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109 points thunderbong | 1 comments | 21 Nov 24 02:17 UTC | HN request time: 0.246s | source

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teleforce ◴[21 Nov 24 05:09 UTC] No.42201329[source]▶

>>42200407 (OP) #

> Yet the technique employed to make the theory useful — renormalization — repulsed Dirac because he found it mathematically ugly.

Perhaps if he had used quaternion the solution will not be mathematically ugly or can even be beautiful [1].

[1] A quaternion formulation of the Dirac equation:

https://mauritssilvis.nl/research/publications/silvis-rug10....

replies(3): >>42201605 #>>42201707 #>>42208791 #

1. kelseyfrog ◴[21 Nov 24 21:21 UTC] No.42208791[source]▶

>>42201329 #

Thank you for posing the quaternion formulation. It inspired me to search for a geometric algebra version of the same equation and was happy to find that it also exists[1].

1. https://fondationlouisdebroglie.org/AFLB-342/aflb342m679.pdf

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January 1928: Dirac equation unifies quantum mechanics and special relativity