Does Geometric Algebra Provide a Loophole to Bell's Theorem?

Response to 'Comment on "Quantum correlations are weaved by the spinors of the Euclidean primitives"'

In this paper, I respond to a critique of one of my papers previously published in the Royal Society Open Science entitled 'Quantum correlations are weaved by the spinors of the Euclidean primitives.' Without engaging with the geometrical framework presented in my paper, the critique incorrectly claims that there are mathematical errors in it. I demonstrate that the critique is based on a series of misunderstandings, and refute each of its claims of error. I also bring out a number of logical, mathematical and conceptual errors from the critique and the critiques it relies on.

Gull’s Theorem Revisited

In 2016, Steve Gull has outlined has outlined a proof of Bell’s theorem using Fourier theory. Gull’s philosophy is that Bell’s theorem (or perhaps a key lemma in its proof) can be seen as a no-go theorem for a project in distributed computing with classical, not quantum, computers. We present his argument, correcting misprints and filling gaps. In his argument, there were two completely separated computers in the network. We need three in order to fill all the gaps in his proof: a third computer supplies a stream of random numbers to the two computers representing the two measurement stations in Bell’s work. One could also imagine that computer replaced by a cloned, virtual computer, generating the same pseudo-random numbers within each of Alice and Bob’s computers. Either way, we need an assumption of the presence of shared i.i.d. randomness in the form of a synchronised sequence of realisations of i.i.d. hidden variables underlying the otherwise deterministic physics of the sequence of trials. Gull’s proof then just needs a third step: rewriting an expectation as the expectation of a conditional expectation given the hidden variables.

Comment on 'Quantum correlations are weaved by the spinors of the Euclidean primitives'

I point out fundamental mathematical errors in the recent paper published in this journal 'Quantum correlations are weaved by the spinors of the Euclidean primitives' by Joy Christian.