Two-letter words and a fundamental homomorphism ruling geometric contextuality

Michel Planat

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arXiv · 1605.07118

Two-letter words and a fundamental homomorphism ruling geometric contextuality

Michel Planat

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Abstract

It has recently been recognized by the author that the quantum contextuality paradigm may be formulated in terms of the properties of some subgroups of the two-letter free group $G$ and their corresponding point-line incidence geometry $\mathcal{G}$. I introduce a fundamental homomorphism $f$ mapping the (infinitely many) words of G to the permutations ruling the symmetries of $\mathcal{G}$. The substructure of $f$ is revealing the essence of geometric contextuality in a straightforward way.

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Michel Planat. 2016-05-20. Two-letter words and a fundamental homomorphism ruling geometric contextuality. https://arxiv.org/abs/1605.07118

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