Barry SCHWARTZ (Barijo ŜVARC) (chemoelectric) wrote,

Surprise, surprise!

I had been trying to remember who it was, and when I found him again ( it turned out he too recently used geometric algebra to make an argument against ‘non-locality’.

This actually shouldn’t surprise me, even though it does; geometric algebra is increasingly popular in physics as a substitute for the vector algebra we used when I was in school. (Whether GA has made inroads in the electromagnetic engineering field [pun intended] I do not know.)

Looking over Joy Christian’s paper, I see she seems to give Bell’s ambiguous notations a different reading that IMO does not apply to his Lyons-Lille example, so IMO probably she is reading them incorrectly, or alternatively the Lyons-Lille example was a poorly devised analog for his argument about EPR. (Bell wrote several papers, sometimes using very poor notation.) But that would merely change where the math error manifests, given that no matter how you read Bell he arrives at the wrong result. She’s going to argue (I peeked ahead) that he assumed the products of functions of the ‘hidden variables’ in the ‘local’ theory had to be commutative.

Hofer’s article looks more interesting, because it seems he’s actually claiming something like a new interpretation for the quantum mechanics; he seems to be blaming Bell’s error on discounting a phase component (in the ‘local realistic’ case) because in QM it was represented by imaginary numbers. In geometric algebra it can be represented by real numbers and given a visualizable geometric interpretation.

Wish me luck.
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