possible GUT, but it seems they are way too tedious to use to be useful in the grand scheme of things. At least for now.
They also seem to contain particle modes which we haven't observed yet, so they are testable.

Anonymous

Anonymous Sat 11 Apr 2020 02:21:35 No.11553090 Report

Quoted By:

>>11551395
does she get into the nitty gritty? this is a very shitty intro if she does, looks like some popsci vid

Capcode	All Only User Posts Only Moderator Posts Only Admin Posts Only Developer Posts
Show Posts	All Only With Images Only Without Images
Deleted Posts	All Only Deleted Posts Only Non-Deleted Posts
Ghost Posts	All Only Ghost Posts Only Non-Ghost Posts
Post Type	All Only Sticky Threads Only Opening Posts Only Reply Posts
Results	All Grouped By Threads
Order	Latest Posts First Oldest Posts First

Your latest searches