- #1

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Please bear with me if my observation looks very crazy.

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- Thread starter K S Mallesh
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- #1

- 4

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Please bear with me if my observation looks very crazy.

- #2

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You can assign to every 4-vector satisfying [tex]v^2 = 1[/tex] a 2x2 special unitary matrix satisfying [tex]\det u = 1[/tex], etc. Now SU(2) matrices transform as two copies of SU(2), whereas spinors transform as one copy. So it is often said that spinors are "square roots" of vectors.

There's a related construction for null vectors and this goes by the name of twistors.

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