Quaternion Quantum Mechanics [video]

Scott Manley&#x27;s explanation of the ISS accident also introduces quaternions as a coordinate system for objects in space that solves the gimbal lock problem and has other desirable algebraic properties:<p><a href="https:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=dDBt9rZhMb4" rel="nofollow">https:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=dDBt9rZhMb4</a>

I recall from quantum physics classes a long time ago that some elementary particles are not identical to themselves 360 degrees rotated. You need a 720 rotation for that. I recently learned that quaternions have that same property. Would there be a relation?

Reasoning about space and time is just so much nicer in geometric algebra. There&#x27;s a new cool community on geometric algebra <a href="https:&#x2F;&#x2F;bivector.net&#x2F;" rel="nofollow">https:&#x2F;&#x2F;bivector.net&#x2F;</a><p>The founder (Steven De Keninck aka enki) gave a talk at Siggraph2019 <a href="https:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=tX4H_ctggYo" rel="nofollow">https:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=tX4H_ctggYo</a><p>You should join the discord <a href="https:&#x2F;&#x2F;discord.gg&#x2F;vGY6pPk" rel="nofollow">https:&#x2F;&#x2F;discord.gg&#x2F;vGY6pPk</a>

I think it&#x27;s a cool idea, but it&#x27;s one of many that start with a lattice model of space.