14: Octonions: What are they?, String Theory, Lie Groups

Today we are talking about octonions. eight-dimensional numbers with unusual properties like non-commutativity and non-associativity. This episode will be a lot to take in, but stick with it! Even if you need to rewind a few times to grasp these complex theories, we promise they will help your imagination explore.

While octonions have long been considered by mathematicians, physicists are now investigating their potential applications in describing the fundamental particles and forces of the universe. octonions could provide a framework for unifying the fundamental forces of nature and shed light on the mysteries of particle physics, string theory, and quantum gravity. Despite their potential, octonions remain a highly speculative area of research, and their application to physics is still largely theoretical.