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

309 views · Published 24 May 2017 · 4:38 · 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.

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.

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