MathTheBeautiful Tensors vs Space-time Numbers 2: The Dot Product
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.

The dot product was written out in the "rules of the game" video. This leaves open a few questions: what is the formal relationship between scalars and 3-vectors, and what if one used a sine function? A space-time number product give clear and complete answers to these questions.