Refutation of Tropical Sum for Bell's Theorem

Gordon Watson

Gordon Watson

Gordon Watson

Bringing an elementary knowledge of sums and averages to Bell (1964), we refute Bell’s theorem.

Han J.F. Geurdes

With the use of tropical algebra operators and a d=2 parameter vectors space, Bell's theorem does not forbid a, physics vvalid, reproduction of the quantum correlation.

Pierre A. Millette

Mengyao Hu, Jordi Tura

We show that finding the classical bound of broad families of Bell inequalities can be naturally framed as the contraction of an associated tensor network, but in tropical algebra, where the sum is replaced by the minimum and the product is replaced by the arithmetic addition. We illustrate our method with paradigmatic examples both in the multipartite scenario and the bipartite scenario with multiple outcomes. We showcase how the method extends into the thermodynamic limit for some translationally invariant systems and establish a connection between the notions of tropical eigenvalue and the classical bound per particle as a fixed point of a tropical renormalization procedure.