A Swift Introduction to Spacetime Algebra

Comments · 294

• EL

  @elasticlogic · 11 months ago

  "wait a minute, that's just..." [Simplifies rocket science to shapes] "... a rotation"

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• RA

  @Rafael-rn6hn · 10 months ago

  Acceleration as a rotation in time is a concept I had never heard before.

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• DR

  @drplasma1990 · 3 years ago

  As a physicist: Mind=blown.<br>I am so used to the other set of mathematical tools that it is hard for me to do anything but simple problems with geometric algebra, but I can appreciate how amazing and nice of a tool it is.

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• JU

  @justynpryce · 4 years ago (edited)

  I feel bad, I had never heard of David Hestenes until watching this video, and after looking him up I found out he works in the physics department of my university! I&apos;ll have to pay him a visit it seems.<br><br>Edit: It seems he retired before I started but this was not conveyed on the university&apos;s website :/

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• MI

  @michalbotor · 3 years ago

  this is mind boggling.<br>geometric algebra is the most exciting branch of mathematics i have ever encountered.

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• SU

  @sudgylacmoe · 4 years ago (edited)

  To my viewers that are wanting more videos in From Zero to Geo: Good news! &nbsp;I&apos;ll be getting back to it right away. &nbsp;I just wanted to get this video out there that I think is a better SoME2 submission than the videos in From Zero to Geo.<br><br>EDIT: Since people keep asking me and I realize I should have said it in the video, I said &quot;the zitterbewegung interpretation of quantum mechanics&quot; near the end.

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• US

  @usopenplayer · 2 years ago

  After watching this video, I feel like my brain has been trapped in a cage for my whole life, and this video broke me out and gave me wings. ❤

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• LU

  @lucemiserlohn · 1 month ago

  Ah, the joy of encountering Clifford Algebra for the first time... and to think that at the time Hamilton found the Quaternion description, nobody thought this would ever have use or application.

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• FO

  @FoxxAngel_ · 4 years ago

  I took notes during my second watch and omg, I didn&apos;t realised how much information there was. Everything just came up so naturally that I just took it in at first. I hope you continue to do videos on more complex notions in GA, It&apos;s so engaging !

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• MA

  @MaxxTosh · 4 years ago

  1. I want you to know that your intro to geo algebra was the greatest math video I’ve ever seen and I was so excited to see this<br>2. What was the name of the interpretation of QM, and where can I learn more?<br>3. I would LOVE similar videos for PGA and CGA!<br>4. No seriously, thank you so dearly much for the effort you put into this niche but stunning topic

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• MR

  @Mr.Nichan · 3 years ago

  I just realized that special relativistic spacetime is quite quaternionic. (Also, I think it&apos;s funny that the best thing my spell-checker can guess I meant by &quot;quaternionic&quot; is &quot;fraternization&quot;.)

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• CY

  @CyborusYT · 2 years ago

  Rewatching this, the comparison of physics being unchanged by both rotation and changed reference frames sticks out as wonderful foreshadowing

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