Timeline for Do spinors form a vector space?
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| May 20, 2021 at 14:14 | comment | added | iSeeker | Further, in his Introduction section, Coddens writes of the mathematical paradoxes that the book is concerned with, in particular: “When Cartan says physicists use spinors like vectors, he pinpoints the fact that they act as though (X, Y, Z) = (x, y, z)” [i.e. that the isotropic coordinates of (X, Y, Z) ϵ C3 are treated like the particle coordinates (x, y, z) ϵ R3”], though Coddens he admits (p. 6) that it doesn’t seem to invalidate physicists’ results. | |
| May 20, 2021 at 14:11 | comment | added | iSeeker | In spite of my doubts I’ve acquired Coddens’ book. In terms of his precision and careful explanations, the book reminds me of Simon Altmann’s similarly careful (but much less contentious) treatment in his book on some of the related matters "Rotations, Quaternions and Double Groups" (1986; Dover 2005). Coddens’ presentation includes a discussion of a hemispherical representation of the set of all reflection normals (compare the SO(3) ball manifold) and 4-pi topology (pp. 82-84), which seems consistent with your approach, though I’ve not worked my way through it yet. | |
| May 17, 2021 at 11:16 | comment | added | iSeeker | Welcome. In spite of your relatively short take on the Coddens question (and the likelihood that most SE readers are already familiar with the GA you review here), I appreciate - and will contemplate - the details of your geometric interpretation of spinor geometry. Thank you. | |
| May 17, 2021 at 3:05 | history | edited | Nullius in Verba | CC BY-SA 4.0 |
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| May 17, 2021 at 2:34 | review | First posts | |||
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| May 17, 2021 at 2:28 | history | answered | Nullius in Verba | CC BY-SA 4.0 |