MathTheBeautiful Tensors vs. Space-times Numbers 1: Calculus in Manifold

508 views · Published 24 May 2017 · 5:05 · Indexed 18 October 2026

Channel: Doug Sweetser · 2017 · Science & Technology

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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.

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