MathTheBeautiful Tensors vs. Space-times Numbers 1: Calculus in Manifold
Channel: Doug Sweetser
Date: 2017-05-24

MathTheBeautiful (Pavel Grinfeld) has a series of tensors. Tensors a great, but I am hoping that space-time numbers - a technical variation on quaternions - might be better for mathematical physics.

In this video, I talk about where calculus happens. For tensors, changes happen in the tangent space of the manifold. For space-time numbers, change happens in the manifold itself. That is a better thing.