gill1109 wrote:The 2x2 complex matrices form an 8 real-dimensional associative, non-commutative, and unitary (there is a multiplicative unit element) algebra. It's called Cl(3, 0)(R).
https://arxiv.org/pdf/1203.1504.pdf. "Does Geometric Algebra provide a loophole to Bell’s Theorem?" (with correction note).
It should be noted that the arXiv preprint Gill has linked contains numerous elementary mathematical and conceptual mistakes. I have exposed all of his mistakes in the following papers:
(1) Refutation of Richard Gill's Argument Against my Disproof of Bell's Theorem,
https://arxiv.org/abs/1203.2529,
(2) Macroscopic Observability of Fermionic Sign Changes: A Reply to Gill,
https://arxiv.org/abs/1501.03393,
(3) Refutation of Scott Aaronson's Critique of my Disproof of Bells Theorem,
https://www.academia.edu/38423874/Refut ... ls_Theorem.
You may wonder why do I care or bother responding to Gill's fallacious claims month after month, year after year. Well, because Gill has made so much negative noise about my work during the past ten years that all those who matter in the physics community --- namely, the peer-reviewers selected by physics journals --- think that my work has long been "canceled by Richard D. Gill", as Howard Wiseman (who was one of the peer-reviewers of my
RSOS paper according to a blog post by Florin Moldoveanu) put it in his official referee report for
RSOS. But Richard D. Gill has by no means "canceled" anything. All Gill has done during the past ten years is exposed his own extremely elementary mathematical and conceptual mistakes regarding my work.
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I've modified and enhanced John Reed's original Mathematica quaternion simulation to use full 3D vectors and no hidden variable that follows the GAViewer simulation here. The quaternions actually work better for the production calculation. Here is a PDF file of the Mathematica simulation,
