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Response to Comment on "A Loophole of All "Loophole-Free" Bell-Type Theorems", by J.P. Lambare

Contrary to what Lambare [arXiv:2008.00369] assumes, in non-Newtonian calculus (a calculus based on non-Diophantine arithmetic) an integral is typically given by a nonlinear map. This is the technical reason why all the standard proofs of Bell-type inequalities fail if non-Newtonian hidden variables are taken into account. From the non-Newtonian perspective, Bell's inequality is a property of a limited and unphysical class of hidden-variable models. An explicit counterexample to Bell's theorem can be easily constructed.

preprint2020arXivOpen access
Marek Czachor
quant-ph
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Marek Czachor

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